The Pressure, Densities and First-order Phase Transitions Associated with Multidimensional SOFT

DOI10.1007/978-3-0348-0142-3_11zbMath1251.82026arXiv0906.5176OpenAlexW1847975508MaRDI QIDQ2911824

Uri N. Peled, Shmuel Friedland

Publication date: 3 September 2012

Published in: Notions of Positivity and the Geometry of Polynomials (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.5176

zbMATH Keywords

transfer matrixentropy densityfirst-order phase transitionmonomer-dimer modelmultidimensional subshifts of finite type

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Entropy and other invariants (28D20) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Asymptotic enumeration (05A16) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (3)

Positivity of the virial coefficients in lattice dimer models and upper bounds on the number of matchings on graphs ⋮ Monomer-dimer problem on random planar honeycomb lattice ⋮ On the validations of the asymptotic matching conjectures

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