Non-equilibrium thermodynamics and physical kinetics:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2021]
|
| Edition: | 2nd edition |
| Series: | De Gruyter graduate
|
| Subjects: | |
| Online Access: | https://www.degruyter.com/books/9783110727067 Inhaltsverzeichnis |
| Physical Description: | XIII, 436 Seiten Illustrationen 24 cm x 17 cm |
| ISBN: | 3110727064 9783110727067 |
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| 100 | 1 | |a Bikkin, Chalid M. |e Verfasser |0 (DE-588)1050273656 |4 aut | |
| 245 | 1 | 0 | |a Non-equilibrium thermodynamics and physical kinetics |c Halid Bikkin, Igor I. Lyapilin |
| 250 | |a 2nd edition | ||
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2021] | |
| 300 | |a XIII, 436 Seiten |b Illustrationen |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter graduate | |
| 650 | 0 | 7 | |a Kinetische Theorie |0 (DE-588)4030669-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |2 gnd |9 rswk-swf |
| 653 | |a TB: Textbook | ||
| 689 | 0 | 0 | |a Nichtgleichgewichtsthermodynamik |0 (DE-588)4130850-5 |D s |
| 689 | 0 | 1 | |a Kinetische Theorie |0 (DE-588)4030669-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Ljapilin, Igorʹ I. |e Verfasser |0 (DE-588)1050273915 |4 aut | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-072719-7 |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-032801113 | ||
Record in the Search Index
| _version_ | 1804182659597860864 |
|---|---|
| adam_text | CONTENTS
AUTHORS
INTRODUCTION
----
V
1
1.1
1.1.1
PHENOMENOLOGICAL
THERMODYNAMICS
OF
IRREVERSIBLE
PROCESSES
----
1
MAIN
POSTULATES
OF
NON-EQUILIBRIUM
THERMODYNAMICS
----
1
THERMODYNAMIC
DESCRIPTION
OF
EQUILIBRIUM
AND
NON-EQUILIBRIUM
SYSTEMS
----
1
1.1.2
1.1.3
1.1.4
1.1.5
LOCAL
EQUILIBRIUM
PRINCIPLE
----
3
ENTROPY
BALANCE
EQUATION
AND
CONSERVATION
LAWS
----
4
GENERALIZED
FLOWS
AND
GENERALIZED
THERMODYNAMIC
FORCES
----
7
GENERALIZED
TRANSPORT
COEFFICIENTS
AND
THE
ONSAGER
SYMMETRY
RELATIONS
----
9
1.1.6
1.1.7
VARIATIONAL
PRINCIPLES
IN
LINEAR
NON-EQUILIBRIUM
THERMODYNAMICS
----
10
MINIMUM
ENTROPY
PRODUCTION
PRINCIPLE
FOR
WEAKLY
NON-EQUILIBRIUM
STEADY
STATES
----
12
1.2
1.2.1
ON
THE
APPLICATION
OF
THE
ONSAGER
THEORY
----
14
THERMOELECTRIC
PHENOMENA.
THE
PELTIER,
SEEBECK, THOMSON
EFFECTS
AND
THEIR
RELATIONSHIP
----
14
1.2.2
1.3
1.3.1
1.3.2
1.3.3
1.3.4
1.3.5
1.3.6
1.3.7
1.3.8
1.3.9
1.4
EFFECTS
IN
AN
EXTERNAL
MAGNETIC
FIELD
----
20
SELF-ORGANIZATION
IN
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
29
NON-EQUILIBRIUM
DISSIPATIVE
STRUCTURES
----
29
THE
GLANSDORFF-PRIGOGINE
UNIVERSAL
EVOLUTION
CRITERION
----
30
WAYS
OF
DESCRIBING
STRONGLY
NON-EQUILIBRIUM
SYSTEMS
----
32
STABILITY
OF
STATES
OF
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
35
THE
LYAPUNOV
GLOBAL
STABILITY
CRITERION
----
37
DYNAMICAL
SYSTEMS
WITH
ONE
DEGREE
OF
FREEDOM
----
39
DYNAMICAL
SYSTEMS
WITH
TWO
DEGREES
FREEDOM
----
41
DYNAMIC
CHAOS
----
47
DYNAMIC
CHAOS
IN
ONE-DIMENSIONAL
MAPPINGS
----
52
PROBLEMS
TO
CHAPTER
1
----
58
2
2.1
2.1.1
2.1.2
2.2
2.2.1
2.2.2
2.3
BROWNIAN
MOTION
----
61
THE
LANGEVIN
EQUATION
FORA
BROWNIAN
PARTICLE
----
61
NATURE
OF
MOTION
OF
A
BROWNIAN
PARTICLE.
