Understanding non-equilibrium thermodynamics: foundations, applications, frontiers
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | XIII, 325 S. Ill., graph. Darst. |
| ISBN: | 9783540742517 |
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| 100 | 1 | |a Lebon, Georgy |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Understanding non-equilibrium thermodynamics |b foundations, applications, frontiers |c G. Lebon ; D. Jou ; J. Casas-Vázquez |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a XIII, 325 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Nonequilibrium thermodynamics | |
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| 700 | 1 | |a Jou, David |d 1953- |e Verfasser |0 (DE-588)129374679 |4 aut | |
| 700 | 1 | |a Casas-Vázquez, José |d 1938- |e Verfasser |0 (DE-588)134136551 |4 aut | |
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Record in the Search Index
| _version_ | 1804137608598519808 |
|---|---|
| adam_text | Contents
Equilibrium Thermodynamics: A Review
................. 1
1.1
The Early History
...................................... 1
1.2
Scope and Definitions
................................... 3
1.3
The Fundamental Laws
................................. 5
1.3.1
The Zeroth Law
.................................. 5
1.3.2
The First Law or Energy Balance
.................. 6
1.3.3
The Second Law
................................. 8
1.3.4
The Third Law
.................................. 14
1.4
Gibbs Equation
........................................ 14
1.4.1
Fundamental Relations and State Equations
......... 15
1.4.2
Euler s Relation
.................................. 16
1.4.3
Gibbs-Duhem s Relation
.......................... 16
1.4.4
Some Definitions
................................. 17
1.4.5
The Basic Problem of Equilibrium Thermodynamics
.. 18
1.5
Legendre Transformations and Thermodynamic Potentials
... 19
1.5.1
Thermodynamic Potentials
........................ 20
1.5.2
Thermodynamic Potentials and
Extrémům
Principles
. 21
1.6
Stability of Equilibrium States
........................... 24
1.6.1
Stability of Single Component Systems
.............. 24
1.6.2
Stability Conditions for the Other Thermodynamic
Potentials
....................................... 27
1.6.3
Stability Criterion of Multi-Component Mixtures
..... 27
1.7
Equilibrium Chemical Thermodynamics
................... 29
1.7.1
General Equilibrium Conditions
.................... 30
1.7.2
Heat of Reaction and van t
Hoff
Relation
............ 31
1.7.3
Stability of Chemical Equilibrium and
Le Chatelier s
Principle
........................................ 32
1.8
Final Comments
........................................ 34
1.9
Problems
.............................................. 34
IX
Contents
Classical
Irreversible
Thermodynamics
................... 37
2.1 Basic
Concepts
......................................... 38
2.2
Local Equilibrium Hypothesis
............................ 39
2.3
Entropy Balance
....................................... 41
2.4
General Theory
........................................ 44
2.5
Stationary States
....................................... 50
2.5.1
Minimum Entropy Production Principle
............. 51
2.6
Applications to Heat Conduction, Mass Transport,
and Fluid Flows
........................................ 54
2.6.1
Heat Conduction in a Rigid Body
.................. 54
2.6.2
Matter Diffusion Under Isothermal and Isobaric
Conditions
...................................... 59
2.6.3
Hydrodynamics
.................................. 60
2.7
Limitations of the Classical Theory of Irreversible
Thermodynamics
....................................... 63
2.8
Problems
.............................................. 65
Coupled Transport Phenomena
........................... 69
3.1
Electrical Conduction
................................... 70
3.2
Thermoelectric Effects
.................................. 72
3.2.1
Phenomenological Laws
........................... 72
3.2.2
Efficiency of Thermoelectric Generators
............. 76
3.3
Thermodiffusion:
Coupling of Heat and Mass Transport
..... 79
3.4
Diffusion Through a Membrane
.......................... 83
3.4.1
Entropy Production
.............................. 83
3.4.2
Phenomenological Relations
