Klientu atbalsts: 27018494

Grāmatu iegāde | Jauns profils | Ienākt

Nonequilibrium Statistical Physics: Linear Irreversible Processes [Hardback]

3.33/5 (6 ratings by Goodreads)

Noėlle Pottier (Professor of Physics, University Paris Diderot, `Matičre et Systčmes Complexes' (MSC) Laboratory)

Formāts: Hardback, 514 pages, height x width x depth: 252x177x30 mm, weight: 1141 g, 22 b/w line illustrations
Sērija : Oxford Graduate Texts
Izdošanas datums: 17-Sep-2009
Izdevniecība: Oxford University Press
ISBN-10: 0199556881
ISBN-13: 9780199556885

Citas grāmatas par šo tēmu:

Condensed matter physics (liquid state & solid state physics) - (Noliktavā: 1 punkts)
Thermodynamics & heat
Classical mechanics
Mathematical physics - (Noliktavā: 1 punkts)

Hardback
Cena: 117,14 €
Grāmatu piegādes laiks ir 3-4 nedēļas, ja grāmata ir uz vietas izdevniecības noliktavā. Ja izdevējam nepieciešams publicēt jaunu tirāžu, grāmatas piegāde var aizkavēties.
Daudzums:
- - 1
  - 2
  - 3
  - 4
  - 5
  - 6
  - 7
  - 8
  - 9
  - 10
Ielikt grozā
Piegādes laiks - 4-6 nedēļas
Pievienot vēlmju sarakstam

Formāts: Hardback, 514 pages, height x width x depth: 252x177x30 mm, weight: 1141 g, 22 b/w line illustrations
Sērija : Oxford Graduate Texts
Izdošanas datums: 17-Sep-2009
Izdevniecība: Oxford University Press
ISBN-10: 0199556881
ISBN-13: 9780199556885

Citas grāmatas par šo tēmu:

Condensed matter physics (liquid state & solid state physics) - (Noliktavā: 1 punkts)
Thermodynamics & heat
Classical mechanics
Mathematical physics - (Noliktavā: 1 punkts)

Permanent link: https://www.kriso.lv/db/9780199556885.html

Keywords:

Nonequilibrium statistical mechanics

While systems at equilibrium are treated in a unified manner through the partition function formalism, the statistical physics of out-of-equilibrium systems covers a large variety of situations that are often without apparent connection. This book proposes a unified perspective on the whole set of systems near equilibrium: it brings out the profound unity of the laws which govern them and gathers a large number of results usually fragmented in the literature. The reader will find in this book a pedagogical account of the fundamental results: physical origins of irreversibility, fluctuation-dissipation theorem, Boltzmann equation, linear response, Onsager relations, transport phenomena, Langevin and Fokker-Planck equations. The book's comprehensive organisation makes it valuable both as a textbook about irreversible phenomena and as a reference book for researchers.

Recenzijas

Its strength no doubt lies in showing how a large variety of subjects close to experimental interest are connected to a basis of fundamental statistical physics... This looks like an excellent book that is likely to keep its value when fashion changes. * Henk Hilhorst, Université de Paris-Sud * An extremely thorough, complete and well written reference on all well established aspects of non equilibrium statistical physics and corresponding linear irreversible processes. The book grew out of lectures given over many years at the graduate level in Paris, and is very pedagogical, providing cases and easily accessible knowledge in well written chapters. * Hubert Saleur, University of Southern California * The book is of high quality. It covers the important theoretical points and many interesting and important applications. * Robert Mazo, University of Oregon *

Random variables and random processes

(26)

Random variables, moments, and characteristic function

(2)

Multivariate distributions

(2)

Addition of random variables

(1)

Gaussian distributions

(2)

The central limit theorem

(3)

Random processes

(2)

Stationarity and ergodicity

(2)

Random processes in physics: the example of Brownian motion

(1)

Harmonic analysis of stationary random processes

(2)

The Wiener---Khintchine theorem

(8)

Appendix

An alternative derivation of the Wiener---Khintchine theorem

(2)

