Thermodynamics and fluctuations far from equilibrium:
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| Language: | English |
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Berlin [u.a.]
Springer
2008
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| Series: | Springer Series in Chemical Physics
90 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 209 S. Ill., graph. Darst. |
| ISBN: | 9783540745549 3540745548 |
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| 245 | 1 | 0 | |a Thermodynamics and fluctuations far from equilibrium |c John Ross |
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| adam_text | Contents
Part I Thermodynamics and Fluctuations
Far from Equilibrium
1
Introduction to Part I
...................................... 3
1.1
Some Basic Concepts and Definitions
.......................... 4
1.2
Elementary Thermodynamics and Kinetics
..................... 7
References
...................................................... 10
2
Thermodynamics Far from Equilibrium: Linear
and Nonlinear One-Variable Systems
.......................... 11
2.1
Linear One-Variable4 Systems
................................. 11
2.2
Nonlinear One-Variable Systems
.............................. 12
2.3
Dissipation
................................................. 15
2.4
Connection of the Tliermodynamic Theory
with Stochastic Theory
...................................... 16
2.5
Relative Stability of Multiple Stationary Stable States
........... 18
2.6
Reactions with Different Stoichiometries
....................... 20
References
...................................................... 21
3
Thermodynamic State Function for Single
and
Multivarîable
Systems
.................................... 23
3.1
Introduction
................................................ 23
3.2
Linear
Multi-
Variable Systems
................................ 25
3.3
Nonlinear
Multi-
Varia ble
Systems
............................. 29
References
...................................................... 32
4
Continuation of Deterministic Approach
for
Multivariable
Systems
..................................... 33
References
...................................................... 39
5
Thermodynamic and Stochastic Theory
of Reaction-Diffusion Systems
................................. 41
5.1
Reaction-Diffusion Systems with Two
Intermediaţii
............. 44
5.1.1
Linear Reaction Systems
.............................. 45
5.1.2
Non-Linear Reaction Mechanisms
...................... 47
5.1.3
Relative Stability of Two Stable Stationary States
of a Reaction-Diffusion System
......................... 49
5.1.4
Calculation of Relative Stability in a Two-Variable
Example, the Selkov Model
............................ 52
References
...................................................... 58
6
Stability and Relative Stability of Multiple Stationary
States Related to Fluctuations
................................ 59
References
......................................................
G4
7
Experiments on Relative Stability in Kinetic Systems
with Multiple Stationary States
...............................
G5
r.
7.1
Multi-
Variable Systems
...................................... 65
7.2
Single-Variable Systems: Experiments on Optical Instability
...... 68
References
...................................................... 71
8
Thermodynamic and Stochastic Theory
of Transport Processes
........................................ 73
8.1
Introduction
................................................ 73
8.2
Linear Transport Processes
................................... 75
8.2.1
Linear Diffusion
...................................... 75
8.2.2
Linear Thermal Conduction
........................... 77
8.2.3
Linear Viscous Flow
.................................. 79
8.3
Nonlinear One-Variable Transport Processes
.................... 82
8.4
Coupled Transport Processes: An Approach
to Thermodynamics and Fluctuations in Hydrodynamics
......... 83
8.4.1 Lorenz
Equations and an Interesting Experiment
......... 83
8.4.2
Rayleigh Scattering in a Fluid in a Temperature
Gradient
............................................ 87
8.5
Thermodynamic and Stochastic Theory of Electrical Circuits
..... 87
References
...................................................... 87
9
Thermodynamic and Stochastic Theory
for Non-Ideal Systems
........................................ 89
9.1
Introduction
................................................ 89