....................... 85
3.5
Problems
.............................................. 87
Chemical Reactions and Molecular Machines
............. 91
4.1
One Single Chemical Reaction
........................... 92
4.2
Coupled Chemical Reactions
............................. 96
4.2.1
General Formalism
............................... 96
4.2.2
Cyclical Chemical Reactions and Onsager s
Reciprocal Relations
.............................. 97
4.3
Efficiency of Energy Transfer
.............................100
4.4
Chemical Reactions and Mass Transport:
Molecular Machines
.....................................102
4.5
Autocatalytic Reactions and Diffusion: Morphogenesis
......108
4.6
Problems
..............................................109
Finite-Time Thermodynamics
............................113
5.1
The Finite-Time Carnot Cycle
...........................114
5.1.1
Curzon-
Ahlborn s Model: Heat Losses
..............115
5.1.2
Friction Losses
...................................120
5.2
Economical and Ecological Constraints
....................122
Contents
ут
5.3
Earth s Atmosphere as a Non-Equilibrium System
and a Heat Engine
......................................125
5.3.1
Earth s Energy Balance
...........................125
5.3.2
Global Warming
.................................126
5.3.3
Transformation of Solar Heat into Wind Motion
......128
5.4
Problems
..............................................130
6
Instabilities and Pattern Formation
.......................135
6.1
The Linear Theory of Stability
...........................137
6.2
Non-Linear Approaches
.................................138
6.3
Thermal Convection
....................................143
6.3.1
The
Rayleigh-Bénarďs
Instability: A Linear Theory
. . 145
6.3.2
The
Rayleigh-Bénarďs
Instability:
A Non-Linear Theory
.............................152
6.3.3
Bénard-Marangoni s
Surface Tension-Driven
Instability
.......................................154
6.4
Taylor s Instability
.....................................158
6.5
Chemical Instabilities
...................................162
6.5.1
Temporal Organization in Spatially Homogeneous
Systems
.........................................163
6.5.2
Spatial Organization in Spatially Heterogeneous
Systems
.........................................167
6.5.3
Spatio-Temporal
Patterns in Heterogeneous Systems:
Turing Structures
................................167
6.6
Miscellaneous Examples of Pattern Formation
..............169
6.6.1
Salt Fingers
.....................................169
6.6.2
Patterns in Electricity
............................171
6.6.3
Dendritic Pattern Formation
.......................172
6.7
Problems
..............................................174
7
Extended Irreversible Thermodynamics
...................179
7.1
Heat Conduction
.......................................181
7.1.1
Fourier s vs. Cattaneo s Law
.......................181
7.1.2
Extended Entropy
................................189
7.1.3
Non-Local
Terms: From Collision-Dominated Regime
to Ballistic Regime
...............................191
7.1.4
Application to Steady Heat Transport
in Nano-Systems
.................................195
7.2
One-Component Viscous Heat Conducting Fluids
...........196
7.3
Rheological Fluids
......................................
200
7.4
Microelectronic Devices
.................................202
7.5
Final Comments and Perspectives
........................205
7.6
Problems
..............................................
209
XII Contents
8
Theories with Internal Variables
..........................215
8.1
General Scheme
........................................216
8.1.1
Accompanying State Axiom
.......................216
8.1.2
Entropy and Entropy Production
...................219
8.1.3
Rate Equations
..................................220
8.2
Applications
...........................................221
8.2.1
Viscoelastic Solids
................................221
8.2.2
Polymeric Fluids
.................................224
8.2.3
Colloidal Suspensions
.............................227
8.3
Final Comments and Comparison with Other Theories
......232
8.4
Problems
..............................................234
9
Rational Thermodynamics
................................237
