Publications

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  • N. Beaton, A. Owczarek. Exact solution of directed walk models of polymeric zipping with pulling in two and three dimensions. Physica A: Statistical Mechanics and its Applications, 566, 125635, 2021. doi: 10.1016/j.physa.2020.125635.

  • A. Owczarek, T Prellberg. Exact solution of pulled, directed vesicles with sticky walls in two dimensions. Journal of Mathematical Physics, 60, 033301 (8pp), 2019. doi: 10.1063/1.5083149.

  • C. Bradly, A. Owczarek. Monte Carlo simulation of 3-star lattice polymers pulled from an adsorbing surface. Journal of Physics A: Mathematical and Theoretical, 52, 275001 (15pp), 2019. doi: 10.1088/1751-8121/ab227c.

  • C. Bradly, A. Owczarek, T Prellberg. Phase transitions in solvent-dependent polymer adsorption in three dimensions. Physical Review E, 99, 062113 (5pp), 2019. doi: 10.1103/PhysRevE.99.062113.

  • C. Bradly, EJ Janse van Rensburg, A. Owczarek, SG Whittington. Force-induced desorption of 3-star polymers in two dimensions. Journal of Physics A: Mathematical and Theoretical, 52, 315002 (13pp), 2019. doi: 10.1088/1751-8121/ab2af4.

  • C. Bradly, EJ Janse van Rensburg, A. Owczarek, SG Whittington. Adsorbed self-avoiding walks pulled at an interior vertex. Journal of Physics A: Mathematical and Theoretical, 52, 405001 (14pp), 2019. doi: 10.1088/1751-8121/ab3cb1.

  • Nathann T Rodrigues, Tiago J Oliveira, Thomas Prellberg, A. Owczarek. Adsorption of two-dimensional polymers with two- and three-body self-interactions.. Physical review. E, 100, 062504 (11pp), 2019. doi: 10.1103/PhysRevE.100.062504.

  • N. Beaton, A. Owczarek, R. Xu. Quarter-plane lattice paths with interacting boundaries: Kreweras and friends. FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics, 2019.

  • N. Beaton, A. Owczarek, A Rechnitzer. Exact solution of some quarter plane walks with interacting boundaries. The Electronic Journal of Combinatorics, 26, 2019. doi: 10.37236/8024.

  • C. Bradly, A. Owczarek, T. Prellberg. Universality of crossover scaling for the adsorption transition of lattice polymers. Physical Review E, 97, 022503 (10pp), 2018. doi: 10.1103/PhysRevE.97.022503. arXiv.

  • A Narros, A. Owczarek, T. Prellberg. Anomalous polymer collapse winding angle distributions. Journal of Physics A: Mathematical and Theoretical, 51, 114001 (9pp), 2018. doi: 10.1088/1751-8121/aaabc8. arXiv.

  • C. Bradly, A. Owczarek, T Prellberg. Adsorption of neighbor-avoiding walks on the simple cubic lattice. Physical Review E, 98, 2018. doi: 10.1103/PhysRevE.98.062141.

  • E. Dagrosa, A. Owczarek, T Prellberg. Writhe induced phase transition in unknotted self-avoiding polygons. Journal of Statistical Mechanics: Theory and Experiment, 2017, 093206, 2017. doi: 10.1088/1742-5468/aa85b9. arXiv.

  • E. Dagrosa, A. Owczarek, T Prellberg. Phase diagram of twist storing lattice polymers in variable solvent quality. Journal of Statistical Mechanics: Theory and Experiment, 2017, 103204, 2017. doi: 10.1088/1742-5468/aa8c2d. arXiv.

  • A. Owczarek, A. Rechnitzer. Force signature of the unzipping transition for strip confined two-dimensional polymers. Journal of Physics A: Mathematical and Theoretical, 50, 484001 (24pp), 2017. doi: 10.1088/1751-8121/aa9105. PDF.

  • A Bedini, A. Owczarek, T Prellberg. Self-attracting polymers in two dimensions with three low-temperature phases. Journal of Physics A: Mathematical and Theoretical, 50, 095003 (28pp), 2017. doi: 10.1088/1751-8121/aa57a6. arXiv.

  • A Bedini, A. Owczarek, T Prellberg. The role of three-body interactions in two-dimensional polymer collapse. Journal of Physics A: Mathematical and Theoretical, 49, 214001 (16pp), 2016. doi: 10.1088/1751-8113/49/21/214001. arXiv.

  • R. Tabbara, A. Owczarek, A. Rechnitzer. An exact solution of three interacting friendly walks in the bulk. Journal of Physics A: Mathematical and Theoretical, 49, 154004 (27pp), 2016. doi: 10.1088/1751-8113/49/15/154004. arXiv.