RANDOM
FORCES
----
61
DISPLACEMENT
OF
A
BROWNIAN
PARTICLE
-----66
THE
FOKKER-PLANCK
EQUATION
FOR
A
BROWNIAN
PARTICLE
----
69
DERIVATION
OF
THE
FOKKER-PLANCK
EQUATION
-----69
THE
SOLUTION
OF
THE
FOKKER-PLANCK
EQUATION
----
71
PROBLEMS
TO
CHAPTER
2
----
75
3
KINETIC
EQUATIONS
IN
NON-EQUILIBRIUM
STATISTICAL
MECHANICS
----
77
X
-
CONTENTS
3.1
DESCRIPTION
OF
NON-EQUILIBRIUM
SYSTEMS
IN
STATISTICAL
MECHANICS
----
77
3.1.1
INTEGRABLE
AND
NONINTEGRABLE
DYNAMICAL
SYSTEMS
----
77
3.1.2
THE
EVOLUTION
OF
DYNAMICAL
SYSTEMS
IN
PHASE
SPACE
----
79
3.2
SUBSTANTIATION
OF
QUASICLASSICAL
KINETIC
EQUATIONS
----
86
3.2.1
THE
LIOUVILLE
EQUATION
FOR
THE
DISTRIBUTION
FUNCTION
---
86
3.2.2
THE
CHAIN
OF
THE
BOGOLIUBOV
EQUATIONS
----
87
3.2.3
EQUATION
FOR
THE
ONE-PARTICLE
DISTRIBUTION.
THE
RELAXATION
TIME
APPROXIMATION
----
91
3.2.4
THE
VLASOV
KINETIC
EQUATION
FOR
A
COLLISIONLESS
PLASMA
-----93
3.2.5
THE
BOLTZMANN
EQUATION
FOR
A
LOW-DENSITY
GAS
----
100
3.2.6
QUALITATIVE
DERIVATION
OF
THE
BOLTZMANN
EQUATION
----
101
3.2.7
DERIVATION
OF
THE
BOLTZMANN
EQUATION
FROM
THE
BOGOLIUBOV
EQUATIONS
CHAIN
----
107
3.2.8
THE
FOKKER-PLANCK
EQUATION
-----
111
3.3
SOLVING
FOR
KINETIC
EQUATIONS
------
115
3.3.1
THE
SOLUTION
OF
THE
BOLTZMANN
EQUATION
FOR
THE
EQUILIBRIUM
STATE
----
115
3.3.2
THE
BOLTZMANN
H-THEOREM
-----
117
3.3.3
THE
HILBERT
EXPANSION
----
119
3.3.4
THE
ENSKOG-CHAPMAN
METHOD.
DERIVATION
OF
HYDRODYNAMIC
EQUATIONS
----
125
3.3.5
THE
METHOD
OF
MOMENTS
----
130
3.4
PROBLEMS
TO
CHAPTER
3
----
132
4
KINETIC
EQUATION
FOR
ELECTRONS
AND
PHONONS
IN
CONDUCTING
CRYSTALS
-
135
4.1
KINETIC
COEFFICIENTS
IN
THE
RELAXATION
TIME
APPROXIMATION
----
135
4.1.1
KINETIC
EQUATION
FOR
ELECTRONS
AND
ITS
SOLUTION
TO
THE
RELAXATION
TIME
APPROXIMATION
----
135
4.1.2
CONDITIONSOF
APPLICABILITY
FOR
THE
QUASI-CLASSICAL
DESCRIPTION
OF
ELECTRONS
IN
CONDUCTING
CRYSTALS
----
140
4.1.3
HOW
TO
DETERMINE
CHARGE
AND
HEAT
FLUXES
AND
CALCULATE
KINETIC
COEFFICIENTS
WHEN
H
=
0
----
143
4.1.4
SCATTERING
OF
ELECTRONS
BY
LATTICE
VIBRATIONS
----
154
4.1.5
THE
HAMILTONIAN
OF
INTERACTION
BETWEEN
ELECTRONS
AND
CHARGED
IMPURITY
CENTERS
----
157
4.1.6
THE
COLLISION
INTEGRAL
FOR
THE
ELECTRON-PHONON
INTERACTION
----
160
4.1.7
PHENOMENON
OF
PHONON
DRAG
----
165
4.1.8
EXPRESSIONS
FOR
CHARGE
AND
HEAT
FLUXES
IN
A
MAGNETIC
FIELD.
TENSOR
STRUCTURE
OF
KINETIC
COEFFICIENTS
----
169
4.1.9
GALVANOMAGNETIC
AND
THERMOMAGNETIC
EFFECTS
IN
SEMICONDUCTORS
WITH
A
PARABOLIC
DISPERSION
LAW
----
171
4.2
HYDRODYNAMIC
DESCRIPTION
OF
A
HOT
ELECTRONS
----
177
4.2.1
TRANSITION
TO
A
HYDRODYNAMIC
DESCRIPTION
----
177
CONTENTS
-
XI
4.2.2
THE
MOMENTUM
BALANCE
EQUATION
----
180
4.2.3
BALANCE
EQUATIONS
OF
ENERGY
AND
PARTICLE
NUMBER
----
185
4.2.4
SOLVING
A
SET
OF
BALANCE
EQUATIONS.
