Non-equilibrium energy transformation processes: theoretical description at the level of molecular structures
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2014
|
| Series: | Springer theses
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIV, 152 S. Ill., graph. Darst. |
| ISBN: | 9783319070902 |
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MARC
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| 100 | 1 | |a Holubec, Viktor |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Non-equilibrium energy transformation processes |b theoretical description at the level of molecular structures |c Viktor Holubec |
| 264 | 1 | |a Cham [u.a.] |b Springer |c 2014 | |
| 300 | |a XIV, 152 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Physics | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1
Introduction
........................................
j
References
.......................................... 8
2
Stochastic Thermodynamics
............................. 17
2.1
Discrete Systems
.................................. 17
2.1.1
Dynamics
.................................. 18
2.1.2
Energetics
................................. 19
2.2
Continuous Systems
................................ 24
2.2.1
Dynamics
.................................. 24
2.2.2
Energetics
................................. 25
2.2.3
On the Work Definition
........................ 28
2.3
Work Fluctuation Relations
.......................... 31
2.4
Heat Engines
..................................... 34
2.4.1
Limit Cycle
................................ 36
2.4.2
Diagrams of the Limit Cycle
.................... 38
References
.......................................... 40
3
Discrete State Space Models
............................. 47
3.1
Two-Level System
................................. 47
3.1.1
Dynamics
.................................. 47
3.1.2
Energetics
................................. 48
3.2 Ehrenfest
Model
.................................. 52
3.2.1
Dynamics
.................................. 53
3.2.2
Energetics
................................. 54
3.3
Infinite-Level Model
............................... 55
3.3.1
Dynamics
.................................. 56
3.3.2
Energetics
................................. 56
3.4 Kittel
Zipper
..................................... 58
3.4.1
Introduction
................................ 59
3.4.2
Unzipping in an Extended
Kittel
Model
............. 60
3.4.3
Formalization of the Model
..................... 65
3.4.4
Solution of the Model
......................... 66
3.4.5
Discussion
................................. 69
References
.......................................... 74
Xl
xii Contents
4
Continuous
State Space Models.......................... 79
4.1
The Two
Works:
A Toy
Model........................ 79
4.1.1
Indirectly Controlled
Force..................... 79
4.1.2
Directly Controlled Force
....................... 82
4.2
Sliding Parabola
.................................. 83
References
.......................................... 88
5
Heat Engines
........................................ 91
5.1
Two-Level Heat Engine
............................. 91
5.1.1
Introduction
................................ 91
5.1.2
Description of the Engine and Its Limit Cycle
........ 92
5.1.3
Probability Density for Work and Heat
............. 96
5.1.4
Engine Performance
.......................... 97
5.1.5
Discussion
................................. 101
5.1.6
Conclusions
................................ 105
5.2
Diffusive Heat Engine
.............................. 106
5.2.1
Introduction
................................ 106
5.2.2
Description of the Engine and Its Limit Cycle
........ 107
5.2.3
Thermodynamic Quantities
......................
Ill
5.2.4
Diagrams of the Limit Cycle
.................... 113
5.2.5
External Driving
............................. 114
5.2.6
Discussion
................................. 122
References
.......................................... 124
6
Conclusion
.......................................... 127
References
.......................................... 128
Appendix A: Work Distributions for Slow and for Fast Processes
.... 129
Appendix B: Validity of Jarzynski Equality
for a Unidirectional Process
...................... 133
Appendix C: Simulations
.................................. 139
Curriculum
Vitae
....................................... 151
Various experimental techniques have been advanced in recent years to
measure non-equilibrium energy transformations on the microscopic
scale of single molecules. In general, the systems studied in the corre¬
sponding experiments are exposed to strong thermal fluctuations and
thus the relevant energetic variables such as work and heat become sto¬
chastic.
This thesis addresses challenging theoretical problems in this active field
of current research: (i) Exact analytical solutions of work and heat distri¬
butions for isothermal non-equilibrium processes in suitable models are
obtained;
(2)
Corresponding solutions for cyclic processes involving two
different heat reservoirs are found;
(3)
Optimization of periodic driving
protocols for such cyclic processes with respect to maximal output power,
efficiency, and
minimal
power fluctuations is studied·
The exact solutions for work and heat distributions provide a reference for
theoretical investigations of more complicated models, giving insight into
the structure of the tail of work distributions and serving as valuable test
cases for simulations of the underlying stochastic processes.
|
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| discipline | Physik |
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| id | DE-604.BV042083762 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:12:16Z |
| institution | BVB |
| isbn | 9783319070902 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027524783 |
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| physical | XIV, 152 S. Ill., graph. Darst. |
| publishDate | 2014 |
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| publishDateSort | 2014 |
| publisher | Springer |
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| series2 | Springer theses |
| spelling | Holubec, Viktor Verfasser aut Non-equilibrium energy transformation processes theoretical description at the level of molecular structures Viktor Holubec Cham [u.a.] Springer 2014 XIV, 152 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer theses Zugl.: Prag, Karls-Univ., Diss. Thermodynamics Physics (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe 978-3-319-07091-9 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=027524783&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=027524783&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Holubec, Viktor Non-equilibrium energy transformation processes theoretical description at the level of molecular structures Thermodynamics Physics |
| subject_GND | (DE-588)4113937-9 |
| title | Non-equilibrium energy transformation processes theoretical description at the level of molecular structures |
| title_auth | Non-equilibrium energy transformation processes theoretical description at the level of molecular structures |
| title_exact_search | Non-equilibrium energy transformation processes theoretical description at the level of molecular structures |
| title_full | Non-equilibrium energy transformation processes theoretical description at the level of molecular structures Viktor Holubec |
| title_fullStr | Non-equilibrium energy transformation processes theoretical description at the level of molecular structures Viktor Holubec |
| title_full_unstemmed | Non-equilibrium energy transformation processes theoretical description at the level of molecular structures Viktor Holubec |
| title_short | Non-equilibrium energy transformation processes |
| title_sort | non equilibrium energy transformation processes theoretical description at the level of molecular structures |
| title_sub | theoretical description at the level of molecular structures |
| topic | Thermodynamics Physics |
| topic_facet | Thermodynamics Physics Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027524783&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027524783&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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