9.1
General Structure
......................................238
9.2
The Axioms of Rational Thermodynamics
.................238
9.2.1
Axiom of Admissibility and Clausius-Duhem s
Inequality
.......................................239
9.2.2
Axiom of Memory
................................240
9.2.3
Axiom of Equipresence
............................241
9.2.4
Axiom of Local Action
............................241
9.2.5
Axiom of Material Frame-Indifference
...............242
9.3
Application to Thermoelastic Materials
...................243
9.4
Viscous Heat Conducting Fluids
..........................247
9.5
Comments and Critical Analysis
..........................249
9.5.1
The Clausius-Duhem s Inequality
..................249
9.5.2
Axiom of Phlogiston
..............................249
9.5.3
The Meaning of Temperature and Entropy
..........250
9.5.4
Axiom of Frame-Indifference
.......................251
9.5.5
The Entropy Flux Axiom
..........................252
9.5.6
The Axiom of Equipresence
........................252
9.6
Problems
..............................................257
10
Hamiltonian Formalisms
..................................261
10.1
Classical Mechanics
.....................................262
10.2
Formulation of GENERIC
...............................264
10.2.1
Classical Navier-Stokes Hydrodynamics
............266
10.2.2
Fickian Diffusion in Binary Mixtures
................270
10.2.3
Non-Fickian Diffusion in Binary Mixtures
...........273
10.3
Final Comments
........................................274
10.4
Problems
..............................................278
11
Mesoscopic Thermodynamic Descriptions
.................279
11.1
Einstein s Formula: Second Moments
of Equilibrium Fluctuations
..............................279
11.2
Derivation of the Onsager-Casimir s Reciprocal Relations
___282
Contents XIII
11.3 Fluctuation-Dissipation Theorem.........................285
11.4
Keizer s Theory: Fluctuations in Non-Equilibrium Steady
States.................................................288
11.4.1 Dynamics
of Fluctuations
.........................288
11.4.2
A Non-Equilibrium Entropy
.......................289
11.5
Mesoscopic Non-Equilibrium Thermodynamics
.............292
11.5.1
Brownian Motion with Inertia
......................293
11.5.2
Other Applications
...............................296
11.6
Problems
..............................................299
Epilogue
......................................................303
References
....................................................307
Further Readings
.............................................319
Index
.........................................................321
|
| adam_txt |
Contents
Equilibrium Thermodynamics: A Review
. 1
1.1
The Early History
. 1
1.2
Scope and Definitions
. 3
1.3
The Fundamental Laws
. 5
1.3.1
The Zeroth Law
. 5
1.3.2
The First Law or Energy Balance
. 6
1.3.3
The Second Law
. 8
1.3.4
The Third Law
. 14
1.4
Gibbs' Equation
. 14
1.4.1
Fundamental Relations and State Equations
. 15
1.4.2
Euler's Relation
. 16
1.4.3
Gibbs-Duhem's Relation
. 16
1.4.4
Some Definitions
. 17
1.4.5
The Basic Problem of Equilibrium Thermodynamics
. 18
1.5
Legendre Transformations and Thermodynamic Potentials
. 19
1.5.1
Thermodynamic Potentials
. 20
1.5.2
Thermodynamic Potentials and
Extrémům
Principles
. 21
1.6
Stability of Equilibrium States
. 24
1.6.1
Stability of Single Component Systems
. 24
1.6.2
Stability Conditions for the Other Thermodynamic
Potentials
. 27
1.6.3
Stability Criterion of Multi-Component Mixtures
. 27
1.7
Equilibrium Chemical Thermodynamics
. 29
1.7.1
General Equilibrium Conditions
. 30
1.7.2
Heat of Reaction and van't
Hoff
Relation
. 31
1.7.3
Stability of Chemical Equilibrium and
Le Chatelier's
Principle
. 32
1.8
Final Comments
. 34
1.9
Problems
. 34
IX
Contents
Classical
Irreversible
Thermodynamics
. 37
2.1 Basic
Concepts
. 38
2.2
Local Equilibrium Hypothesis
. 39
2.3
Entropy Balance
. 41
2.4
General Theory
. 44
2.5
Stationary States
. 50
2.5.1
Minimum Entropy Production Principle
. 51
2.6
Applications to Heat Conduction, Mass Transport,
and Fluid Flows
. 54
2.6.1
Heat Conduction in a Rigid Body
. 54
2.6.2
Matter Diffusion Under Isothermal and Isobaric
Conditions
