Irreversibility and dissipation in microscopic systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2014
|
| Series: | Springer theses
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XXI, 211 S. graph. Darst. |
| ISBN: | 9783319070780 |
Staff View
MARC
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| 100 | 1 | |a Roldán, Édgar |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Irreversibility and dissipation in microscopic systems |c Édgar Roldán |
| 264 | 1 | |a Cham [u.a.] |b Springer |c 2014 | |
| 300 | |a XXI, 211 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Springer theses | |
| 502 | |a Zugl.: Madrid, Universidad Complutense, Diss. | ||
| 650 | 4 | |a Thermodynamics | |
| 650 | 4 | |a Physics | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Part I Introduction
1
Small-Scale Thermodynamics
............................ 3
I
.
I Review of Thermodynamics
.......................... 4
1.2
Maxwell s Demon and
Szilárd
Engine
................... 7
1.3
Review of Statistical Mechanics
....................... 10
1.4
Stochastic Thermodynamics I: Stochastic Energetics
......... 15
1.4.1
Brownian Motion and
Langevin
Equation
........... 15
1.4.2
First Law of Thermodynamics
in the Mesoscopic Scale
........................
J
8
1.4.3
Second Law of Thermodynamics in the Mesoscopic
Scale
..................................... 20
1.5
Stochastic Thermodynamics II: Fluctuation Theorems
........ 22
1.5.1
Jarzynski s Equality
.......................... 22
1.5.2
Crooks s Theorem
............................ 23
1.5.3
Steady State and Transient Fluctuation Theorems
...... 24
1.6
Experiments
..................................... 26
1.7
Outline and Goals
................................. 31
References
.......................................... 33
Part II Irreversibility and Dissipation
2
Dissipation and Kullback-Leibler Divergence
................ 37
2.1
What Is Time Irreversibility?
......................
3g
2.2
Average Dissipation in Irreversible Processes
............ 38
2.2.1
Linear Irreversible Thermodynamics
...............
З8
2.2.2
Entropy Production in Microscopic Systems.
. . 39
2.2.3
KPB Theorem
.............................. 40
2.3
Kullback-Leibler Divergence and Irreversibility
............ 44
2.4
Dissipation and IrreversibiUty in the Nonequilibrium
Stationarv
State
............................
5q
xix
xx Contents
2.5
Discrete
Systems.................................. 52
2.5.1
Markov Chains Obeying Local Detailed Balance
...... 53
2.5.2
Hidden Markov Processes
...................... 56
References
.......................................... 59
3
Estimating the Kullback-Leibler Divergence
................. 61
3.1
Discrete Case
.................................... 62
3.1.1
Plug-in Estimators
............................ 62
3.1.2
Compression-Based Estimator
................... 64
3.2
Continuous Case
.................................. 68
3.2.1
Symbolization and Nearest-Neighbours
............. 69
3.2.2
Autoregressive
Models
........................ 70
3.3
Visibility Technique
................................ 73
3.3.1
The Method
................................ 73
3.3.2
Validation of the Method
....................... 77
References
.......................................... 84
4
A Case Study: The Flashing Ratchet
....................... 87
4.1
Ratchets
........................................ 88
4.2
The Model
...................................... 90
4.3
Full Information
.................................. 92
4.4
Partial Information
................................. 94
4.5
Detecting Irreversibility in the Absence of Currents
.......... 96
4.6
Estimating Dissipation with the Visibility Technique
......... 98
4.7
Conclusions
..................................... 99
References
.......................................... 100
5
Application to Biology: The Ear Hair Bundle
................ 103
5.1
Irreversibility in Biology: Ear Hair Bundles
............... 104
5.2
Simulations
...................................... 110
5.3
Application to Experimental Data
...................... 118
5.4
Conclusions
..................................... 121
References
.......................................... 122
Part III Experimental Tests and Applications of Stochastic
Thermodynamics
6
Energetics of Symmetry Breaking
......................... 125
6.1
Symmetry Breaking and Symmetry Restoration
............. 126
6.2
Experimental Setup
................................ 132
6.3
Experimental Test
................................. 135
6.4
Building
a Szilárd
Engine
............................ 144
6.5
Numerical Simulations
.............................. 147
Contents xxi
6.6
Conclusions
..................................... 150
References
.......................................... 15]
7
Effective Heating with Random Forces
..................... 153
7.1
Controlling the Temperature of Small Systems
............. 154
7.2
Experimental Setup
................................ 156
7.3
Brownian Sphere in a Stationary Trap with Additional Noise
... 159
7.4
A Nonequilibrium Process
........................... 163
7.5
Applications of Our Setup
........................... 167
7.5.1
Sampling Energy Landscapes
and Kramers Transitions
....................... 167
7.5.2
Building Microscopic Heat Engines
............... 169
7.6
Conclusions
..................................... 170
References
.......................................... 171
Part IV Conclusions
8
Conclusions and Outlook
............................... 175
References
.......................................... 178
Appendix A: Appendix to Chapter
1......................... 179
Appendix B: Appendix to Chapter
2......................... 185
Appendix C: Appendix to Chapter
3......................... 193
Appendix D: Appendix to Chapter
5......................... 197
Appendix E: Appendix to Chapter
6......................... 199
Appendix F: Appendix to Chapter
7......................... 205
Publications
........................................... 211
After an
insightful introductory part on recent developments in the thermody¬
namics of small systems, the author presents his contribution to a long-standing
problem, namely the connection between
ireversibility
and dissipation. He
develops a method based on recent results on fluctuation theorems that is
able to estimate dissipation using only information acquired in a single, suf¬
ficiently long, trajectory of a stationary nonequiiibnimi process. This part
ends with a remarkable
application
of the method to the analysis of biological
data, in this case, the fluctuations of a hair bundle.
The third part studies the energetics of systems that undergo symmetry
breaking transitions. These theoretical ideas lead to, among other things, an
experimental realization of
a Szilárd
engine using manipulated colloids. This
work has the potential for important applications ranging from the analysis
of biological media to the design of novel
artificial natío-machines.
|
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| institution | BVB |
| isbn | 9783319070780 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027524759 |
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| physical | XXI, 211 S. graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
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| publisher | Springer |
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| spelling | Roldán, Édgar Verfasser aut Irreversibility and dissipation in microscopic systems Édgar Roldán Cham [u.a.] Springer 2014 XXI, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer theses Zugl.: Madrid, Universidad Complutense, Diss. Thermodynamics Physics (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe 978-3-319-07079-7 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027524759&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027524759&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Roldán, Édgar Irreversibility and dissipation in microscopic systems Thermodynamics Physics |
| subject_GND | (DE-588)4113937-9 |
| title | Irreversibility and dissipation in microscopic systems |
| title_auth | Irreversibility and dissipation in microscopic systems |
| title_exact_search | Irreversibility and dissipation in microscopic systems |
| title_full | Irreversibility and dissipation in microscopic systems Édgar Roldán |
| title_fullStr | Irreversibility and dissipation in microscopic systems Édgar Roldán |
| title_full_unstemmed | Irreversibility and dissipation in microscopic systems Édgar Roldán |
| title_short | Irreversibility and dissipation in microscopic systems |
| title_sort | irreversibility and dissipation in microscopic systems |
| topic | Thermodynamics Physics |
| topic_facet | Thermodynamics Physics Hochschulschrift |
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