  • Arturo Narros, A. Owczarek, Thomas Prellberg. Winding angle distributions for two-dimensional collapsing polymers. VIII Brazilian Meeting on Simulational Physics, 686, 012007 (9pp), 2016. doi: 10.1088/1742-6596/686/1/012007. arXiv.

  • J. Krawczyk, A. Owczarek, T Prellberg. A semi-flexible attracting-segment model of three-dimensional polymer collapse. Physica A: Statistical Mechanics and its Applications, 431, 74-83, 2015. doi: 10.1016/j.physa.2015.03.003. arXiv.

  • E. Dagrosa, A. Owczarek, T Prellberg. Writhe-induced knotting in a lattice polymer. Journal of Physics A: Mathematical and Theoretical, 48, 065002 (14pp), 2015. doi: 10.1088/1751-8113/48/6/065002. arXiv.

  • RAMI TABBARA, A. Owczarek. Generalised directed walker models of adsorption and gelation. 2015.

  • Eduardo Dagrosa, A. Owczarek. Statistical mechanics of twist-storing polymers. 2015.

  • R. Tabbara, A. Owczarek, A. Rechnitzer. An exact solution of two friendly interacting directed walks near a sticky wall. Journal of Physics A - Mathematical and Theoretical, 47, 015202 (34pp), 2014. doi: 10.1088/1751-8113/47/1/015202. PDF.

  • H. Lonsdale, I. Jensen, W. Essam j, A. Owczarek. Analysis of mean cluster size in directed compact percolation near a damp wall. Journal of Statistical Mechanics: Theory and Experiment, 3, P03004 (19pp), 2014. doi: 10.1088/1742-5468/2014/03/P03004. arXiv.

  • E. Dagrosa, A. Owczarek. Generalizing Ribbons and the Twist of the Lattice Ribbon. Journal of Statistical Physics, 155, 392-417, 2014. doi: 10.1007/s10955-014-0941-y. PDF.

  • A. Bedini, A. Owczarek, T. Prellberg. Lattice polymers with two competing collapse interactions. Journal of Physics A - Mathematical and Theoretical, 47, 145002 (10pp), 2014. doi: 10.1088/1751-8113/47/14/145002. PDF.

  • A. Owczarek, T. Prellberg. Pressure exerted by a vesicle on a surface. Journal of Physics A - Mathematical and Theoretical, 47, 215001 (9pp), 2014. doi: 10.1088/1751-8113/47/21/215001. arXiv.

  • T. Wong, A. Owczarek, A. Rechnitzer. Confining multiple polymers between sticky walls: a directed walk model of two polymers. Journal of Physics A - Mathematical and Theoretical, 47, 415002 (37pp), 2014. doi: 10.1088/1751-8113/47/41/415002. arXiv.

  • A. Bedini, A. Owczarek, T. Prellberg. Semi-flexible interacting self-avoiding trails on the square lattice. Physica A - Statistical Mechanics and its Applications, 392, 1602-1610, 2013. doi: 10.1016/j.physa.2012.12.019. arXiv.

  • A. Bedini, A. Owczarek, T. Prellberg. Weighting of topologically different interactions in a model of two-dimensional polymer collapse. Physical Review E, 87, 012142 (8pp), 2013. doi: 10.1103/PhysRevE.87.012142. arXiv.

  • A. Bedini, A. Owczarek, T. Prellberg. Self-avoiding trails with nearest-neighbour interactions on the square lattice. Journal of Physics A - Mathematical and Theoretical, 46, 085001 (13pp), 2013. doi: 10.1088/1751-8113/46/8/085001. arXiv.

  • A. Bedini, A. Owczarek, T. Prellberg. Numerical simulation of a lattice polymer model at its integrable point. Journal of Physics A - Mathematical and Theoretical, 46, 265003 (9pp), 2013. doi: 10.1088/1751-8113/46/26/265003. arXiv.

  • A. Bedini, A. Owczarek, T. Prellberg. Anomalous critical behavior in the polymer collapse transition of three-dimensional lattice trails. Physical Review E, 86, 011123 (10pp), 2012. doi: 10.1103/PhysRevE.86.011123. arXiv.

  • A. Owczarek, T. Prellberg. Enumeration of area-weighted Dyck paths with restricted height. Australasian Journal of Combinatorics, 54, 13-18, 2012. arXiv.

  • A. Owczarek, T. Prellberg. Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation. Journal of Physics A - Mathematical and Theoretical, 45, 395001 (10pp), 2012. doi: 10.1088/1751-8113/45/39/395001. arXiv.

  • A. Owczarek, A. Rechnitzer, T. Wong. Exact solution of two friendly walks above a stickywall with single and double interactions. Journal of Physics A - Mathematical and Theoretical, 45, 425003 (23pp), 2012. doi: 10.1088/1751-8113/45/42/425003. arXiv.