. 59
2.6.3
Hydrodynamics
. 60
2.7
Limitations of the Classical Theory of Irreversible
Thermodynamics
. 63
2.8
Problems
. 65
Coupled Transport Phenomena
. 69
3.1
Electrical Conduction
. 70
3.2
Thermoelectric Effects
. 72
3.2.1
Phenomenological Laws
. 72
3.2.2
Efficiency of Thermoelectric Generators
. 76
3.3
Thermodiffusion:
Coupling of Heat and Mass Transport
. 79
3.4
Diffusion Through a Membrane
. 83
3.4.1
Entropy Production
. 83
3.4.2
Phenomenological Relations
. 85
3.5
Problems
. 87
Chemical Reactions and Molecular Machines
. 91
4.1
One Single Chemical Reaction
. 92
4.2
Coupled Chemical Reactions
. 96
4.2.1
General Formalism
. 96
4.2.2
Cyclical Chemical Reactions and Onsager's
Reciprocal Relations
. 97
4.3
Efficiency of Energy Transfer
.100
4.4
Chemical Reactions and Mass Transport:
Molecular Machines
.102
4.5
Autocatalytic Reactions and Diffusion: Morphogenesis
.108
4.6
Problems
.109
Finite-Time Thermodynamics
.113
5.1
The Finite-Time Carnot Cycle
.114
5.1.1
Curzon-
Ahlborn's Model: Heat Losses
.115
5.1.2
Friction Losses
.120
5.2
Economical and Ecological Constraints
.122
Contents
ут
5.3
Earth's Atmosphere as a Non-Equilibrium System
and a Heat Engine
.125
5.3.1
Earth's Energy Balance
.125
5.3.2
Global Warming
.126
5.3.3
Transformation of Solar Heat into Wind Motion
.128
5.4
Problems
.130
6
Instabilities and Pattern Formation
.135
6.1
The Linear Theory of Stability
.137
6.2
Non-Linear Approaches
.138
6.3
Thermal Convection
.143
6.3.1
The
Rayleigh-Bénarďs
Instability: A Linear Theory
. . 145
6.3.2
The
Rayleigh-Bénarďs
Instability:
A Non-Linear Theory
.152
6.3.3
Bénard-Marangoni's
Surface Tension-Driven
Instability
.154
6.4
Taylor's Instability
.158
6.5
Chemical Instabilities
.162
6.5.1
Temporal Organization in Spatially Homogeneous
Systems
.163
6.5.2
Spatial Organization in Spatially Heterogeneous
Systems
.167
6.5.3
Spatio-Temporal
Patterns in Heterogeneous Systems:
Turing Structures
.167
6.6
Miscellaneous Examples of Pattern Formation
.169
6.6.1
Salt Fingers
.169
6.6.2
Patterns in Electricity
.171
6.6.3
Dendritic Pattern Formation
.172
6.7
Problems
.174
7
Extended Irreversible Thermodynamics
.179
7.1
Heat Conduction
.181
7.1.1
Fourier's vs. Cattaneo's Law
.181
7.1.2
Extended Entropy
.189
7.1.3
Non-Local
Terms: From Collision-Dominated Regime
to Ballistic Regime
.191
7.1.4
Application to Steady Heat Transport
in Nano-Systems
.195
7.2
One-Component Viscous Heat Conducting Fluids
.196
7.3
Rheological Fluids
.
200
7.4
Microelectronic Devices
.202
7.5
Final Comments and Perspectives
.205
7.6
Problems
.
209
XII Contents
8
Theories with Internal Variables
.215
8.1
General Scheme
.216
8.1.1
Accompanying State Axiom
.216
8.1.2
Entropy and Entropy Production
.219
8.1.3
Rate Equations
.220
8.2
Applications
.221
8.2.1
Viscoelastic Solids
.221
8.2.2
Polymeric Fluids
.224
8.2.3
Colloidal Suspensions
.227
8.3
Final Comments and Comparison with Other Theories
.232
8.4
Problems
.234
9
Rational Thermodynamics
.237
9.1
General Structure
.238
9.2
The Axioms of Rational Thermodynamics
.238
9.2.1
Axiom of Admissibility and Clausius-Duhem's
Inequality
.239
9.2.2
Axiom of Memory
.240
9.2.3
Axiom of Equipresence
.241
9.2.4
Axiom of Local Action
.241
9.2.5
Axiom of Material Frame-Indifference
.242
9.3
Application to Thermoelastic Materials
.243
9.4
Viscous Heat Conducting Fluids
.247
9.5
Comments and Critical Analysis
.249
9.5.1
The Clausius-Duhem's Inequality
.249
9.5.2
Axiom of Phlogiston
.249
9.5.3
The Meaning of Temperature and Entropy
.250
9.5.4
Axiom of Frame-Indifference
.251
9.5.5
The Entropy Flux Axiom
.252
9.5.6
The Axiom of Equipresence
.252
9.6
Problems
.257
10
Hamiltonian Formalisms
.261
10.1
Classical Mechanics
.262
10.2
Formulation of GENERIC
.264
10.2.1
Classical Navier-Stokes' Hydrodynamics
.266
10.2.2
Fickian Diffusion in Binary Mixtures
.270
10.2.3
Non-Fickian Diffusion in Binary Mixtures
.273
10.3
Final Comments
.274
10.4
Problems
.278
11
Mesoscopic Thermodynamic Descriptions
.279
11.1
Einstein's Formula: Second Moments
of Equilibrium Fluctuations
.279
11.2
Derivation of the Onsager-Casimir's Reciprocal Relations
_282
Contents XIII
11.3 Fluctuation-Dissipation Theorem.285
11.4
Keizer's Theory: Fluctuations in Non-Equilibrium Steady
States.288
11.4.1 Dynamics