9.2
A Simple Example
.......................................... 90
References
..................................................... . 93
10
Electrochemical Experiments in Systems
Far from Equilibrium
.......................................... 95
10.1
Introduction
................................................ 95
10.2
Measurement of Electrochemical Potentials
in Non-Equilibrium Stationary States
.......................... 95
10.3
Kinetic and Thennodynamie Information
Derived from Electrochemical Measurements
................... 97
References
. . ■....................................................100
11
Theory of Determination of Thermodynamic
and Stochastic Potentials from Macroscopic
Measurements
.................................................101
11.1
Introduction
................................................101
11.2
Change of Chemical System into Coupled Chemical
and Electrochemical System
..................................102
11.3
Determination of the Stochastic Potential
о
in Coupled Chemical and Electrochemical Systems
..............104
11.4
Determination of the Stochastic Potential
in Chemical Systems with Imposed Fluxes
.....................105
11.5
Suggestions for Experimental Tests of the Master Equation
.......107
References
......................................................108
Part II Dissipation and Efficiency in Autonomous and Externally
Forced Reactions, Including Several Biochemical Systems
12
Dissipation in Irreversible Processes
.......................113
12.1
Introduction
................................................113
12.2
Exact Solution for Thermal Conduction
........................113
12.2.1
Newtoirs
Law of Cooling
..............................113
12.2.2
Fourier Equation
.....................................114
12.3
Exact Solution for Chemical Reactions
.........................116
12.4
Invalidity of the Principle of Minimum Entropy Production
......118
12.5
Invalidity of the Principle of Maximum Entropy Production
.....119
12.6
Editorial
...................................................119
References
......................................................119
13
Efficiency of Irreversible Processes
.........................121
13.1
Introduction
................................................121
13.2
Power and Efficiency of Heat Engines
..........................122
References
......................................................129
14
Finite-Time Thermodynamics
.............................131
Contributed by R.
Stephan
Berry
14.1
Introduction and Background
.................................131
14.2
Constructing Generalized Potentials
...........................133
14.3
Examples: Systems with Finite Rates of Heat Exchange
..........134
14.4
Some More Realistic Applications: Improving Energy Efficiency
by Optimal Control
.........................................137
14.5
Optimization of a More Realistic System: The Otto Cycle
........139
14.
G
Another Example: Distillation
................................141
14.7
Choices of Objectives and Differences of
Extrema
................144
References
......................................................146
15
Reduction of Dissipation in Heat Engines
by Periodic Changes of External Constraints
..................147
15.1
Introduction
................................................147
15.2
A Simple Example
..........................................147
15.3
Some Calculations and Experiments
...........................152
15.3.1
Calculations
.........................................152
15.3.2
Experiments
.........................................157
References
......................................................158
16
Dissipation and Efficiency in Biochemical Reactions
.......150
10.1
Introduction
................................................159
16.2
An Introduction to Oscillatory Reactions
......................159
16.3
An Oscillatory Reaction with Constant Input
of Ren
étants
................................................163
References
......................................................168
17
Three Applications of Chapter
16 .........................169
17.1
Thermodynamie Efficiency in Pumped Biochemical Reactions
.... 109
17.2
Thermodynamie Efficiency of a Proton Pump
...................172
17.3
Experiments on Efficiency in the Forced Oscillatory Horse-Radish
Peroxidase Reaction
.........................................174
References