Bibliography

(1)

References

(2)

Linear thermodynamics of irreversible processes

(48)

A few reminders of equilibrium thermodynamics

(1)

Description of irreversible processes: affinities and fluxes

(3)

The local equilibrium hypothesis

(2)

Affinities and fluxes in a continuous medium in local equilibrium

(3)

Linear response

(1)

A few simple examples of transport coefficients

(4)

Curie's principle

(1)

The reciprocity relations

(2)

Justification of the reciprocity relations

(3)

The minimum entropy production theorem

(3)

Bibliography

(1)

References

(1)

Thermodynamic fluctuations

(1)

The fluctuations

(1)

Consequences of the maximum entropy principle

(1)

Probability of a fluctuation: the Einstein formula

(1)

Equilibrium fluctuations in a fluid of N molecules

(5)

Bibliography

(1)

References

(1)

Thermoelectric effects

(1)

Introduction

(1)

The entropy source

(1)

Isothermal electrical conduction

(1)

Open-circuit thermal conduction

(1)

The Seebeck effect

(1)

The Peltier effect

(2)

The Thomson effect

(1)

An illustration of the minimum entropy production theorem

(2)

Bibliography

(1)

Thermodiffusion in a fluid mixture

(1)

Introduction

(1)

Diffusive fluxes in a binary mixture

(1)

The entropy source

(1)

Linear relations between fluxes and affinities

(2)

The Soret and Dufour effects

(3)

Bibliography

(1)

References

(2)

Statistical description of out-of-equilibrium systems

(14)

The phase space distribution function

(4)

The density operator

(3)

Systems at equilibrium

(1)

Evolution of the macroscopic variables: classical case

(2)

Evolution of the macroscopic variables: quantum case

(3)

Bibliography

(1)

Classical systems: reduced distribution functions

(16)

Systems of classical particles with pair interactions

(1)

The Liouville equation

(2)

Reduced distribution functions: the BBGKY hierarchy

(3)

The Vlasov equation

(1)

Gauge invariance

(8)

Appendices

Pair interaction potentials

(1)

Hamilton's equations for a charged particle

100

(2)

Gauge invariance of the Liouville equation

102

(2)

Bibliography

104

(1)

The Boltzmann equation

105

(30)

Statistical description of dilute classical gases

106

(1)

Time and length scales

107

(1)

Notations and definitions

108

(1)

Evolution of the distribution function

109

(1)

Binary collisions

110

(3)

The Boltzmann equation

113

(3)

Irreversibility

116

(1)

The H-theorem

117

(3)

Equilibrium distributions

120

(1)

Global equilibrium

121

(2)

Local equilibrium

123

(3)

Bibliography

125

(1)

References

125

(1)

The Lorentz gas

126

(1)

Gas in the presence of fixed scattering centers

126

(1)

Time scales

126

(1)

Collisions with the fixed scatterers

127

(1)

Kinetic equation of the Lorentz gas

127

(4)

Bibliography

130

(1)

References

130

(1)

The irreversibility paradoxes

131

(1)

The paradoxes

131

(1)

The time-reversal paradox

131

(1)

The recurrence paradox

132

(1)

Bibliography

133

(2)

References

133

(2)

Transport coefficients

135

(24)

The relaxation time approximation

136

(2)

Linearization with respect to the external perturbations

138

(1)

Kinetic coefficients of a Lorentz gas

138

(4)

Electrical conductivity

142

(2)

Diffusion coefficient

144

(4)

Bibliography

147

(1)

References

147

(1)

Landau damping

148

(1)

Weakly coupled plasma

148

(1)

The Vlasov equations for a collisionless plasma

148

(3)

Conductivity and electrical permittivity of a collisionless plasma

151

(3)

Longitudinal waves in a Maxwellian plasma

154

(5)

Bibliography

157

(2)

Prom the Boltzmann equation to the hydrodynamic equations

159

(22)

The hydrodynamic regime

160

(1)

Local balance equations

161

(4)

The Chapman---Enskog expansion

165

(3)