  • R. Tabbara, A. Owczarek. Pulling a polymer with anisotropic stiffness near a sticky wall. Journal of Physics A - Mathematical and Theoretical, 45, 435002 (40pp), 2012. doi: 10.1088/1751-8113/45/43/435002. PDF.

  • H. Lonsdale, A. Owczarek. Directed compact percolation near a damp wall with biased growth. Journal of Statistical Mechanics: Theory and Experiment, P11001 (18pp), 2012. doi: 10.1088/1742-5468/2012/11/P11001. PDF.

  • H. Lonsdale, John Essam, A. Owczarek. Directed compact percolation near a damp wall: meanlength and mean number of wall contacts. Journal of Physics A - Mathematical and Theoretical, 44, 1-26, 2011. doi: 10.1088/1751-8113/44/50/505003. PDF.

  • J. W. Essam, A. Owczarek, H. Lonsdale. Mean length of finite clusters in directed compact percolation near a damp wall. Journal of Statistical Physics, 145, 639-646, 2011. doi: 10.1007/s10955-011-0317-5. PDF.

  • J. Krawczyk, A. Owczarek, T. Prellberg. A Semi-flexible attracting-segment model of two-dimensional polymer collapse. Physica A, 389, 1619-1624, 2010. doi: 10.1016/j.physa.2009.12.012. PDF.

  • R. Brak, G. Iliev, A. Owczarek, S. Whittington. The exact solution of a three-dimensional lattice polymer confined in a slab with sticky walls. J. Phys. A: Math. Theor., 43, 135001 (12pp), 2010. doi: 10.1088/1751-8113/43/13/135001. PDF.

  • A. Owczarek. Effect of stiffness on the pulling of an adsorbing polymer from a wall: Exact Solution of a Partially Directed Walk model. J. Phys. A: Math. Theor., 43, 225002 (16pp), 2010. doi: 10.1088/1751-8113/43/22/225002. PDF.

  • A. Owczarek, T. Prellberg. A simple model of a vesicle drop in a confined geometry. Journal of Statistical Mechanics: Theory and Experiment, P08015 (12pp), 2010. doi: 10.1088/1742-5468/2010/08/P08015. arXiv.

  • J. Doukas, A. Owczarek, T. Prellberg. Identification of a polymer growth process with an equilibrium multi-critical collapse phase transition: the meeting point of swollen, collapsed and crystalline polymers. Phys. Rev. E., 82, 031103 (12pp), 2010. doi: 10.1103/PhysRevE.82.031103. arXiv.

  • A. Owczarek, T. Prellberg. Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit with Field and Wall Interactions . Journal of Physics A - Mathematical and Theoretical, 43, 375004 (10pp), 2010. doi: 10.1088/1751-8113/43/37/375004. arXiv.

  • A. Owczarek, S. Whittington. Interacting Lattice Polygons. 775, 301-316, Springer Science+Business Media, 2009. doi: 10.1007/978-1-4020-9927-4_12.

  • R. Brak, P. Dyke, J. Lee, A. Owczarek, T. Prellberg, A. Rechnitzer, S. Whittington. A self-interacting partially directed walk subject to a force. J. Phys. A: Math. Theor., 42, 085001 (30pp), 2009. doi: 10.1088/1751-8113/42/8/085001. arXiv.

  • A. Owczarek, T. Prellberg. Exact solution of the discrete (1+1)--dimensional RSOS model with field and surface interactions. J. Phys. A: Math. Theor., 42, 495003 (9pp), 2009. doi: 10.1088/1751-8113/42/49/495003. arXiv.

  • A. Owczarek. Exact results for a Directed Polymer Model Related to Quantum Entanglement in Far from Equilibrium Stationary States. Journal of Statistical Mechanics: Theory and Experiment, 2009, P12004 (14pp), 2009. doi: 10.1088/1742-5468/2009/12/P12004. PDF.

  • A. Owczarek. Exact solution for semi-flexible partially directed walks at an adsorbing wall. Journal of Statistical Mechanics: Theory and Experiment, 2009, P11002 (15pp), 2009. doi: 10.1088/1742-5468/2009/11/P11002. PDF.

  • H. Lonsdale, R. Brak, John Essam, A. Owczarek, A. Rechnitzer. On directed compact percolation near a damp wall. Journal of Physics A - Mathematical and Theoretical, 42, 1-26, 2009. doi: 10.1088/1751-8113/42/12/125001. PDF.

  • J. Krawczyk, I. Jensen, A. Owczarek, Kumar. Pulling self-interacting polymers in two dimensions. Physical Review E, 79, 1-9, 2009. doi: 10.1103/PhysRevE.79.031912. arXiv.

