
《场的统计物理学》是2010年4月1日世界图书出版公司出版的图书,作者是卡达(MehranKarda音取r)。
- 书名 场的统计物理学
- 作者 卡达(MehranKardar)
- ISBN 9787510005664
- 定价 59.00元
- 出版社 世界图书出版公司
内容简介
《场的统计物理学》主要内容包括:Introduction、The Landau-Ginzburg 求控价书见Hamiltonian、Saddle point approximation, and mean-field theory、Continuous symmetry breaking 来自and Goldstone modes、Discrete symmetry breaking and domain walls、Fluctuations、Scattering and fluct360百科uations、Correlation functions 某and susceptibilities、Lower critical dimension、Comparison to experiments、Gaussian integrals等等。
图书目录
Preface
1 Collective behavior, from particles to fields
1.1 Introduction
1.2 Phonons and ela这苏尽sticity
1.3 Phase transitions
1.4 Critical behavior
Problems
2 Statistical fields
2.1 Introduction
2.2 The Landau-Ginzburg Hamiltonian
2.3 Saddle 本且春弦的仅阳point approximation, and mean-field theory
2.4 Continuous symme减try breaking and 些杨规如灯或Goldstone m短审根抓转酒问odes
2.5 Discr哥尼准沉月脸罗ete symmetry breaking and domain walls
Problems
3 Fluctuations
3.1 Scattering and fluct跟家尽演蛋宗提宪孙立需uations
3.2 C落了早得电得施换持月宽orrelatio等方器原优首风田艺仅n function阻早培始深责波越冲大结s and susceptibilities
3.3 Lower critic否伟激飞子可县全找印下al dimension
3.师合长染木看4 Comparis行知on to experiments
3.5 Ga飞ussian integrals
价文直或脸张 3.6 Fluctuation corrections to the sad卫落安轴硫罗dle point
3.7 The Ginzburg criterion
Problems
4 The scaling hypothesis
4.1 The homogeneity assumption
4.2 Divergence of the correlation length
4.3 Critical correlation functions and self-similarity
4.4 The renormalization group (conceptual)
4.5 The renormalization group (formal)
4.6 The Gaussian model (direct solution)
4.7 The Gaussian model (renormalization group)
Problems
5 Perturbative renormalizafion group
5.1 Expectation values in the Gaussian model
5.2 Expectation values in perturbation theory
5.3 Diagrammatic representation of perturbation theory
5.4 Susceptibility
5.5 Perturbative RG (first order)
5.6 Perturbative RG (second order)
5.7 The e-expansion
5.8 Irrelevance of other interactions
5.9 Comments on the e-expansion
Problems
6 Lattice systems
6.1 Models and methods
6.2 Transfer matrices
6.3 Position space RG in one dimension
6.4 The Niemeijer-van Leeuwen cumulant approximation
6.5 The Migdal-Kadanoff bond moving approximation
6.6 Monte Carlo simulations
Problems
7 Series expansions
7.1 Low-temperature expansions
7.2 High-temperature expansions
7.3 Exact solution of the one-dimensional Ising model
7.4 Self-duality in the two-dimensional Ising model
7.5 Dual of the three-dimensional Ising model
7.6 Summing over phantom loops
7.7 Exact free energy of the square lattice Ising model
7.8 Critical behavior of the two-dimensional Ising model
Problems
8 Beyond spin waves
8.1 The nonlinear tr model
8.2 Topological defects in the XY model
8.3 Renormalization group for the Coulomb gas
8.4 Two-dimensional solids
8.5 Two-dimensional melting
Problems
9 Dissipative dynamics
9.1 Brownian motion of a particle
9.2 Equilibrium dynamics of a field
9.3 Dynamics of a conserved field
9.4 Generic scale invariance in equilibrium systems
9.5 Non-equilibrium dynamics of open systems
9.6 Dynamics of a growing surface
10 Directed paths in random media
10.1 Introduction
10.2 High-T expansions for the random-bond Ising model
10.3 The one-dimensional chain
10.4 Directed paths and the transfer matrix
10.5 Moments of the correlation function
10.6 The probability distribution in two dimensions
10.7 Higher dimensions
10.8 Random signs
10.9 Other realizations of DPRM
10.10 Quantum interference of strongly localized electrons
10.11 The locator expansion and forward scattering paths
10.12 Magnetic field response
10.13 Unitary propagation
10.14 Unitary averages
Solutions to selected problems
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Index
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