APPLICATIONS
OF
HYDRODYNAMIC
APPROACH
----
188
4.2.5
NEGATIVE
DIFFERENTIAL
RESISTANCE
----
190
4.3
PROBLEMS
TO
CHAPTER
4
-----
194
5
THEORY
OF
LINEAR
RESPONSE
TO
AN
EXTERNAL
MECHANICAL
PERTURBATION
-
197
5.1
ELECTRICAL
CONDUCTIVITY
OF
AN
ELECTRON
GAS.
THE
KUBO
METHOD
----
197
5.1.1
THE
LIOUVILLE
EQUATION
AND
ITS
SOLUTION
----
197
5.1.2
LINEAR
RESPONSE
OF
A
DYNAMICAL
SYSTEM
TO
AN
EXTERNAL
FIELD
----
201
5.1.3
CALCULATION
OF
ELECTRICAL
CONDUCTIVITY
----
206
5.1.4
HIGH-FREQUENCY
MAGNETIC
SUSCEPTIBILITY
----
216
5.2
ELECTRICAL
CONDUCTIVITY
IN
A
QUANTIZING
MAGNETIC
FIELD
----
223
5.2.1
CHARGE
AND
HEAT
FLUXES
IN
A
QUANTIZING
MAGNETIC
FIELD
----
223
5.2.2
DYNAMICS
OF
ELECTRON
MOTION
IN
A
QUANTIZING
MAGNETIC
FIELD
----
225
5.2.3
THE
CONDUCTIVITY
TENSOR
IN
A
QUANTIZING
MAGNETIC
FIELD
----
228
5.2.4
THE
CONDUCTIVITY
IN
THE
CASE
QUASI-ELASTIC
SCATTERING
BY
PHONONS
----
230
5.3
SYMMETRY
PROPERTIES
OF
CORRELATION
FUNCTIONS
----
237
5.3.1
ADDITIVE
CONSERVATION
LAWS
AND
SELECTION
RULES
FOR
AVERAGES
----
237
5.3.2
SYMMETRY
PROPERTIES
OF
CORRELATION
FUNCTIONS
FOR
OPERATIONS
OF
SPATIAL
ROTATION,
COMPLEX
CONJUGATION
AND
TIME
REVERSAL
-------
240
5.4
PROBLEMS
TO
CHAPTERS
----
245
6
NON-EQUILIBRIUM
STATISTICAL
OPERATOR
METHOD
----
249
6.1
NON-EQUILIBRIUM
AND
QUASI-EQUILIBRIUM
STATISTICAL
OPERATORS
----
249
6.1.1
QUASI-EQUILIBRIUM
DISTRIBUTION
----
249
6.1.2
EXTREMAL
PROPERTIES
OF
A
QUASI-EQUILIBRIUM
DISTRIBUTION.
THERMODYNAMICS
OF
A
QUASI-EQUILIBRIUM
ENSEMBLE
----
252
6.1.3
BOUNDARY
CONDITIONS
AND
THE
LIOUVILLE
EQUATION
FOR
THE
NSO
----
259
6.1.4
LINEAR
RELAXATION
EQUATIONS
IN
THE
NSO-METHOD
----
262
6.2
THE
PROJECTION
OPERATORS
METHOD
IN
NON-EQUILIBRIUM
STATISTICAL
MECHANICS
-----
268
6.2.1
WHY
IS
IT
NECESSARY
TO
INTRODUCE
PROJECTION
OPERATORS?