  • J. Krawczyk, A. Owczarek, T. P. Prellberg. Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers. Physica A - Statistical Mechanics and its Applications, 388, 104-112, 2009. doi: 10.1016/j.physa.2008.10.005. arXiv.

  • A. Owczarek, T. Prellberg, A. Rechnitzer. Finite-size scaling functions for directed polymers confined between attracting walls. J. Phys. A: Math. Theor., 41, 035002:1-16, 2008. doi: 10.1088/1751-8113/41/3/035002. arXiv.

  • A. Owczarek, T. Prellberg. Scaling of the atmosphere of self-avoiding walks. J. Phys. A: Math. Theor., 41, 375004 (6pp), 2008. doi: 10.1088/1751-8113/41/37/375004. arXiv.

  • A. Owczarek, R. Brak, A. Rechnitzer. Self-avoiding walks in slits and slabs with interactive walls. J. Math. Chem., 45, 113-128, 2008. doi: 10.1007/s10910-008-9371-x. PDF.

  • R. Brak, A. Owczarek, A. Rechnitzer. Exact solutions of some lattice polymer models. J. Math. Chem., 45, 39-57, 2008. doi: 10.1007/s10910-008-9366-7. PDF.

  • Y. Chan, A. Owczarek, A. Rechnitzer, G. Slade. Mean unknotting times of random knots and embeddings. J. Stat. Mech.: Theor. Exp., P05004 (16pp), 2007. doi: 10.1088/1742-5468/2007/05/P05004. PDF.

  • R. Martin, E. Orlandini, A. Owczarek, A. Rechnitzer, S. Whittington. Exact enumeration and Monte Carlo results for self-avoiding walks in a slab. Journal of Physics A: Mathematical and theoretical, 40, 7509-7521, 2007. doi: 10.1088/1751-8113/40/27/006. PDF.

  • A. Owczarek, A. Rechnitzer, J. Krawczyk, T. Prellberg. On the location of the surface-attached globule phase in collapsing polymers. J. Phys. A: Math. Theor., 40, 13257-13267, 2007. doi: 10.1088/1751-8113/40/44/007. arXiv.

  • J. Krawczyk, A. Owczarek, T. Prellberg. The competition of hydrogen-like and isotropic interactions on polymer collapse. J. Stat. Mech.: Theor. Exp., P09016:1-15, 2007. doi: 10.1088/1742-5468/2007/09/P09016. arXiv.

  • J. Krawczyk, A. Owczarek, T. Prellberg, A. Rechnitzer. Lattice model for parallel and orthogonal beta sheets using hydrogenlike bonding. Phys. Rev. E., 76, 051904, 2007. PDF.

  • A. Owczarek, T. Prellberg. Exact solution of semi-flexible and super-flexible interacting partially directed walks. J. Stat. Mech.: Theor. Exp., P11010 (14pp), 2007. doi: 10.1088/1742-5468/2007/11/P11010. arXiv.

  • J. Krawczyk, A. Owczarek, Prellberg, A. Rechnitzer. A Lattice Model for Parallel and Orthogonal Beta-Sheets using Hydrogen-Like Bonding. Physical Review E, 76, 051904 (5pp), 2007. doi: 10.1103/PhysRevE.76.051904.

  • A. Owczarek, A. Rechnitzer. On the number of anisospiral walks: a challenge in numerical analysis. 42, 225-230, Counting Complexity: an international workshop on Statistical Mechanics and Combinatorics, 2006. doi: 10.1088/1742-6596/42/1/020. PDF.

  • A. Owczarek. A note on the corrections-to-scaling for the number of nearest neighbour contacts in self-avoiding walks. 42, 221-224, Counting Complexity: an international workshop on Statistical Mechanics and Combinatorics, 2006. doi: 10.1088/1742-6596/42/1/019. PDF.

  • A. Owczarek, T. Prellberg. Collapse transition of self-avoiding trails on the square lattice. Physica A, 373, 433-438, 2006. doi: 10.1016/j.physa.2006.06.012. arXiv.

  • R. Brak, J. W. Essam, J. Osborn, A. Owczarek, A. Rechnitzer. Lattice Paths and the Constant Term. Journal of Physics - Conference Series, 42, 47-58, 2006. doi: 10.1088/1742-6596/42/1/006. PDF.

  • J. Krawczyk, T. Prellberg, A. Owczarek, A. Rechnitzer. Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions. Physical Review Letters, 96, 1-4, 2006. doi: 10.1103/PhysRevLett.96.240603. arXiv.

