Statistical Physics Statics, Dynamics and Renormalization

ISBN-10: 9810237642
ISBN-13: 9789810237646
Edition: 2000
Authors: Leo P. Kadanoff
Buy it from $55.10
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: The material presented in this invaluable textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behavior. Thus, this book defines a progression  More...

New Starting from $55.13
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Careers in Legal Assisting Online content $4.95 $1.99
Add to cart
Study Briefs
Medical Terminology Online content $4.95 $1.99
Add to cart
Study Briefs
Medical Math Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

Copyright year: 2000
Publisher: World Scientific Publishing Co Pte Ltd
Binding: Paperback
Pages: 483
Size: 7.25" wide x 10.00" long x 1.00" tall
Weight: 2.244
Language: English

The material presented in this invaluable textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behavior. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research level. To supplement the research-level side the book includes some research papers. Several of these are classics in the field, including a suite of six works on self-organized criticality and complexity, a pair on diffusion-limited aggregation, some papers on correlations near critical points, a few of the basic sources on the development of the real-space renormalization group, and several papers on magnetic behavior in a plain geometry.

Introduction
Fundamentals of Statistical Physics
The Lectures--A Survey
The Journey: Many Different Approaches
The Main Sights
Is the Trip Worthwhile?
One Particle and Many
Formulation
The Ising Model
N Independent Particles--Quantum Description
Averages From Derivatives
N Independent Particles in a Box
Fluctuations Big and Small
The Problems of Statistical Physics
Gaussian Distributions
Introduction
One Variable
Many Gaussian Variables
Lattice Green Function
Gaussian Random Functions
Central Limit Theorem
Distribution of Energies
Large Deviations
On Almost Gaussian Integrals
Three Versions of Gaussian Problems
Quantum Mechanics and Lattices
All of Quantum Mechanics in One Brief Section
From d = 1 Models to Quantum Mechanics
An Example: The Linear Ising Chain
One-Dimensional Gaussian Model
Coherence Length
Operator Averages
Correlation Functions
Ising Correlations
Two-Dimensional Ising Model
Random Dynamics
Diffusion and Hopping
Random Walk on a Lattice
Formulating This Problem
The Diffusion of Probability and Particles
From Conservation to Hydrodynamic Equations
Distribution Functions
Cascade Processes and Securities Prices
Reprints on Dynamics
Forest and Witten: Smoke Particle Aggregates
Witten and Sander: Diffusion Limited Aggregation
Kadanoff: Chaos and Complexity
From Hops to Statistical Mechanics
Random Walk in Momentum
The Diffusion Equation Again
Time Dependence of Probability
Time Dependence in Deterministic Case
Equilibrium Solutions
Back to Collisions
From Fokker-Planck to Equilibrium
Properties of Fokker-Planck Equation
Reprints on Organization
Chao Tang et al.: Phase Organization
Bak et al.: Self-Organized Criticality
Carlson et al.: Singular Diffusion
Jaeger et al.: Experimental Studies
Correlations and Response
Time Independent Response
Hamiltonian Time-Dependence
Sum Rules
Non-Interacting Particles
Plasma Behavior
More Statistical Mechanics
Statistical Thermodynamics
The Chemical Potential Defined
Barometer Formula
Sharing Energy
Ensemble Theory
Temperatures and Energy Flow
Fermi, Bose, and Other
Quantum Formulation
Statistical Mechanics of Non-Interacting Degenerate Particles
The Non-Degenerate Limit
Degenerate Fermions
Degenerate Bosons I. Photons and Phonons
Degenerate Bosons II. One-Dimensional Phonons
Degenerate Bosons III. Bose Phase Transition
Entropies
Phase Transitions
Overview of Phase Transitions
Thermodynamic Phases
Phase Transitions
Two Kinds of Transitions
Back to the Ising Model
Mean Field Theory of Magnets
The Phases
Low Temperature Result
Free Energy Selection Argument
Behaviors of Different Phases
Mean Field Theory of Critical Behavior
The Infinite Range Model
Mean Field Theory Near the Critical Point
Critical Indices
Scaling Function for Magnetization
Spatial Correlations
Analyticity
Mean Field Theory for the Free Energy
When Mean Field Theory Fails
Continuous Phase Transitions
Historical Background
Widom Scaling Theory
The Ising Model: Rescaled
Fixed Points
Phenomenology of Scaling Fields
Theory of Scaling Fields
Scaling Relations for Operators
Transforming Operators
Universality
Operator Product Expansions
Reprints on Critical Correlations
Kadanoff: Correlations Along a Line
Kadanoff-Wegner: Marginal Behavior
Renormalization in One Dimension
Introduction
Decimation
The Ising Example
Phase Diagrams, Flow Diagrams, and the Coherence Length
The Gaussian Model
Analysis of Recursion Relation
Fixed Point Analysis for the Gaussian Model
Two-Dimensional Ising Model
Real Space Renormalization Techniques
Introduction
Decimation: An Exact Calculation
The Method of Neglect
Potential Moving
Further Work
Reprints on Real Space RG
Niemeijer and van Leeuwen: Triangular Lattice R.G.
David Nelson's Early Summary
Kadanoff: Bond-moving, and a Variational Method
Kadanoff: Migdal's Simple and Versatile Method
Migdal's Original Papers
Duality
Doing Sums
Two Dimensions
Direct Coupling and Dual Coupling
Two-Dimensional Calculation
Ising Model
XY is Connected to SOS
Gaussian goes into Gaussian
Dual Correlations
Planar Model and Coulomb Systems
Why Study a Planar Model?
One-Dimensional Case
Phases of the Planar Model
The Gaussian Approximation
Two-Dimensional Coulomb Systems
Multipole Expansion
Reprint on Spin Waves
V. L. Berezinskii: An Overview of Problems with Continuous Symmetry
XY Model, Renormalization, and Duality
Plan of Action
Villain Representation of the Basic Bonds
Duality Transformation
Two Limits
Vortex Representation
The Magnetically Charged System
Correlation Calculation
The Renormalization Calculation
Spatial Averages
The Actual Renormalization
Reprints on Planar Model
The Kosterlitz-Thouless Theory
Kosterlitz: On Renormalization of the Planar Model
Jorge V. Jose, Leo P. Kadanoff, Scott Kirkpatrick, David R. Nelson: Renormalization and Vortices
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×