----
268
6.2.2
THE
MORI
PROJECTION
OPERATOR
METHOD
----
272
6.2.3
USING
THE
MORI
PROJECTION
OPERATORS
TO
CALCULATE
CONDUCTIVITY
----
279
6.2.4
RELATIONSHIP
BETWEEN
A
LINEAR
VARIANT
OF
THE
NSO-METHOD
AND
MORI
S
METHOD
----
286
6.2.5
HIGH-FREQUENCY
SUSCEPTIBILITY
----
290
6.2.6
DETERMINATION
OF
NON-EQUILIBRIUM
PARAMETERS
BY
THE
NSO-METHOD
----
292
XII
-
CONTENTS
6.3
HYDRODYNAMIC
MODES
AND
SINGULARITY
OF
DYNAMIC
CORRELATION
FUNCTIONS
-----
298
6.3.1
SPIN
DIFFUSION
----
298
6.3.2
THE
FLUCTUATION-DISSIPATION
THEOREM
----
302
6.3.3
LONG-RANGE
CORRELATIONS
AND
SLOW
MODES
----
307
6.3.4
BOGOLIUBOV
INEQUALITY
AND
1/K
2
DIVERGENCE
THEOREM
----
312
6.4
PROBLEMS
TO
CHAPTER
6
----
318
7
PHYSICAL
PRINCIPLES
OF
SPINTRONICS
----
321
7.1
SPIN
CURRENT
----
321
7.1.1
NATUREOFSPIN
CURRENT
EMERGENCE
----
321
7.1.2
KINETIC
EQUATION
IN
THE
RELAXATION
TIME
APPROXIMATION
FOR
THE
TWO-CHANNEL
MOTT
MODEL
----
324
7.2
MAGNETORESISTANCE
AND
SPIN
ACCUMULATION
IN
LAYERED
STRUCTURES
----
327
7.2.1
GIANT
MAGNETORESISTANCE
----
327
7.2.2
SPIN
ACCUMULATION
----
337
7.2.3
SPIN-INDUCED
VOLTAGE
DETECTION
-----
340
7.2.4
USING
THE
HANLE
EFFECT
TO
DETECT
SPIN
ACCUMULATION
----
341
7.2.5
COORDINATE-DEPENDENCE
OF
ELECTROCHEMICAL
POTENTIALS
IN
AN
F/N
STRUCTURE
----
343
7.3
THE
SPIN
HALL
EFFECT
-----
349
7.3.1
PHENOMENOLOGICAL
CONSIDERATION
-----
349
7.3.2
SPIN-ORBIT
INTERACTION
MECHANISMS
-----
352
7.3.3
THE
MICROSCOPIC
NATURE
OF
SPIN
TRANSPORT
----
356
7.3.4
A
QUALITATIVE
EXPLANATION
OF
THE
INTRINSIC
SPIN
HALL
EFFECT
FOR
SYSTEMS
WITH
THE
RASHBA
HAMILTONIAN
----
358
7.3.5
THE
BERRY
PHASE.
BASIC
DEFINITIONS
----
365
7.3.6
THE
BERRY
PHASE
FOR
BLOCH
ELECTRONS
----
369
7.3.7
DYNAMICS
OF
BLOCH
ELECTRONS
IN
AN
ELECTRIC
FIELD
----
372
7.3.8
THE
BERRY
CURVATURE
AND
THE
SPIN
HALL
EFFECT
----
373
7.3.9
PHYSICAL
PRINCIPLES
OF
OPERATION
OF
SPINTRONICS
DEVICES
----
375
7.4
PROBLEMS
TO
THE
CHAPTER
7
----
378
8
RESPONSE
OF
A
HIGHLY
NON-EQUILIBRIUM
SYSTEM
TO
A
WEAK
MEASURING
FIELD
----
381
8.1
NSO
FOR
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
381
8.1.1
SET
UP
OF
THE
PROBLEM.
A
BOUNDARY
CONDITION
FOR
THE
NSO----
381
8.1.2
GENERALIZED
SUSCEPTIBILITY
OF
A
NON-EQUILIBRIUM
SYSTEM
----
387
8.2
PROJECTION
OPERATOR
FOR
NON-EQUILIBRIUM
SYSTEMS
----
392
8.2.1
MAGNETIC
SUSCEPTIBILITY
--
392
8.2.2
ELECTRICAL
CONDUCTIVITY
OF
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
394
8.3
PROBLEMS
TO
CHAPTER
8
-----
411
CONTENTS
-
XIII
9
MASTER
EQUATION
APPROACH
---
413
9.1
THE
BASIC
IDEA
OF
THE
METHOD
-----
413
9.1.1
PROBLEM
STATEMENT
-
413
9.1.2
THE
ZWANZIG
KINETIC
EQUATION
----
414
9.2
MASTER
EQUATION
FOR
THE
QUASI-EQUILIBRIUM
DISTRIBUTION
----
417
9.2.1
ROBERTSON
PROJECTION
OPERATOR
----
417
9.2.2
USE
OF
THE
MASTER
EQUATION
TO
CALCULATE
KINETIC
COEFFICIENTS
----
420
9.3
PROBLEMS
TO
CHAPTER
9
----
426
BIBLIOGRAPHY
----
429
INDEX
----
431
|
| adam_txt |
CONTENTS
AUTHORS
'
INTRODUCTION
----
V
1
1.1
1.1.1
PHENOMENOLOGICAL
THERMODYNAMICS
OF
IRREVERSIBLE
PROCESSES
----
1
MAIN
POSTULATES
OF
NON-EQUILIBRIUM
THERMODYNAMICS
----
1
THERMODYNAMIC
DESCRIPTION
OF
EQUILIBRIUM
AND
NON-EQUILIBRIUM
SYSTEMS
----
1
1.1.2
1.1.3
1.1.4
1.1.5
LOCAL
EQUILIBRIUM
PRINCIPLE
----
3
ENTROPY
BALANCE
EQUATION
AND
CONSERVATION
LAWS
----
4
GENERALIZED
FLOWS
AND
GENERALIZED
THERMODYNAMIC
FORCES
----
7
GENERALIZED
TRANSPORT
COEFFICIENTS
AND
THE
ONSAGER
SYMMETRY
RELATIONS
----
9
1.1.6
1.1.7
VARIATIONAL
PRINCIPLES
IN
LINEAR
NON-EQUILIBRIUM
THERMODYNAMICS
----
10
MINIMUM
ENTROPY
PRODUCTION
PRINCIPLE
FOR
WEAKLY
NON-EQUILIBRIUM
STEADY
STATES
----
12
1.2
1.2.1
ON
THE
APPLICATION
OF
THE
ONSAGER
THEORY
----
14
THERMOELECTRIC
PHENOMENA.
