Doctoral thesis (Dissertations and theses)
Conservation Laws in Nonequilibrium Thermodynamics: Stochastic Processes, Chemical Reaction Networks, and Information Processing
Rao, Riccardo
2018
 

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Keywords :
stochastic thermodynamics; chemical reaction networks; fluctuation theorem
Abstract :
[en] Thermodynamics has a long history. It was established during the 19th century as a phenomenological theory grasping the principles underlying heat engines. In the 20th and 21st centuries its range of applicability was extended to nonequilibrium stochastic and chemical processes. However a systematic procedure to identify the thermodynamic forces at work in these systems was lacking. In this thesis, we provide one by making use of conservation laws. Of particular importance are the conservation laws which are broken when putting the system in contact with different reservoirs (thermostats or chemostats). These laws depend on the internal structure of the system and are specific to each system. We introduce a systematic procedure to identify them and show how they shape the entropy production (i.e. the dissipation) into fundamental contributions. Each of these provides precious insight on how to drive and control the system out of equilibrium. We first present our results at the level of phenomenological thermodynamics. We then show that they can be systematically derived for various dynamics: Markov jump processes used in stochastic thermodynamics, also including the chemical master equation, and deterministic chemical rate equations with and without diffusion, which are used to describe chemical reaction networks. Generalized nonequilibrium Landauer principles ensue form our theory. They predict that the minimal thermodynamic cost necessary to transform the system from an arbitrary nonequilibrium state to another can be expressed in terms of information metrics such as relative entropies between the equilibrium and nonequilibrium states of the system.
Disciplines :
Physics
Author, co-author :
Rao, Riccardo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Language :
English
Title :
Conservation Laws in Nonequilibrium Thermodynamics: Stochastic Processes, Chemical Reaction Networks, and Information Processing
Defense date :
05 October 2018
Number of pages :
ix, 223
Institution :
Unilu - University of Luxembourg, Luxembourg, Luxembourg
Degree :
DOCTEUR DE L’UNIVERSITÉ DU LUXEMBOURG EN PHYSIQUE
President :
Jury member :
Gaspard, Pierre
Ouldridge, Thomas
Skupin, Alexander  
Focus Area :
Physics and Materials Science
FnR Project :
FNR9114110 - Thermodynamic Cost Of Accuracy In Biological Processes, 2014 (01/11/2014-31/10/2018) - Riccardo Rao
Funders :
FNR - Fonds National de la Recherche [LU]
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since 25 October 2018

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