Critical region for droplet formation in the two-dimensional Ising model

DOI10.1007/s00220-003-0946-xzbMath1041.82004arXivmath/0212300OpenAlexW2132235146MaRDI QIDQ1416945

Marek Biskup, Lincoln Chayes, Roman Kotecký

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212300

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Droplet minimizers for the Cahn-Hilliard free energy functional, Uphill diffusions in single and multi-species systems, Strict convexity of the free energy of the canonical ensemble under decay of correlations, Finite size effects and metastability in zero-range condensation, Zero-range condensation at criticality, Surface free energy of a finite system without interfaces at low temperatures, Formation of Facets for an Effective Model of Crystal Growth, Energy barrier and \(\Gamma\)-convergence in the \(d\)-dimensional Cahn-Hilliard equation, Large‐deviations/thermodynamic approach to percolation on the complete graph, Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model, Decay of correlations and uniqueness of the Infinite-Volume Gibbs measure of the Canonical ensemble of 1d-lattice systems

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