  • J. Krawczyk, A. Owczarek, T. Prellberg, A. Rechnitzer. Pulling absorbing and collapsing polymers from a surface. J. Stat. Mech.: Theor. Exp., P05008:1-12, 2005. doi: 10.1088/1742-5468/2005/05/P05008. arXiv.

  • J. Krawczyk, A. Owczarek, T. Prellberg, A. Rechnitzer. Layering transitions for adsorbing polymers in poor solvents. Europhysics Lett., 70, 726-732, 2005. doi: 10.1209/epl/i2004-10524-7. arXiv.

  • R. Brak, A. Owczarek, A. Rechnitzer, S. Whittington. A directed walk model of a long chain polymer in a slit with attractive walls. J. Phys. A, 38, 4309-4325, 2005. doi: 10.1088/0305-4470/38/20/001. arXiv.

  • E. J. Janse van Rensburg, E. Orlandini, A. Owczarek, A. Rechnitzer, S. G. Whittington. Self-avoiding walks in a slab with attractive walls. J. Phys. A, 38, L823-L828, 2005. doi: 10.1088/0305-4470/38/50/L01. PDF.

  • T. Prellberg, A. Owczarek. Polymer Collapse in High Dimensions: Monte Carlo Simulation of Lattice Models. 147-151, Computer Simulation Studies in Condensed Matter Physics XVI, Springer Verlag, 2004. PDF.

  • J. Krawczyk, T. Prellberg, A. Owczarek, A. Rechnitzer. Stretching of a chain polymer adsorbed at a surface. J. Stat. Mech.: Theor. Exp., P10004, 2004. doi: 10.1088/1742-5468/2004/10/P10004. PDF.

  • A. Owczarek, T. Prellberg. Monte carlo investigation of lattice models for polymer collapse in five dimensions. Int. J. Mod. Phys. C, 14, 621-633, 2003. doi: 10.1142/S0129183103004802. arXiv.

  • A. Owczarek, T Prellberg. Scaling near theθpoint for isolated polymers in solution. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 67, 3 (3pp), 2003. doi: 10.1103/PhysRevE.67.032801.

  • L. H. Wong, A. Owczarek. Monte carlo studies of three-dimensional two-step restricted self-avoiding walks. J. Phys. A., 36, 9635-9646, 2003. doi: 10.1088/0305-4470/36/37/303. PDF.

  • E. J. Beamond, A. Owczarek, J. Cardy. Quantum and classical localization and the Manhattan lattice. J. Phys. A., 36, 10251-10267, 2003. doi: 10.1088/0305-4470/36/41/001. arXiv.

  • A. Owczarek, T. Prellberg. Scaling near the theta point for isolated polymers in solution. Physical Review E, 67, 2003. PDF.

  • T. Prellberg, A. Owczarek. Pseudo-first-order transition in interacting self-avoiding walks and trails. Comp. Phys. Commun., 147, 629-632, 2002. doi: 10.1016/S0010-4655(02)00352-1. arXiv.

  • C. M. Owczarek, A. Owczarek, PG Board. Identification and characterization of polymorphisms at the HSA alpha(1)-acid glycoprotein (ORM) gene locus in Caucasians. Genetics and Molecular Research, 1, 96-105, 2002.

  • A. C. Oppenheim, R. Brak, A. Owczarek. Anisotropic step, mutual contact and area weighted festoons and parallelogram polyominoes on the triangular lattice. J. Phys. A., 35, 3213-3230, 2002. doi: 10.1088/0305-4470/35/14/305. PDF.

  • A. C. Oppenheim, R. Brak, A. Owczarek. Anisotropic step, surface contact, and area weighted directed walks on the triangular lattice. Int. J. Mod. Phys. B, 16, 1269-1299, 2002. doi: 10.1142/S0217979202010087. PDF.

  • C. M. Owczarek, A. Owczarek, P. G. Board. Identification and characterization of polymorphisms at the HSA alpha(1)-acid glycoprotein (ORM) gene locus in Caucasians. Genet. Mol. Biol., 25, 13-19, 2002. doi: 10.1590/S1415-47572002000100004. PDF.

  • A. Owczarek, A. Rechnitzer, L. H. WONG. Addendum to 'on three-dimensional self-avoiding walk symmetry classes'. Journal of Physics A - Mathematical and General, 34, 6055-6060, 2001. PDF.

  • A. Guttmann, I. Jensen, A. Owczarek. Polygonal polyominoes on the square lattice. J. Phys. A., 34, 3721-3733, 2001. doi: 10.1088/0305-4470/34/18/302. PDF.

  • A. Owczarek, J. Essam, R. Brak. Scaling analysis for the adsorption transition in a watermelon network of $n$ directed non-intersecting walks. J. Stat. Phys., 102, 997-1017, 2001. doi: 10.1023/A:1004819507352. PDF.

