Exact scaling behavior of partially convex vesicles

DOI10.1007/BF02187057zbMath0839.60099MaRDI QIDQ1906381

Richard Brak, Aleksander L. Owczarek, Thomas Prellberg

Publication date: 28 May 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

exact solutionscalingvesiclesstaircase polygonscolumn-convex polygons

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (8)

Exact solution of pulled, directed vesicles with sticky walls in two dimensions ⋮ Short and long ranged adsorption of directed paths ⋮ Critical exponents from nonlinear functional equations for partially directed cluster models ⋮ Stacking models of vesicles and compact clusters ⋮ Exact solutions of lattice polymer models ⋮ Exactly Solved Models ⋮ Some combinatorial interpretations of \(q\)-analogs of Schröder numbers ⋮ Adsorbing staircase walks and staircase polygons

Cites Work

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• Exact solution of the discrete \((1+1)\)-dimensional SOS model with field and surface interactions
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• Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules
• Exact solution of the row-convex polygon perimeter generating function
• Exact solution of the staircase and row-convex polygon perimeter and area generating function
• A collapse transition in a directed walk model
• On the number of certain lattice polygons
• A scaling theory of the collapse transition in geometric cluster models of polymers and vesicles
• Droplet singularity

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