The zeroth-order approximation

168

(1)

The first-order approximation

169

(12)

Appendices

A property of the collision integral

175

(1)

Newton's law and viscosity coefficient

176

(4)

Bibliography

180

(1)

The Bloch---Boltzmann theory of electronic transport

181

(38)

The Boltzmann equation for the electron gas

182

(2)

The Boltzmann equation's collision integral

184

(3)

Detailed balance

187

(1)

The linearized Boltzmann equation

188

(1)

Electrical conductivity

189

(3)

Semiclassical transport in the presence of a magnetic field

192

(6)

Validity limits of the Bloch---Boltzmann theory

198

(3)

Bibliography

200

(1)

References

200

(1)

Collision processes

201

(1)

Introduction

201

(1)

Electron---impurity scattering

201

(6)

Electron---phonon scattering

207

(5)

Bibliography

211

(1)

References

211

(1)

Thermoelectric coefficients

212

(1)

Particle and heat fluxes

212

(1)

General expression for the kinetic coefficients

213

(1)

Thermal conductivity

213

(2)

The Seebeck and Peltier coefficients

215

(4)

Bibliography

217

(2)

Master equations

219

(16)

Markov processes: the Chapman---Kolmogorov equation

220

(3)

Master equation for a Markovian random process

223

(3)

The Pauli master equation

226

(2)

The generalized master equation

228

(1)

From the generalized master equation to the Pauli master equation

229

(2)

Discussion

231

(4)

Bibliography

233

(1)

References

233

(2)

Brownian motion: the Langevin model

235

(42)

The Langevin model

236

(2)

Response and relaxation

238

(5)

Equilibrium velocity fluctuations

243

(4)

Harmonic analysis of the Langevin model

247

(2)

Time scales

249

(4)

Bibliography

251

(1)

References

251

(2)

The generalized Langevin model

253

(1)

The generalized Langevin equation

253

(2)

Complex admittance

255

(1)

Harmonic analysis of the generalized Langevin model

255

(2)

An analytical model

257

(3)

Bibliography

259

(1)

References

259

(1)

Brownian motion in a bath of oscillators

260

(1)

The Caldeira---Leggett model

260

(5)

Dynamics of the Ohmic free particle

265

(2)

The quantum Langevin equation

267

(3)

Bibliography

269

(1)

References

269

(1)

The Nyquist theorem

270

(1)

Thermal noise in an electrical circuit

270

(1)

The Nyquist theorem

270

(7)

Bibliography

275

(1)

References

275

(2)

Brownian motion: the Fokker-Planck equation

277

(24)

Evolution of the velocity distribution function

278

(1)

The Kramers---Moyal expansion

279

(3)

The Fokker---Planck equation

282

(3)

Brownian motion and Markov processes

285

(5)

Bibliography

288

(1)

References

288

(2)

Random walk

290

(1)

The drunken walker

290

(1)

Diffusion of a drunken walker on a lattice

291

(1)

The diffusion equation

292

(2)

Bibliography

293

(1)

References

293

(1)

Brownian motion: Gaussian processes

294

(1)

Harmonic analysis of stationary Gaussian processes

294

(1)

Gaussian Markov stationary processes

295

(2)

Application to Brownian motion

297

(4)

Bibliography

300

(1)

References

300

(1)

Linear responses and equilibrium correlations

301

(40)

Linear response functions

302

(1)

Generalized susceptibilities

303

(3)

The Kramers---Kronig relations

306

(1)

Dissipation

307

(1)

Non-uniform phenomena

308

(2)

Equilibrium correlation functions

310

(4)

Properties of the equilibrium autocorrelation functions

314

(8)

Appendix

An alternative derivation of the Kramers---Kronig relations

319

(2)

Bibliography

321

(1)

References

321

(1)

Linear response of a damped oscillator

322

(1)

General interest of the study

322

(1)

The undamped oscillator

322

(1)

Oscillator damped by viscous friction

323

(1)

Generalized susceptibility

324

(3)

The displacement response function

327

(2)

