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The Statistical Mechanics of Lattice Gases Volume I 1st Edition by Barry Simon ISBN 1400863430 9781400863433

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The Statistical Mechanics of Lattice Gases Volume I Barry Simon Digital Instant Download

Author(s): Barry Simon
ISBN(s): 9781400863433, 1400863430
Edition: Course Book
File Details: PDF, 20.40 MB
Year: 2014
Language: english
SKU: EB-51944380 Category: Tag:

The Statistical Mechanics of Lattice Gases Volume I 1st Edition by Barry Simon – Ebook PDF Instant Download/Delivery: 1400863430, 9781400863433
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ISBN 10: 1400863430 
ISBN 13: 9781400863433
Author: Barry Simon

A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the two-dimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, Lee-Yang theorems, and correlation inequality. This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is 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.

The Statistical Mechanics of Lattice Gases Volume I 1st Table of contents:

chapter 1 – fundamentals of lattice models
definition of lattice gases
occupation numbers and site variables
nearest-neighbor interactions
boundary conditions

chapter 2 – ensembles and partition functions
microcanonical ensemble
canonical ensemble
grand canonical ensemble
calculation of partition functions

chapter 3 – ideal lattice gases
non-interacting particles
thermodynamic properties
comparison with continuum gases

chapter 4 – interacting lattice gases
pair interactions and potentials
mean-field approximations
correlation functions
phase behavior

chapter 5 – lattice gas thermodynamics
equations of state
energy, entropy, and free energy
response functions and susceptibilities

chapter 6 – phase transitions
order parameters
critical phenomena
universality and scaling
examples from lattice models

chapter 7 – exact solutions and approximations
one-dimensional lattice gases
Bethe ansatz and transfer matrix methods
high- and low-temperature expansions

chapter 8 – applications
magnetic systems and Ising models
fluids and adsorption
chemical reactions on lattices

chapter 9 – computational methods
Monte Carlo simulations
series expansions
numerical techniques and algorithms

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Tags: Barry Simon, Statistical Mechanics, Lattice Gases