Exactly solved models in statistical mechanics

@inproceedings{Baxter1982ExactlySM,
  title={Exactly solved models in statistical mechanics},
  author={Rodney J. Baxter},
  year={1982}
}
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Exactly Solvable Models in Statistical Mechanics

Recent studies on exactly solvable models in statistical mechanics are reviewed. A brief summary of the quantum inverse scattering method is given to emphasize the soliton theoretic aspect of the

Statistical Mechanics, Three-Dimensionality and NP-Completeness: I. Universality of Intractability of the Partition Functions of the Ising Model Across Non-Planar Lattices

This work provides an exact characterization, across crystal lattices, of the computational tractability frontier for the partition functions of several Ising models. Our results show that beyond

Statistical mechanics of spin models on graphs.

The aim is the development of an efficient and accurate message-passing algorithm for the study of non-equilibrium models, analogous to the belief-propagation algorithm for equilibrium models, through the analysis of some simple models.

Statistical mechanics, three-dimensionality and NP-completeness: I. Universality of intracatability for the partition function of the Ising model across non-planar surfaces (extended abstract)

This work provides an exact characterization, across crystal lattices, of the computational tractability frontier for the partition functions of several Ising models. Our results show that beyond

Rule 54: exactly solvable model of nonequilibrium statistical mechanics

We review recent results on an exactly solvable model of nonequilibrium statistical mechanics, specifically the classical rule 54 reversible cellular automaton and some of its quantum extensions. We

Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport

This work provides detailed mathematical analyses of a one-dimensional continuous-time lattice gas, the totally asymmetric exclusion process, regarded as a paradigmatic model for NESM, much like the role the Ising model played for equilibrium statistical mechanics.

Knots, links, braids and exactly solvable models in statistical mechanics

We present a general method to construct the sequence of new link polynomials and its two variable extension from exactly solvable models in statistical mechanics. First, we find representations of

Introduction to the Statistical Physics of Integrable Many-body Systems

Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of
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