  • A. Owczarek, T. Prellberg. Scaling of Self-Avoiding Walks in High Dimensions. J. Phys. A., 34, 5773-5780, 2001. doi: 10.1088/0305-4470/34/29/303. arXiv.

  • T. Prellberg, A. Owczarek. Four-dimensional polymer collapse II: Interacting self-avoiding trails. Physica A, 297, 275-290, 2001. doi: 10.1016/S0378-4371(01)00241-2. arXiv.

  • A RECHNITZER, A. Owczarek. On three-dimensional self-avoiding walk symmetry classes. Journal of Physics A: Mathematical and General, 33, 2685-2723, 2000. doi: 10.1088/0305-4470/33/14/307.

  • A Rechnitzer, A. Owczarek, D RECHNITZER, LH WONG. On three-dimensional self-avoiding walk symmetry classes. Journal of Physics A: Mathematical and General, 33, 2685-2723, 2000. doi: 10.1088/0305-4470/33/14/307.

  • A. Rechnitzer, A. Owczarek. On three-dimensional Self-avoiding walk symmetry classes. J. Phys. A., 33, 2685--2723, 2000. PDF.

  • T. Prellberg, A. Owczarek. Four-dimensional polymer collapse: Pseudo-First-Order Transition in Interacting Self-avoiding Walks. Phys. Rev. E., 62, 3780-3789, 2000. doi: 10.1103/PhysRevE.62.3780. arXiv.

  • A. Owczarek, T. Prellberg. First-order scaling approach to a second-order phase transition: Tricritical polymer collapse. Europhys. Lett., 51, 602-607, 2000. doi: 10.1209/epl/i2000-00380-5. arXiv.

  • R. Brak, J. Essam, A. Owczarek. From the Bethe Ansatz to the Gessel-Viennot Theorem. Annals of Comb., 3, 251-263, 1999. PDF.

  • R. Brak, JW Essam, A. Owczarek. From the Bethe Ansatz to the Gessel-Viennot theorem. Annals of Combinatorics, 3, 251-263, 1999. doi: 10.1007/BF01608786.

  • R. Brak, JW Essam, A. Owczarek. Partial difference equation method for lattice path problems. Annals of Combinatorics, 3, 265-275, 1999. doi: 10.1007/BF01608787.

  • T. Prellberg, A. Owczarek. On the Asymptotics of the Finite-Perimeter Partition Function of Two-Dimensional Lattice Vesicles. Commun. Math. Phys., 201, 493-505, 1999. doi: 10.1007/s002200050565. arXiv.

  • R. Brak, J. Essam, A. Owczarek. Exact solution of N directed non-intersecting walks interacting with one or two boundaries. J. Phys. A., 32, 2921-2929, 1999. doi: 10.1088/0305-4470/32/16/003. PDF.

  • R. Brak, J. Essam , A. Owczarek. Equivalence of the Bethe Ansatz and the Gessel-Viennot Theorem for Non-intersecting Paths. 108--118, Proceedings of the 11th Formal Power Series and Algebraic Combinatorics Conference, 1999. PDF.

  • R. Brak, A. Owczarek. A combinatorial interpretation of the free-fermion condition of the six-vertex model. J. Phys. A., 32, 3497-3503, 1999. doi: 10.1088/0305-4470/32/19/303. arXiv.

  • R. Brak, J. Essam, A. Owczarek. Partial Difference equation method for lattice path problems. Annals of Comb., 3, 265--275, 1999. PDF.

  • D. Bennett-Wood, I. Enting , D. S. Gaunt, A. Guttmann, J. L. Leask, A. Owczarek, S. Whittington. Exact Enumeration Study of Free Energies of Interacting Polygons and Walks in Two Dimensions. J. Phys. A., 31, 4725-4741, 1998. doi: 10.1088/0305-4470/31/20/010. arXiv.

  • R. Brak, A. Owczarek, C. Soteros. On Anisotropic Spiral Self-avoiding Walks. J. Phys. A., 31, 4851-4869, 1998. doi: 10.1088/0305-4470/31/21/005. PDF.

  • M. T. Batchelor, D. Bennett-Wood, A. Owczarek. Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents. Europ. Phys. J. B, 5, 139-142, 1998. doi: 10.1007/s100510050426. arXiv.

  • D. Bennett-Wood, J. L. Cardy, I. Enting , A. Guttmann, A. Owczarek. On the Non-Universality of a Critical Exponent for Self-Avoiding~Walks. Nuc. Phys. B, 528, 533-552, 1998. doi: 10.1016/S0550-3213(98)00419-2. arXiv.

  • R. Brak, P. P. Nidras, A. Owczarek. Cluster Structure of Collapsing Polymers. J. Stat. Phys., 91, 75-93, 1998. doi: 10.1023/A:1023083903287. PDF.