THE
PELTIER,
SEEBECK, THOMSON
EFFECTS
AND
THEIR
RELATIONSHIP
----
14
1.2.2
1.3
1.3.1
1.3.2
1.3.3
1.3.4
1.3.5
1.3.6
1.3.7
1.3.8
1.3.9
1.4
EFFECTS
IN
AN
EXTERNAL
MAGNETIC
FIELD
----
20
SELF-ORGANIZATION
IN
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
29
NON-EQUILIBRIUM
DISSIPATIVE
STRUCTURES
----
29
THE
GLANSDORFF-PRIGOGINE
UNIVERSAL
EVOLUTION
CRITERION
----
30
WAYS
OF
DESCRIBING
STRONGLY
NON-EQUILIBRIUM
SYSTEMS
----
32
STABILITY
OF
STATES
OF
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
35
THE
LYAPUNOV
GLOBAL
STABILITY
CRITERION
----
37
DYNAMICAL
SYSTEMS
WITH
ONE
DEGREE
OF
FREEDOM
----
39
DYNAMICAL
SYSTEMS
WITH
TWO
DEGREES
FREEDOM
----
41
DYNAMIC
CHAOS
----
47
DYNAMIC
CHAOS
IN
ONE-DIMENSIONAL
MAPPINGS
----
52
PROBLEMS
TO
CHAPTER
1
----
58
2
2.1
2.1.1
2.1.2
2.2
2.2.1
2.2.2
2.3
BROWNIAN
MOTION
----
61
THE
LANGEVIN
EQUATION
FORA
BROWNIAN
PARTICLE
----
61
NATURE
OF
MOTION
OF
A
BROWNIAN
PARTICLE.
RANDOM
FORCES
----
61
DISPLACEMENT
OF
A
BROWNIAN
PARTICLE
-----66
THE
FOKKER-PLANCK
EQUATION
FOR
A
BROWNIAN
PARTICLE
----
69
DERIVATION
OF
THE
FOKKER-PLANCK
EQUATION
-----69
THE
SOLUTION
OF
THE
FOKKER-PLANCK
EQUATION
----
71
PROBLEMS
TO
CHAPTER
2
----
75
3
KINETIC
EQUATIONS
IN
NON-EQUILIBRIUM
STATISTICAL
MECHANICS
----
77
X
-
CONTENTS
3.1
DESCRIPTION
OF
NON-EQUILIBRIUM
SYSTEMS
IN
STATISTICAL
MECHANICS
----
77
3.1.1
INTEGRABLE
AND
NONINTEGRABLE
DYNAMICAL
SYSTEMS
----
77
3.1.2
THE
EVOLUTION
OF
DYNAMICAL
SYSTEMS
IN
PHASE
SPACE
----
79
3.2
SUBSTANTIATION
OF
QUASICLASSICAL
KINETIC
EQUATIONS
----
86
3.2.1
THE
LIOUVILLE
EQUATION
FOR
THE
DISTRIBUTION
FUNCTION
---
86
3.2.2
THE
CHAIN
OF
THE
BOGOLIUBOV
EQUATIONS
----
87
3.2.3
EQUATION
FOR
THE
ONE-PARTICLE
DISTRIBUTION.
THE
RELAXATION
TIME
APPROXIMATION
----
91
3.2.4
THE
VLASOV
KINETIC
EQUATION
FOR
A
COLLISIONLESS
PLASMA
-----93
3.2.5
THE
BOLTZMANN
EQUATION
FOR
A
LOW-DENSITY
GAS
----
100
3.2.6
QUALITATIVE
DERIVATION
OF
THE
BOLTZMANN
EQUATION
----
101
3.2.7
DERIVATION
OF
THE
BOLTZMANN
EQUATION
FROM
THE
BOGOLIUBOV
EQUATIONS
CHAIN
----
107
3.2.8
THE
FOKKER-PLANCK
EQUATION
-----
111
3.3
SOLVING
FOR
KINETIC
EQUATIONS
------
115
3.3.1
THE
SOLUTION
OF
THE
BOLTZMANN
EQUATION
FOR
THE
EQUILIBRIUM
STATE
----
115
3.3.2
THE
BOLTZMANN
H-THEOREM
-----
117
3.3.3
THE
HILBERT
EXPANSION
----
119
3.3.4
THE
ENSKOG-CHAPMAN
METHOD.
