Interacting Lattice Polygons

DOI10.1007/978-1-4020-9927-4_12zbMath1180.82238OpenAlexW1512639871MaRDI QIDQ3651688

Aleksander L. Owczarek, Stuart G. Whittington

Publication date: 11 December 2009

Published in: Polygons, Polyominoes and Polycubes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-9927-4_12

zbMATH Keywords

phase transitionpolymersself-avoiding walklattice polygonsmonomern

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Synergistic development of differential approximants and the finite lattice method in lattice statistics

Cites Work

• Crossover of a polymer chain from bulk to surface states
• Multiple Markov chain Monte Carlo study of adsorbing self-avoiding walks in two and in three dimensions
• Adsorption of uniform lattice animals with specified topology
• Adsorption and collapse of self-avoiding walks at a defect plane
• Interacting self-avoiding walks and polygons in three dimensions
• Adsorption and collapse of self-avoiding walks in three dimensions: A Monte Carlo study
• Adsorption and collapse of self-avoiding walks and polygons in three dimensions
• Simulations of grafted polymers in a good solvent
• Exact enumeration study of free energies of interacting polygons and walks in two dimensions
• Adsorption of self-avoiding walks at an impenetrable plane in the expanded phase: a Monte Carlo study
• Collapsing and adsorbing polygons
• FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE

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