......................................................179
Part III Stochastic Theory and Fluctuations in Systems
Far from Equilibrium, Including Disordered Systems
18
Fluctuation-Dissipation Relations
.........................183
References
......................................................188
19
Fluctuations in Limit Cycle Oscillators
....................191
References
......................................................195
20
Disordered Kinetic Systems
...............................197
References
......................................................202
Index
..........................................................205
|
| adam_txt |
Contents
Part I Thermodynamics and Fluctuations
Far from Equilibrium
1
Introduction to Part I
. 3
1.1
Some Basic Concepts and Definitions
. 4
1.2
Elementary Thermodynamics and Kinetics
. 7
References
. 10
2
Thermodynamics Far from Equilibrium: Linear
and Nonlinear One-Variable Systems
. 11
2.1
Linear One-Variable4 Systems
. 11
2.2
Nonlinear One-Variable Systems
. 12
2.3
Dissipation
. 15
2.4
Connection of the Tliermodynamic Theory
with Stochastic Theory
. 16
2.5
Relative Stability of Multiple Stationary Stable States
. 18
2.6
Reactions with Different Stoichiometries
. 20
References
. 21
3
Thermodynamic State Function for Single
and
Multivarîable
Systems
. 23
3.1
Introduction
. 23
3.2
Linear
Multi-
Variable Systems
. 25
3.3
Nonlinear
Multi-
Varia ble
Systems
. 29
References
. 32
4
Continuation of Deterministic Approach
for
Multivariable
Systems
. 33
References
. 39
5
Thermodynamic and Stochastic Theory
of Reaction-Diffusion Systems
. 41
5.1
Reaction-Diffusion Systems with Two
Intermediaţii
. 44
5.1.1
Linear Reaction Systems
. 45
5.1.2
Non-Linear Reaction Mechanisms
. 47
5.1.3
Relative Stability of Two Stable Stationary States
of a Reaction-Diffusion System
. 49
5.1.4
Calculation of Relative Stability in a Two-Variable
Example, the Selkov Model
. 52
References
. 58
6
Stability and Relative Stability of Multiple Stationary
States Related to Fluctuations
. 59
References
.
G4
7
Experiments on Relative Stability in Kinetic Systems
with Multiple Stationary States
.
G5
r.
7.1
Multi-
Variable Systems
. 65
7.2
Single-Variable Systems: Experiments on Optical Instability
. 68
References
. 71
8
Thermodynamic and Stochastic Theory
of Transport Processes
. 73
8.1
Introduction
. 73
8.2
Linear Transport Processes
. 75
8.2.1
Linear Diffusion
. 75
8.2.2
Linear Thermal Conduction
. 77
8.2.3
Linear Viscous Flow
. 79
8.3
Nonlinear One-Variable Transport Processes
. 82
8.4
Coupled Transport Processes: An Approach
to Thermodynamics and Fluctuations in Hydrodynamics
. 83
8.4.1 Lorenz
Equations and an Interesting Experiment
. 83
8.4.2
Rayleigh Scattering in a Fluid in a Temperature
Gradient
. 87
8.5
Thermodynamic and Stochastic Theory of Electrical Circuits
. 87
References
. 87
9
Thermodynamic and Stochastic Theory
for Non-Ideal Systems
. 89
9.1
Introduction
. 89
9.2
A Simple Example
. 90
References
. . 93
10
Electrochemical Experiments in Systems
Far from Equilibrium
. 95
10.1
Introduction
. 95
10.2
Measurement of Electrochemical Potentials
in Non-Equilibrium Stationary States
. 95
10.3
Kinetic and Thennodynamie Information
Derived from Electrochemical Measurements
. 97
References
. . ■.100
11
Theory of Determination of Thermodynamic
and Stochastic Potentials from Macroscopic
Measurements
.101
11.1
Introduction
.101
11.2
Change of Chemical System into Coupled Chemical
and Electrochemical System
.102
11.3
Determination of the Stochastic Potential
о
in Coupled Chemical and Electrochemical Systems
.104
11.4
Determination of the Stochastic Potential
in Chemical Systems with Imposed Fluxes
.105
11.5
Suggestions for Experimental Tests of the Master Equation
.107
References
.108
Part II Dissipation and Efficiency in Autonomous and Externally
Forced Reactions, Including Several Biochemical Systems
12
Dissipation in Irreversible Processes
.113
12.1
Introduction
.113
12.2
Exact Solution for Thermal Conduction
.113
12.2.1
Newtoirs
Law of Cooling
.113
12.2.2
Fourier Equation
.114
12.3
Exact Solution for Chemical Reactions
.116
12.4
Invalidity of the Principle of Minimum Entropy Production
.118
12.5
Invalidity of the 'Principle of Maximum Entropy Production'
.119
12.6
Editorial
.119
References
.119
13
Efficiency of Irreversible Processes
.121
13.1
Introduction
.121
13.2
Power and Efficiency of Heat Engines
.122
References
.129
14
Finite-Time Thermodynamics
.131
Contributed by R.
