Statistical Physics: Volume 1 of Modern Classical Physics

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· 제목 : Statistical Physics: Volume 1 of Modern Classical Physics (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 과학 > 물리학 > 일반
· ISBN : 9780691206127
· 쪽수 : 408쪽
· 출판일 : 2021-06-15

3.5.1 Newtonian Density, Pressure, Energy Density, and Equation of State
3.5.2 Equations of State for a Nonrelativistic Hydrogen Gas
3.5.3 Relativistic Density, Pressure, Energy Density, and Equation of State
3.5.4 Equation of State for a Relativistic Degenerate Hydrogen Gas
3.5.5 Equation of State for Radiation

3.6 Evolution of the Distribution Function: Liouville’s Theorem, the Collisionless Boltzmann Equation, and the Boltzmann Transport Equation
3.7 Transport Coefficients

3.7.1 Diffusive Heat Conduction inside a Star
3.7.2 Order-of-Magnitude Analysis
3.7.3 Analysis Using the Boltzmann Transport Equation

Bibliographic Note

4 Statistical Mechanics

4.1 Overview
4.2 Systems, Ensembles, and Distribution Functions

4.2.1 Systems
4.2.2 Ensembles
4.2.3 Distribution Function

4.3 Liouville’s Theorem and the Evolution of the Distribution Function
4.4 Statistical Equilibrium

4.4.1 Canonical Ensemble and Distribution
4.4.2 General Equilibrium Ensemble and Distribution; Gibbs Ensemble Grand Canonical Ensemble
4.4.3 Fermi-Dirac and Bose-Einstein Distributions
4.4.4 Equipartition Theorem for Quadratic, Classical Degrees of Freedom

4.5 The Microcanonical Ensemble
4.6 The Ergodic Hypothesis
4.7 Entropy and Evolution toward Statistical Equilibrium

4.7.1 Entropy and the Second Law of Thermodynamics
4.7.2 What Causes the Entropy to Increase?

4.8 Entropy per Particle
4.9 Bose-Einstein Condensate
4.10 Statistical Mechanics in the Presence of Gravity

4.10.1 Galaxies
4.10.2 Black Holes
4.10.3 The Universe
4.10.4 Structure Formation in the Expanding Universe: Violent Relaxation and Phase Mixing

4.11 Entropy and Information

4.11.1 Information Gained When Measuring the State of a System in a Microcanonical Ensemble
4.11.2 Information in Communication Theory
4.11.3 Examples of Information Content
4.11.4 Some Properties of Information
4.11.5 Capacity of Communication Channels; Erasing Information from Computer Memories

Bibliographic Note

5 Statistical Thermodynamics

5.1 Overview
5.2 Microcanonical Ensemble and the Energy Representation of Thermodynamics

5.2.1 Extensive and Intensive Variables; Fundamental Potential
5.2.2 Energy as a Fundamental Potential
5.2.3 Intensive Variables Identified Using Measuring Devices First Law of Thermodynamics
5.2.4 Euler’s Equation and Form of the Fundamental Potential
5.2.5 Everything Deducible from First Law; Maxwell Relations
5.2.6 Representations of Thermodynamics

5.3 Grand Canonical Ensemble and the Grand-Potential Representation of Thermodynamics

5.3.1 The Grand-Potential Representation, and Computation of Thermodynamic Properties as a Grand Canonical Sum
5.3.2 Nonrelativistic van der Waals Gas

5.4 Canonical Ensemble and the Physical-Free-Energy Representation of Thermodynamics

5.4.1 Experimental Meaning of Physical Free Energy
5.4.2 Ideal Gas with Internal Degrees of Freedom

5.5 Gibbs Ensemble and Representation of Thermodynamics; Phase Transitions and Chemical Reactions

5.5.1 Out-of-Equilibrium Ensembles and Their Fundamental Thermodynamic Potentials and Minimum Principles
5.5.2 Phase Transitions
5.5.3 Chemical Reactions

5.6 Fluctuations away from Statistical Equilibrium
5.7 Van der Waals Gas: Volume Fluctuations and Gas-to-Liquid Phase Transition
5.8 Magnetic Materials