DERIVATION
OF
HYDRODYNAMIC
EQUATIONS
----
125
3.3.5
THE
METHOD
OF
MOMENTS
----
130
3.4
PROBLEMS
TO
CHAPTER
3
----
132
4
KINETIC
EQUATION
FOR
ELECTRONS
AND
PHONONS
IN
CONDUCTING
CRYSTALS
-
135
4.1
KINETIC
COEFFICIENTS
IN
THE
RELAXATION
TIME
APPROXIMATION
----
135
4.1.1
KINETIC
EQUATION
FOR
ELECTRONS
AND
ITS
SOLUTION
TO
THE
RELAXATION
TIME
APPROXIMATION
----
135
4.1.2
CONDITIONSOF
APPLICABILITY
FOR
THE
QUASI-CLASSICAL
DESCRIPTION
OF
ELECTRONS
IN
CONDUCTING
CRYSTALS
----
140
4.1.3
HOW
TO
DETERMINE
CHARGE
AND
HEAT
FLUXES
AND
CALCULATE
KINETIC
COEFFICIENTS
WHEN
H
=
0
----
143
4.1.4
SCATTERING
OF
ELECTRONS
BY
LATTICE
VIBRATIONS
----
154
4.1.5
THE
HAMILTONIAN
OF
INTERACTION
BETWEEN
ELECTRONS
AND
CHARGED
IMPURITY
CENTERS
----
157
4.1.6
THE
COLLISION
INTEGRAL
FOR
THE
ELECTRON-PHONON
INTERACTION
----
160
4.1.7
PHENOMENON
OF
PHONON
DRAG
----
165
4.1.8
EXPRESSIONS
FOR
CHARGE
AND
HEAT
FLUXES
IN
A
MAGNETIC
FIELD.
TENSOR
STRUCTURE
OF
KINETIC
COEFFICIENTS
----
169
4.1.9
GALVANOMAGNETIC
AND
THERMOMAGNETIC
EFFECTS
IN
SEMICONDUCTORS
WITH
A
PARABOLIC
DISPERSION
LAW
----
171
4.2
HYDRODYNAMIC
DESCRIPTION
OF
A
HOT
ELECTRONS
----
177
4.2.1
TRANSITION
TO
A
HYDRODYNAMIC
DESCRIPTION
----
177
CONTENTS
-
XI
4.2.2
THE
MOMENTUM
BALANCE
EQUATION
----
180
4.2.3
BALANCE
EQUATIONS
OF
ENERGY
AND
PARTICLE
NUMBER
----
185
4.2.4
SOLVING
A
SET
OF
BALANCE
EQUATIONS.
APPLICATIONS
OF
HYDRODYNAMIC
APPROACH
----
188
4.2.5
NEGATIVE
DIFFERENTIAL
RESISTANCE
----
190
4.3
PROBLEMS
TO
CHAPTER
4
-----
194
5
THEORY
OF
LINEAR
RESPONSE
TO
AN
EXTERNAL
MECHANICAL
PERTURBATION
-
197
5.1
ELECTRICAL
CONDUCTIVITY
OF
AN
ELECTRON
GAS.
THE
KUBO
METHOD
----
197
5.1.1
THE
LIOUVILLE
EQUATION
AND
ITS
SOLUTION
----
197
5.1.2
LINEAR
RESPONSE
OF
A
DYNAMICAL
SYSTEM
TO
AN
EXTERNAL
FIELD
----
201
5.1.3
CALCULATION
OF
ELECTRICAL
CONDUCTIVITY
----
206
5.1.4
HIGH-FREQUENCY
MAGNETIC
SUSCEPTIBILITY
----
216
5.2
ELECTRICAL
CONDUCTIVITY
IN
A
QUANTIZING
MAGNETIC
FIELD
----
223
5.2.1
CHARGE
AND
HEAT
FLUXES
IN
A
QUANTIZING
MAGNETIC
FIELD
----
223
5.2.2
DYNAMICS
OF
ELECTRON
MOTION
IN
A
QUANTIZING
MAGNETIC
FIELD
----
225
5.2.3
THE
CONDUCTIVITY
TENSOR
IN
A
QUANTIZING
MAGNETIC
FIELD
----
228
5.2.4
THE
CONDUCTIVITY
IN
THE
CASE
QUASI-ELASTIC
SCATTERING
BY
PHONONS
----
230
5.3
SYMMETRY
PROPERTIES
OF
CORRELATION
FUNCTIONS
----
237
5.3.1
ADDITIVE
CONSERVATION
LAWS
AND
SELECTION
RULES
FOR
AVERAGES
----
237
5.3.2
SYMMETRY
PROPERTIES
OF
CORRELATION
FUNCTIONS
FOR
OPERATIONS
OF
SPATIAL
ROTATION,
COMPLEX
CONJUGATION
AND
TIME
REVERSAL
-------
240
5.4
PROBLEMS
TO
CHAPTERS
----
245
6
NON-EQUILIBRIUM
STATISTICAL
OPERATOR
METHOD
----
249
6.1
NON-EQUILIBRIUM
AND
QUASI-EQUILIBRIUM
STATISTICAL
OPERATORS
----
249
6.1.1
QUASI-EQUILIBRIUM
DISTRIBUTION
----
249
6.1.2
EXTREMAL
PROPERTIES
OF
A
QUASI-EQUILIBRIUM
DISTRIBUTION.
