The Yang-Yang thermodynamic formalism and large deviations

DOI10.1007/BF01219656zbMath0678.60105OpenAlexW1985758483MaRDI QIDQ1124228

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01219656

zbMATH Keywords

thermodynamic limitpartition functionasymptotic behaviourBethe Ansatzdelta-function interaction

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (8)

Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schrödinger model ⋮ Large deviations in weakly interacting fermions: Generating functions as Gaussian Berezin integrals and bounds on large Pfaffians ⋮ Thermodynamics of the spin-1/2 Heisenberg-Ising chain at high temperatures: a rigorous approach ⋮ A perturbed mean field model of an interacting Boson gas and the large deviation principle ⋮ Low-\(T\) asymptotic expansion of the solution to the Yang-Yang equation ⋮ Surface free energy of the open XXZ spin-1/2 chain ⋮ The Bogoliubov model of weakly imperfect Bose gas ⋮ The full diagonal model of a Bose gas

Cites Work

• Unnamed Item
• The large deviation principle and some models of an interacting boson gas
• Statistical mechanics of the nonlinear Schrödinger equation.
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Asymptotic probabilities and differential equations

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