Stacking models of vesicles and compact clusters

DOI10.1007/BF02178553zbMath1106.82304MaRDI QIDQ2500055

Thomas Prellberg, Aleksander L. Owczarek

Publication date: 23 August 2006

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

zbMATH Keywords

stacksscalingFerrers diagramspolyominoesExact solutionpolygonsvesiclescluster models

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

The leading root of the partial theta function ⋮ On \(q\)-functional equations and excursion moments ⋮ Limit Distributions and Scaling Functions

Cites Work

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• Exact solution of the discrete \((1+1)\)-dimensional SOS model with field and surface interactions
• \(q\)-enumeration of convex polyominoes
• Combinatorial objects enumerated by \(q\)-Bessel functions
• Algebraic languages and polyominoes enumeration
• Exact scaling behavior of partially convex vesicles
• Critical exponents from nonlinear functional equations for partially directed cluster models
• Uniform q-series asymptotics for staircase polygons
• STACKS

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