Bibliography

328

(1)

Electronic polarization

329

(1)

Semiclassical model

329

(1)

Polarization response function

330

(1)

Generalized susceptibility

331

(1)

Comparison with the Lorentz model

331

(4)

Bibliography

334

(1)

Some examples of dynamical structure factors

335

(1)

The examples

335

(1)

Free atom

335

(2)

Atom in a harmonic potential

337

(4)

Bibliography

340

(1)

General linear response theory

341

(48)

The object of linear response theory

342

(1)

First-order evolution of the density operator

342

(3)

The linear response function

345

(2)

Relation with the canonical correlation function

347

(1)

Generalized susceptibility

348

(2)

Spectral function

350

(2)

Relaxation

352

(5)

Symmetries of the response and correlation functions

357

(2)

Non-uniform phenomena

359

(9)

Appendices

Classical linear response

361

(2)

Static susceptibility of an isolated system and isothermal susceptibility

363

(4)

Bibliography

367

(1)

References

367

(1)

Dielectric relaxation

368

(1)

Dielectric permittivity and polarizability

368

(3)

Microscopic polarization mechanisms

371

(1)

The Debye theory of dielectric relaxation

371

(3)

A microscopic model of orientational polarization

374

(5)

Bibliography

378

(1)

References

378

(1)

Magnetic resonance

379

(1)

Formulation of the problem

379

(1)

Phenomenological theory

380

(3)

A microscopic model

383

(6)

Bibliography

388

(1)

The fluctuation-dissipation theorem

389

(30)

Dissipation

390

(3)

Equilibrium fluctuations

393

(2)

The fluctuation-dissipation theorem

395

(3)

Positivity of ω χ''AA(ω)

398

(1)

Static susceptibility

398

(2)

Sum rules

400

(4)

Bibliography

403

(1)

References

403

(1)

Dissipative dynamics of a harmonic oscillator

404

(1)

Oscillator coupled with a thermal bath

404

(1)

Dynamics of the uncoupled oscillator

404

(3)

Response functions and susceptibilities of the coupled oscillator

407

(2)

Analysis of χxx(ω)

409

(6)

Dynamics of the weakly coupled oscillator

415

(4)

Bibliography

417

(1)

References

417

(2)

Quantum theory of electronic transport

419

(28)

The Kubo---Nakano formula

420

(3)

The Kubo---Greenwood formula

423

(4)

Conductivity of an electron gas in the presence of impurities

427

(6)

Bibliography

431

(1)

References

431

(2)

Conductivity of a weakly disordered metal

433

(1)

Introduction

433

(1)

The Kubo---Greenwood formula

433

(3)

Conductivity of a macroscopic system

436

(2)

Conductance of a mesoscopic system: Landauer's approach

438

(2)

Addition of quantum resistances in series: localization

440

(7)

Bibliography

445

(1)

References

445

(2)

Thermal transport coefficients

447

(34)

The indirect Kubo method

448

(4)

The source of entropy and the equivalent `Hamiltonian'

452

(6)

Bibliography

457

(1)

References

457

(1)

Diffusive light waves

458

(1)

Diffusive light transport

458

(1)

Diffusion coefficient of light intensity

459

(3)

Diffusive wave spectroscopy

462

(6)

Bibliography

467

(1)

References

467

(1)

Light scattering by a fluid

468

(1)

Introduction

468

(1)

Linearized hydrodynamic equations

468

(2)

Transverse fluctuations

470

(2)

Longitudinal fluctuations

472

(6)

Dynamical structure factor

478

(3)

Bibliography

480

(1)

References

480

(1)

Index

481

Noėlle Pottier is Professor of Physics at Université Paris Diderot, `Matičre et Systčmes Complexes' (MSC) laboratory.

Nonequilibrium Statistical Physics: Linear Irreversible Processes [Hardback]

Recenzijas

Konts un iestatījumi

Meklēšana

Meklēt datubāzē

Refine By

Tēmas Grāmatas angļu valodā

Izvēlieties iepirkumu grozu