THERMODYNAMICS
OF
A
QUASI-EQUILIBRIUM
ENSEMBLE
----
252
6.1.3
BOUNDARY
CONDITIONS
AND
THE
LIOUVILLE
EQUATION
FOR
THE
NSO
----
259
6.1.4
LINEAR
RELAXATION
EQUATIONS
IN
THE
NSO-METHOD
----
262
6.2
THE
PROJECTION
OPERATORS
METHOD
IN
NON-EQUILIBRIUM
STATISTICAL
MECHANICS
-----
268
6.2.1
WHY
IS
IT
NECESSARY
TO
INTRODUCE
PROJECTION
OPERATORS?
----
268
6.2.2
THE
MORI
PROJECTION
OPERATOR
METHOD
----
272
6.2.3
USING
THE
MORI
PROJECTION
OPERATORS
TO
CALCULATE
CONDUCTIVITY
----
279
6.2.4
RELATIONSHIP
BETWEEN
A
LINEAR
VARIANT
OF
THE
NSO-METHOD
AND
MORI
'
S
METHOD
----
286
6.2.5
HIGH-FREQUENCY
SUSCEPTIBILITY
----
290
6.2.6
DETERMINATION
OF
NON-EQUILIBRIUM
PARAMETERS
BY
THE
NSO-METHOD
----
292
XII
-
CONTENTS
6.3
HYDRODYNAMIC
MODES
AND
SINGULARITY
OF
DYNAMIC
CORRELATION
FUNCTIONS
-----
298
6.3.1
SPIN
DIFFUSION
----
298
6.3.2
THE
FLUCTUATION-DISSIPATION
THEOREM
----
302
6.3.3
LONG-RANGE
CORRELATIONS
AND
SLOW
MODES
----
307
6.3.4
BOGOLIUBOV
INEQUALITY
AND
1/K
2
DIVERGENCE
THEOREM
----
312
6.4
PROBLEMS
TO
CHAPTER
6
----
318
7
PHYSICAL
PRINCIPLES
OF
SPINTRONICS
----
321
7.1
SPIN
CURRENT
----
321
7.1.1
NATUREOFSPIN
CURRENT
EMERGENCE
----
321
7.1.2
KINETIC
EQUATION
IN
THE
RELAXATION
TIME
APPROXIMATION
FOR
THE
TWO-CHANNEL
MOTT
MODEL
----
324
7.2
MAGNETORESISTANCE
AND
SPIN
ACCUMULATION
IN
LAYERED
STRUCTURES
----
327
7.2.1
GIANT
MAGNETORESISTANCE
----
327
7.2.2
SPIN
ACCUMULATION
----
337
7.2.3
SPIN-INDUCED
VOLTAGE
DETECTION
-----
340
7.2.4
USING
THE
HANLE
EFFECT
TO
DETECT
SPIN
ACCUMULATION
----
341
7.2.5
COORDINATE-DEPENDENCE
OF
ELECTROCHEMICAL
POTENTIALS
IN
AN
F/N
STRUCTURE
----
343
7.3
THE
SPIN
HALL
EFFECT
-----
349
7.3.1
PHENOMENOLOGICAL
CONSIDERATION
-----
349
7.3.2
SPIN-ORBIT
INTERACTION
MECHANISMS
-----
352
7.3.3
THE
MICROSCOPIC
NATURE
OF
SPIN
TRANSPORT
----
356
7.3.4
A
QUALITATIVE
EXPLANATION
OF
THE
INTRINSIC
SPIN
HALL
EFFECT
FOR
SYSTEMS
WITH
THE
RASHBA
HAMILTONIAN
----
358
7.3.5
THE
BERRY
PHASE.
BASIC
DEFINITIONS
----
365
7.3.6
THE
BERRY
PHASE
FOR
BLOCH
ELECTRONS
----
369
7.3.7
DYNAMICS
OF
BLOCH
ELECTRONS
IN
AN
ELECTRIC
FIELD
----
372
7.3.8
THE
BERRY
CURVATURE
AND
THE
SPIN
HALL
EFFECT
----
373
7.3.9
PHYSICAL
PRINCIPLES
OF
OPERATION
OF
SPINTRONICS
DEVICES
----
375
7.4
PROBLEMS
TO
THE
CHAPTER
7
----
378
8
RESPONSE
OF
A
HIGHLY
NON-EQUILIBRIUM
SYSTEM
TO
A
WEAK
MEASURING
FIELD
----
381
8.1
NSO
FOR
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
381
8.1.1
SET
UP
OF
THE
PROBLEM.
