# 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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## 7,169 Citations

### Exactly Solvable Models in Statistical Mechanics

- Physics
- 1988

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

- PhysicsSTOC 2000
- 2000

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.

- Computer Science
- 2010

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)

- PhysicsSTOC '00
- 2000

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

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2021

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

- Physics
- 2011

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

- Mathematics
- 1988

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…

### Statistical mechanics methods and phase transitions in optimization problems

- Computer Science, PhysicsTheor. Comput. Sci.
- 2001

### Introduction to the Statistical Physics of Integrable Many-body Systems

- Physics
- 2013

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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These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.

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This is a paperback edition of a distinguished book, originally published by Clarendon Press in 1971. It was then the first text on critical phenomena, a field that has enjoyed great activity for the…

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THE English translation of the second volume of the valuable work of MM. Mascart and Joubert is a welcome addition to the class, none too large, of really substantial English books on electricity. We…

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