Exact solution of the discrete \((1+1)\)-dimensional SOS model with field and surface interactions

DOI10.1007/BF01049427zbMath1081.82542OpenAlexW2104529109MaRDI QIDQ1280421

Thomas Prellberg, Aleksander L. Owczarek

Publication date: 1993

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

Full work available at URL: https://doi.org/10.1007/bf01049427

zbMATH Keywords

exact solution\(q\)-serieswetting transitiondirected walkSOS model

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Critical phenomena in equilibrium statistical mechanics (82B27) Applications of basic hypergeometric functions (33D90)

Related Items

Unnamed Item, ANISOTROPIC STEP, SURFACE CONTACT, AND AREA WEIGHTED DIRECTED WALKS ON THE TRIANGULAR LATTICE, Exact scaling behavior of partially convex vesicles, Counting corners in compositions and set partitions presented as bargraphs, Impulse parameter and a new equivalence between 123- and 132-avoiding permutations, Unnamed Item, Chimneys in compositions and bargraphs, Unnamed Item, Unnamed Item, The site-perimeter of bargraphs, Exact solution of pulled, directed vesicles with sticky walls in two dimensions, The height and width of bargraphs, The Perimeter of 2-Compositions, Semi-perimeter and inner site-perimeter of k-ary words and bargraphs, Counting water cells in bargraphs of compositions and set partitions, Circular bargraphs, Bargraphs in bargraphs, Skew Dyck paths, area, and superdiagonal bargraphs, The tricritical behavior of self-interacting partially directed walks, Critical exponents from nonlinear functional equations for partially directed cluster models, Stacking models of vesicles and compact clusters, Length enumeration of fully commutative elements in finite and affine Coxeter groups, Exact solutions of lattice polymer models, t-bargraphs and t-compositions, Enumerations of bargraphs with respect to corner statistics, Solvability of Some Statistical Mechanical Systems, \(Q\)-grammars and wall polyominoes, Adsorbing staircase walks and staircase polygons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Walks, walls, wetting, and melting
• Difference equations in statistical mechanics. II: Solid-on-solid models in two dimensions.
• Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules
• A collapse transition in a directed walk model
• Correlation function for the Baxter model