A
BOUNDARY
CONDITION
FOR
THE
NSO----
381
8.1.2
GENERALIZED
SUSCEPTIBILITY
OF
A
NON-EQUILIBRIUM
SYSTEM
----
387
8.2
PROJECTION
OPERATOR
FOR
NON-EQUILIBRIUM
SYSTEMS
----
392
8.2.1
MAGNETIC
SUSCEPTIBILITY
--
392
8.2.2
ELECTRICAL
CONDUCTIVITY
OF
HIGHLY
NON-EQUILIBRIUM
SYSTEMS
----
394
8.3
PROBLEMS
TO
CHAPTER
8
-----
411
CONTENTS
-
XIII
9
MASTER
EQUATION
APPROACH
---
413
9.1
THE
BASIC
IDEA
OF
THE
METHOD
-----
413
9.1.1
PROBLEM
STATEMENT
-
413
9.1.2
THE
ZWANZIG
KINETIC
EQUATION
----
414
9.2
MASTER
EQUATION
FOR
THE
QUASI-EQUILIBRIUM
DISTRIBUTION
----
417
9.2.1
ROBERTSON
PROJECTION
OPERATOR
----
417
9.2.2
USE
OF
THE
MASTER
EQUATION
TO
CALCULATE
KINETIC
COEFFICIENTS
----
420
9.3
PROBLEMS
TO
CHAPTER
9
----
426
BIBLIOGRAPHY
----
429
INDEX
----
431 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Bikkin, Chalid M. Ljapilin, Igorʹ I. |
| author_GND | (DE-588)1050273656 (DE-588)1050273915 |
| author_facet | Bikkin, Chalid M. Ljapilin, Igorʹ I. |
| author_role | aut aut |
| author_sort | Bikkin, Chalid M. |
| author_variant | c m b cm cmb i i l ii iil |
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| bvnumber | BV047399975 |
| classification_rvk | VN 7350 |
| ctrlnum | (OCoLC)1264265719 (DE-599)DNB1231562544 |
| discipline | Chemie / Pharmazie |
| discipline_str_mv | Chemie / Pharmazie |
| edition | 2nd edition |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-03T17:52:12Z |
| indexdate | 2024-07-10T09:11:04Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 3110727064 9783110727067 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032801113 |
| oclc_num | 1264265719 |
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| owner | DE-29T DE-83 |
| owner_facet | DE-29T DE-83 |
| physical | XIII, 436 Seiten Illustrationen 24 cm x 17 cm |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter graduate |
| spelling | Bikkin, Chalid M. Verfasser (DE-588)1050273656 aut Non-equilibrium thermodynamics and physical kinetics Halid Bikkin, Igor I. Lyapilin 2nd edition Berlin ; Boston De Gruyter [2021] XIII, 436 Seiten Illustrationen 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd rswk-swf TB: Textbook Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 s Kinetische Theorie (DE-588)4030669-0 s DE-604 Ljapilin, Igorʹ I. Verfasser (DE-588)1050273915 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-072719-7 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-072738-8 X:MVB https://www.degruyter.com/books/9783110727067 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032801113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bikkin, Chalid M. Ljapilin, Igorʹ I. Non-equilibrium thermodynamics and physical kinetics Kinetische Theorie (DE-588)4030669-0 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| subject_GND | (DE-588)4030669-0 (DE-588)4130850-5 |
| title | Non-equilibrium thermodynamics and physical kinetics |
| title_auth | Non-equilibrium thermodynamics and physical kinetics |
| title_exact_search | Non-equilibrium thermodynamics and physical kinetics |
| title_exact_search_txtP | Non-equilibrium thermodynamics and physical kinetics |
| title_full | Non-equilibrium thermodynamics and physical kinetics Halid Bikkin, Igor I. Lyapilin |
| title_fullStr | Non-equilibrium thermodynamics and physical kinetics Halid Bikkin, Igor I. Lyapilin |
| title_full_unstemmed | Non-equilibrium thermodynamics and physical kinetics Halid Bikkin, Igor I. Lyapilin |
| title_short | Non-equilibrium thermodynamics and physical kinetics |
| title_sort | non equilibrium thermodynamics and physical kinetics |
| topic | Kinetische Theorie (DE-588)4030669-0 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| topic_facet | Kinetische Theorie Nichtgleichgewichtsthermodynamik |
| url | https://www.degruyter.com/books/9783110727067 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032801113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bikkinchalidm nonequilibriumthermodynamicsandphysicalkinetics AT ljapilinigorʹi nonequilibriumthermodynamicsandphysicalkinetics AT walterdegruytergmbhcokg nonequilibriumthermodynamicsandphysicalkinetics |