  • A. Owczarek, T. Prellberg. Existence of four-dimensional polymer collapse I: Kinetic growth trails. Physica A, 260, 20--30, 1998. PDF.

  • A. Guttmann, A. Owczarek, X. G. Viennot. Vicious walkers and Young tableaux I: Without walls. J. Phys. A., 31, 8123-8135, 1998. doi: 10.1088/0305-4470/31/40/007. PDF.

  • R. Brak, J. Essam, A. Owczarek. New Results for Directed Vesicles and Chains near an Attractive Wall. J. Stat. Phys., 93, 155-192, 1998. doi: 10.1023/B:JOSS.0000026731.35385.93. PDF.

  • A. Owczarek, A. Rechnitzer, R. Brak, A. Guttmann. On the Hulls of Directed Percolation Clusters. J. Phys. A., 30, 6679-6691, 1997. doi: 10.1088/0305-4470/30/19/011. PDF.

  • D. Bennett-Wood, A. Owczarek. Exact Enumeration Results for Self-Avoiding Walks on the Honeycomb Lattice Attached to a Surface. J. Phys. A., 29, 4755-4768, 1996. doi: 10.1088/0305-4470/29/16/004. PDF.

  • A. Guttmann, A. Owczarek, D. Bennett-Wood, T. Prellberg. Recent Developments in the Study of Walks, Polygons and the Ising Model. Nuc. Phys. B. (Proc. Suppl.), 42, 911-913, 1995. doi: 10.1016/0920-5632(95)00419-A. PDF.

  • M. T. Batchelor, A. Owczarek, K. Seaton, C. M. Yung. Surface Critical Behaviour of an O(n) Loop Model Related to Two Manhattan Lattice Walk Problems. J. Phys. A, 28, 839-852, 1995. doi: 10.1088/0305-4470/28/4/011. PDF.

  • T. Prellberg, A. Owczarek. Models of Polymer Collapse in Three Dimensions: Evidence from Kinetic Growth Simulations.. Phys. Rev. E., 51, 2142-2149, 1995. doi: 10.1103/PhysRevE.51.2142. PDF.

  • A. Owczarek, T. Prellberg. The Collapse Point of Interacting Trails in Two Dimensions from Kinetic Growth Simulations. J. Stat. Phys., 79, 951-967, 1995. doi: 10.1007/BF02181210. PDF.

  • T. Prellberg, A. Owczarek. Stacking Models of Vesicles and Compact Clusters. J. Stat. Phys., 80, 755-779, 1995. doi: 10.1007/BF02178553. PDF.

  • R. Brak, A. Owczarek. On the Analyticity Properties of Scaling Functions in Models of Polymer Collapse. J. Phys. A., 28, 4709-4725, 1995. doi: 10.1088/0305-4470/28/17/007. PDF.

  • D. Bennett-Wood, J. L. Cardy, S. Flesia, A. Guttmann, A. Owczarek. Oriented Self-Avoiding Walks with Orientation-Dependent Interactions. J. Phys. A., 28, 5143-5163, 1995. doi: 10.1088/0305-4470/28/18/007. PDF.

  • T. Prellberg, A. Owczarek. Partially Convex Lattice Vesicles: Methods and Recent Results. 204--214, Proceedings of the Conference 'Confronting the Infinite', World Scientific, 1995. PDF.

  • D. Bennett-Wood, R. Brak, A. Guttmann, A. Owczarek, T. Prellberg. Low Temperature Partition Function Scaling: Series Analysis Results. J. Phys. A., 27, L1-L8, 1994. doi: 10.1088/0305-4470/27/2/001. PDF.

  • T. Prellberg, A. Owczarek. Manhattan Lattice Theta-point Exponents from Kinetic Growth Walks and Exact Results from the Nienhuis O(N) Model. J. Phys. A., 27, 1811-1826, 1994. doi: 10.1088/0305-4470/27/6/009. PDF.

  • D. Bennett-Wood, A. Owczarek, T. Prellberg. Crossover in Smart Kinetic Growth Walks. Physica A., 206, 283-288, 1994. doi: 10.1016/0378-4371(94)90307-7. PDF.

  • A. Owczarek, T. Prellberg. Interacting Partially Directed Walks: A Model of Polymer Collapse.. Physica A, 205, 203-213, 1994. doi: 10.1016/0378-4371(94)90501-0. PDF.

  • R. Brak, A. Owczarek, T. Prellberg. Exact Scaling Behaviour of Partially Convex Vesicles. J. Stat. Phys., 76, 1101-1128, 1994. doi: 10.1007/BF02187057. PDF.