5.8.1 Paramagnetism; The Curie Law
5.8.2 Ferromagnetism: The Ising Model
5.8.3 Renormalization Group Methods for the Ising Model
5.8.4 Monte Carlo Methods for the Ising Model

Bibliographic Note

6 Random Processes

6.1 Overview
6.2 Fundamental Concepts

6.2.1 Random Variables and Random Processes
6.2.2 Probability Distributions
6.2.3 Ergodic Hypothesis

6.3 Markov Processes and Gaussian Processes

6.3.1 Markov Processes; Random Walk
6.3.2 Gaussian Processes and the Central Limit Theorem; Random Walk
6.3.3 Doob’s Theorem for Gaussian-Markov Processes, and Brownian Motion

6.4 Correlation Functions and Spectral Densities

6.4.1 Correlation Functions; Proof of Doob’s Theorem
6.4.2 Spectral Densities
6.4.3 Physical Meaning of Spectral Density, Light Spectra, and Noise in a Gravitational Wave Detector
6.4.4 The Wiener-Khintchine Theorem; Cosmological Density Fluctuations

6.5 2-Dimensional Random Processes

6.5.1 Cross Correlation and Correlation Matrix
6.5.2 Spectral Densities and the Wiener-Khintchine Theorem

6.6 Noise and Its Types of Spectra

6.6.1 Shot Noise, Flicker Noise, and Random-Walk Noise; Cesium Atomic Clock
6.6.2 Information Missing from Spectral Density

6.7 Filtering Random Processes

6.7.1 Filters, Their Kernels, and the Filtered Spectral Density
6.7.2 Brownian Motion and Random Walks
6.7.3 Extracting a Weak Signal from Noise: Band-Pass Filter, Wiener’s Optimal Filter Signal-to-Noise Ratio, and Allan Variance of Clock Noise
6.7.4 Shot Noise

6.8 Fluctuation-Dissipation Theorem

6.8.1 Elementary Version of the Fluctuation-Dissipation Theorem; Langevin Equation Johnson Noise in a Resistor, and Relaxation Time for Brownian Motion
6.8.2 Generalized Fluctuation-Dissipation Theorem; Thermal Noise in a Laser Beam’s Measurement of Mirror Motions; Standard Quantum Limit for Measurement Accuracy and How to Evade It

6.9 Fokker-Planck Equation

6.9.1 Fokker-Planck for a 1-Dimensional Markov Process
6.9.2 Optical Molasses: Doppler Cooling of Atoms
6.9.3 Fokker-Planck for a Multidimensional Markov Process; Thermal Noise in an Oscillator

Bibliographic Note

References
Name Index
Subject Index
Contents of the Unified Work, Modern Classical Physics
Preface to Modern Classical Physics
Acknowledgments for Modern Classical Physics

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킵 손 (지은이) 정보 더보기

미국의 이론물리학자. 1962년 캘리포니아공과대학교를 졸업하고 1965년 프린스턴대학교에서 박사학위를 받았다. 1967년부터 캘리포니아공과대학교에서 조교수로 일했고 현재 캘리포니아 공과대학 이론물리학 명예교수로 있다. 연구 분야는 아인슈타인의 일반상대성 이론과 천체물리학이며 특히 블랙홀, 중력파를 다룬다. 중력파 검출기를 건설하는 LIGO 프로젝트를 이끌었으며 2016년 2월 중력파의 존재를 탐지해 ‘제2의 노벨상’이라 불리는 카블리상 Kavli Prize을 받았다. 지난 2014년에는 SF영화 <인터스텔라>의 과학자문위원 겸 총괄제작자로 참여하기도 했다. 2017년 노벨 물리학상을 공동 수상했다. 저서로는 1973년에 쓴 《Gravitation》(공저)가 지금까지 과학도들에게 일반상대성이론의 교과서로 사랑받고 있으며, 이 외에《인터스텔라의 과학》, 《시공간의 미래》(공저) 등이 있다. 2017년 노벨물리학상을 수상했다.

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