Home Newsletter
News Books
Welcome to FreeScience.info Language/Lingua

Books 3054
· Book News
· Most clicked
· Least clicked

Search for a Book
HELP US TO HELP YOU
Add a new Book

Statistical mechanics and dynamics of solvable models with long-range interactions

book
Language:
Author: A. Campa, T. Dauxois, S. Ruffo
Url: http://arxiv.org/abs/0907.0323
Format: Ps, Pdf
Year: 2009
Category: Statistical Mechanics
Pages: 118
Clicks: 2006

Description
The two-body potential of systems with long-range interactions decays at large distances as $V(r)\sim 1/r^\alpha$, with $\alpha\leq d$, where $d$ is the space dimension. Examples are: gravitational systems, two-dimensional hydrodynamics, two-dimensional elasticity, charged and dipolar systems. Although such systems can be made extensive, they are intrinsically non additive. Moreover, the space of accessible macroscopic thermodynamic parameters might be non convex. The violation of these two basic properties is at the origin of ensemble inequivalence, which implies that specific heat can be negative in the microcanonical ensemble and temperature jumps can appear at microcanonical first order phase transitions. The lack of convexity implies that ergodicity may be generically broken. We present here a comprehensive review of the recent advances on the statistical mechanics and out-of-equilibrium dynamics of systems with long-range interactions. The core of the review consists in the detailed presentation of the concept of ensemble inequivalence, as exemplified by the exact solution, in the microcanonical and canonical ensembles, of mean-field type models. Relaxation towards thermodynamic equilibrium can be extremely slow and quasi-stationary states may be present. The understanding of such unusual relaxation process is obtained by the introduction of an appropriate kinetic theory based on the Vlasov equation.

Similar Books
Meccanica statistica
Trattatello di Meccanica Statistica
Statistical Mechanics. A short treatise
Critical Phenomena: An Introduction from a modern perspective
Thermal and Statistical Physics
Aspects of the ergodic, qualitative,statistical theory of motion
Introduction to thermodynamics of spin models
Lecture Notes in Statistical Mechanics
Statistical mechanics II
Statistical Mechanics in a Nutshell
Statistical Physics
Statistical Mechanics: Entropy, Order Parameters, and Complexity
Exactly Solved Models in Statistical mechanics
Mecanique Statistique
Simulation numérique en physique statistique
Thermodynamics & Statistical Mechanics
Statistical Mechanics
The large deviation approach to statistical mechanics
Fluctuation-Dissipation: Response Theory in Statistical Physics
A Field Guide to Recent Work on the Foundations of Statistical Mechanics
Determination of phase diagrams via computer simulation: Methodology and applications to water, electrolytes and proteins
Spin Ice
Statistical Physics
Notes on the Statistical Mechanics of Systems with Long-Range Interactions
On the Statics and Dynamics of Magneto-Anisotropic Nanoparticles
Information Theory and Statistical Physics - Lecture Notes
Time-related issues in statistical mechanics
Introduction to the field theory of classical and quantum phase transitions
Physique statistique des processus irréversibles
Statistical mechanics
Statistical Physics
Statistica Mechanics
Percolation Theory
A basic introduction to large deviations: Theory, applications, simulations
Lecture Notes in Statistical Mechanics and Mesoscopics
Statistical Mechanics
Statistical Physics of Fracture, Friction and Earthquake
Universal scaling relations for logarithmic-correction exponents
Statistical Physics
Fluctuation-Dissipation: Response Theory in Statistical Physics
Lectures on Statistical Physics
Statistical Mechanifesto
Statistical Physics: a Short Course for Electrical Engineering Students
Fluctuation-Dissipation: Response Theory in Statistical Physics
Lecture Notes in Thermal Physics
Statistical Mechanics Entropy, Order Parameters, and Complexity
Modern Statistical Mechanics

Home |  Authors | About | Contact Us |  Email 
 Copyright © 2002-2013 FreeScience.info. 

Best viewed with Mozilla 1.X 1024x768
free scientific books