A scaling theory of the collapse transition in geometric cluster models of polymers and vesicles

DOI10.1088/0305-4470/26/18/022zbMath0808.60094OpenAlexW2034892484MaRDI QIDQ4317459

Richard Brak, Thomas Prellberg, Aleksander L. Owczarek

Publication date: 12 March 1995

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cb55aa6c66895be00ade7c9b7e0abba448a4c767

zbMATH Keywords

partition functionsinteracting self-avoiding walksanimal modelsgrand partition function

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (11)

Self-attractive random polymers. ⋮ The diffusive phase of a model of self-interacting walks ⋮ Exact scaling behavior of partially convex vesicles ⋮ Polymer collapse of a self-avoiding trail model on a two-dimensional inhomogeneous lattice ⋮ Critical behaviour of the extended-ballistic transition for pulled self-avoiding walks ⋮ Combinatorics and physics. Dedicated to the memory of Claude Itzykson. Papers from the Conference on Physics and Combinatorics held in Marseille, March 27--31, 1995 ⋮ The tricritical behavior of self-interacting partially directed walks ⋮ Critical exponents from nonlinear functional equations for partially directed cluster models ⋮ The collapse point of interacting trails in two dimensions from kinetic growth simulations ⋮ Random polymers ⋮ Limit Distributions and Scaling Functions

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