Stephan
Berry
14.1
Introduction and Background
.131
14.2
Constructing Generalized Potentials
.133
14.3
Examples: Systems with Finite Rates of Heat Exchange
.134
14.4
Some More Realistic Applications: Improving Energy Efficiency
by Optimal Control
.137
14.5
Optimization of a More Realistic System: The Otto Cycle
.139
14.
G
Another Example: Distillation
.141
14.7
Choices of Objectives and Differences of
Extrema
.144
References
.146
15
Reduction of Dissipation in Heat Engines
by Periodic Changes of External Constraints
.147
15.1
Introduction
.147
15.2
A Simple Example
.147
15.3
Some Calculations and Experiments
.152
15.3.1
Calculations
.152
15.3.2
Experiments
.157
References
.158
16
Dissipation and Efficiency in Biochemical Reactions
.150
10.1
Introduction
.159
16.2
An Introduction to Oscillatory Reactions
.159
16.3
An Oscillatory Reaction with Constant Input
of Ren
étants
.163
References
.168
17
Three Applications of Chapter
16 .169
17.1
Thermodynamie Efficiency in Pumped Biochemical Reactions
. 109
17.2
Thermodynamie Efficiency of a Proton Pump
.172
17.3
Experiments on Efficiency in the Forced Oscillatory Horse-Radish
Peroxidase Reaction
.174
References
.179
Part III Stochastic Theory and Fluctuations in Systems
Far from Equilibrium, Including Disordered Systems
18
Fluctuation-Dissipation Relations
.183
References
.188
19
Fluctuations in Limit Cycle Oscillators
.191
References
.195
20
Disordered Kinetic Systems
.197
References
.202
Index
.205 |
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| id | DE-604.BV023233440 |
| illustrated | Illustrated |
| index_date | 2024-07-02T20:20:54Z |
| indexdate | 2024-07-09T21:13:42Z |
| institution | BVB |
| isbn | 9783540745549 3540745548 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016419111 |
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| series2 | Springer Series in Chemical Physics |
| spelling | Ross, John Verfasser aut Thermodynamics and fluctuations far from equilibrium John Ross Berlin [u.a.] Springer 2008 XII, 209 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer Series in Chemical Physics 90 Chemical equilibrium Thermodynamics Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd rswk-swf Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 s DE-604 Springer Series in Chemical Physics 90 (DE-604)BV000000670 90 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016419111&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ross, John Thermodynamics and fluctuations far from equilibrium Springer Series in Chemical Physics Chemical equilibrium Thermodynamics Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| subject_GND | (DE-588)4130850-5 |
| title | Thermodynamics and fluctuations far from equilibrium |
| title_auth | Thermodynamics and fluctuations far from equilibrium |
| title_exact_search | Thermodynamics and fluctuations far from equilibrium |
| title_exact_search_txtP | Thermodynamics and fluctuations far from equilibrium |
| title_full | Thermodynamics and fluctuations far from equilibrium John Ross |
| title_fullStr | Thermodynamics and fluctuations far from equilibrium John Ross |
| title_full_unstemmed | Thermodynamics and fluctuations far from equilibrium John Ross |
| title_short | Thermodynamics and fluctuations far from equilibrium |
| title_sort | thermodynamics and fluctuations far from equilibrium |
| topic | Chemical equilibrium Thermodynamics Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd |
| topic_facet | Chemical equilibrium Thermodynamics Nichtgleichgewichtsthermodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016419111&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000670 |
| work_keys_str_mv | AT rossjohn thermodynamicsandfluctuationsfarfromequilibrium |