of Fluctuations
.288
11.4.2
A Non-Equilibrium Entropy
.289
11.5
Mesoscopic Non-Equilibrium Thermodynamics
.292
11.5.1
Brownian Motion with Inertia
.293
11.5.2
Other Applications
.296
11.6
Problems
.299
Epilogue
.303
References
.307
Further Readings
.319
Index
.321 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Lebon, Georgy Jou, David 1953- Casas-Vázquez, José 1938- |
| author_GND | (DE-588)129374679 (DE-588)134136551 |
| author_facet | Lebon, Georgy Jou, David 1953- Casas-Vázquez, José 1938- |
| author_role | aut aut aut |
| author_sort | Lebon, Georgy |
| author_variant | g l gl d j dj j c v jcv |
| building | Verbundindex |
| bvnumber | BV023287105 |
| classification_rvk | UG 2000 |
| ctrlnum | (OCoLC)214362965 (DE-599)DNB985090197 |
| dewey-full | 536.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 536 - Heat |
| dewey-raw | 536.7 |
| dewey-search | 536.7 |
| dewey-sort | 3536.7 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
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| id | DE-604.BV023287105 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:41:59Z |
| indexdate | 2024-07-09T21:15:00Z |
| institution | BVB |
| isbn | 9783540742517 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016471785 |
| oclc_num | 214362965 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-92 DE-384 DE-83 DE-11 DE-355 DE-BY-UBR DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-20 DE-92 DE-384 DE-83 DE-11 DE-355 DE-BY-UBR DE-19 DE-BY-UBM |
| physical | XIII, 325 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| spelling | Lebon, Georgy Verfasser aut Understanding non-equilibrium thermodynamics foundations, applications, frontiers G. Lebon ; D. Jou ; J. Casas-Vázquez Berlin [u.a.] Springer 2008 XIII, 325 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nonequilibrium thermodynamics Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd rswk-swf Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 s DE-604 Jou, David 1953- Verfasser (DE-588)129374679 aut Casas-Vázquez, José 1938- Verfasser (DE-588)134136551 aut Erscheint auch als Online-Ausgabe 978-3-540-74252-4 http://d-nb.info/985090197/04 Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016471785&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lebon, Georgy Jou, David 1953- Casas-Vázquez, José 1938- Understanding non-equilibrium thermodynamics foundations, applications, frontiers Nonequilibrium thermodynamics Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| subject_GND | (DE-588)4130850-5 |
| title | Understanding non-equilibrium thermodynamics foundations, applications, frontiers |
| title_auth | Understanding non-equilibrium thermodynamics foundations, applications, frontiers |
| title_exact_search | Understanding non-equilibrium thermodynamics foundations, applications, frontiers |
| title_exact_search_txtP | Understanding non-equilibrium thermodynamics foundations, applications, frontiers |
| title_full | Understanding non-equilibrium thermodynamics foundations, applications, frontiers G. Lebon ; D. Jou ; J. Casas-Vázquez |
| title_fullStr | Understanding non-equilibrium thermodynamics foundations, applications, frontiers G. Lebon ; D. Jou ; J. Casas-Vázquez |
| title_full_unstemmed | Understanding non-equilibrium thermodynamics foundations, applications, frontiers G. Lebon ; D. Jou ; J. Casas-Vázquez |
| title_short | Understanding non-equilibrium thermodynamics |
| title_sort | understanding non equilibrium thermodynamics foundations applications frontiers |
| title_sub | foundations, applications, frontiers |
| topic | Nonequilibrium thermodynamics Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| topic_facet | Nonequilibrium thermodynamics Nichtgleichgewichtsthermodynamik |
| url | http://d-nb.info/985090197/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016471785&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lebongeorgy understandingnonequilibriumthermodynamicsfoundationsapplicationsfrontiers AT joudavid understandingnonequilibriumthermodynamicsfoundationsapplicationsfrontiers AT casasvazquezjose understandingnonequilibriumthermodynamicsfoundationsapplicationsfrontiers |
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