  • A. Owczarek, T. Prellberg, D. Bennett-Wood, A. Guttmann. Universal Distance Ratios for Interacting Two-dimensional Polymers. J. Phys. A, 27, L919-L925, 1994. doi: 10.1088/0305-4470/27/24/003. PDF.

  • A. Owczarek, T. Prellberg, R. Brak. New Scaling Form for the Collapsed Polymer Phase. Physical Review Letters, 70, 951-953, 1993. doi: 10.1103/PhysRevLett.70.951.

  • A. Owczarek, T. Prellberg, R. Brak. Exact Scaling Form for the Collapsed 2D Polymer Phase - Reply. Physical Review Letters, 71, 4275 (1pp), 1993. doi: 10.1103/PhysRevLett.71.4275.

  • P. M. Binder, D. Y. K. Ko, A. Owczarek, C. J. Twining. Ordered Cellular Automata In One-Dimension. J. Physique. I, 23, 21-28, 1993. doi: 10.1051/jp1:1993113. PDF.

  • A. Owczarek, T. Prellberg. Exact Solution of the Discrete (1+1)-Dimensional SOS Model with Field and Surface Interactions. J. Stat. Phys., 70, 1175-1194, 1993. doi: 10.1007/BF01049427. PDF.

  • A. Owczarek, T. Prellberg, R. Brak. A New Scaling Form for the Collapsed Polymer Phase. Phys. Rev. Lett., 70, 951--953, 1993. PDF.

  • A. Owczarek, T. Prellberg, R. Brak. Reply to Exact Scaling Form for the 2D Polymer Phase. Phys. Rev. Lett., 71, 4275, 1993. PDF.

  • A. Owczarek. Scaling in the Collapsed Polymer Phase: Exact Results. J. Phys. A., 26, L647-L653, 1993. doi: 10.1088/0305-4470/26/15/006. PDF.

  • T. Prellberg, A. Owczarek, R. Brak, A. Guttmann. Finite Length Scaling of Collapsing Directed Walks. Phys. Rev. E., 48, 2386-2396, 1993. doi: 10.1103/PhysRevE.48.2386. PDF.

  • A. Owczarek, T. Prellberg, R. Brak. The Tricritical Behaviour of Self-Interacting Partially Directed Walks. J. Stat. Phys., 72, 737-772, 1993. doi: 10.1007/BF01048031. PDF.

  • R. Brak, A. Owczarek, T. Prellberg. A Scaling Theory of Collapse Transitions. J. Phys. A., 26, 4565-4579, 1993. doi: 10.1088/0305-4470/26/18/022. PDF.

  • A. Guttmann, T. Prellberg, A. Owczarek. On the Symmetry Classes of Planar Self-Avoiding Walks. J. Phys. A., 26, 6615-6623, 1993. doi: 10.1088/0305-4470/26/23/012. PDF.

  • A. Owczarek, P. M. Binder, D. Y. K. Ko. Cutoff Scalings for One Dimensional Order. J. Phys. A, 25, L21-L24, 1992. doi: 10.1088/0305-4470/25/1/004. PDF.

  • J. O. Indekeu, A. Owczarek, M. R. Swift. Quasiwetting and Critical Point Leaps. Phys. Rev. Letts., 66, 2174 (1pp), 1991. doi: 10.1103/PhysRevLett.66.2174. PDF.

  • M. R. Swift, A. Owczarek, J. O. Indekeu. Effect of Confinement on Wetting and Drying between Opposing Boundaries. Euro. Phys. Letts., 14, 475-481, 1991. doi: 10.1209/0295-5075/14/5/015. PDF.

  • D. B. Abraham, A. Owczarek. Correlation Function for the Baxter Model. Phys. Rev. Lett., 64, 2595-2598, 1990. doi: 10.1103/PhysRevLett.64.2595. PDF.

  • P. M. Binder, A. Owczarek, A. R. Veal, J. M. Yeomans. Collapse Transition in a Simple Polymer Model: Exact Results. J. Phys. A, 23, L975-L979, 1990. doi: 10.1088/0305-4470/23/18/007. PDF.

  • A. Owczarek, R. J. Baxter. Surface Free Energy of the Critical Six Vertex Model with Free Boundaries. J. Phys. A, 22, 1141-1165, 1989. doi: 10.1088/0305-4470/22/8/027. PDF.

  • A. Owczarek, R. J. Baxter. Generalised Percolation Probabilities for the Self-Dual Potts Model. J. Phys. A, 20, 5263-5271, 1987. doi: 10.1088/0305-4470/20/15/038. PDF.

  • A. Owczarek, R. J. Baxter. A Class of Interaction-Round-a-Face Models and Its Equivalence with an Ice-Type Model. J. Stat. Phys., 49, 1093-1115, 1987. doi: 10.1007/BF01017562. PDF.