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Irreversibility and Dissipation in Microscopic Systems

Part of the Springer Theses Book Series

DOI: 10.1007/978-3-319-07079-7

ISBN: 978-3-319-07078-0

Publisher: Springer International Publishing - Springer Journals

Jun 14, 2014

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Small-Scale Thermodynamics

Roldán, Édgar

Pages: 3 –34

[The laws of thermodynamics apply to macroscopic systems, which are described by a large number of degrees of freedom (N∼1023\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}...
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Dissipation and Kullback–Leibler Divergence

Roldán, Édgar

Pages: 37 –59

[In this chapter, we introduce the theoretical framework of the first part of our work, in which we study of the relationship between dissipation and irreversibility quantitatively in microscopic systems in the stationary state.]
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Estimating the Kullback–Leibler Divergence

Roldán, Édgar

Pages: 61 –85

[We now investigate how the KLD rate can be estimated from a single empirical stationary trajectory, obtained from a stochastic stationary process whose dynamics is unknown. We assume that the empirical stationary trajectory contains n\documentclass[12pt]{minimal} \usepackage{amsmath}...
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A Case Study: The Flashing Ratchet

Roldán, Édgar

Pages: 87 –101

[To explore the bound to the entropy production, we study the case of a discrete flashing ratchet model, where we can compare the entropy production with the analytical value and the empirical estimations of the KLD. With this model, we can analyze how information losses affect the estimation of...
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Application to Biology: The Ear Hair Bundle

Roldán, Édgar

Pages: 103 –122

[Biological processes are excellent candidates to apply our technique. The majority of the biological processes are nonequilibrium processes where measurable currents or flows are present. Examples of nonequilibrium biological processes are the dynamics of molecular motors, DNA packing in viruses...
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Energetics of Symmetry Breaking

Roldán, Édgar

Pages: 125 –151

[A symmetry breaking (SB) involves an abrupt change in the set of microstates that a system can explore. This change has unavoidable thermodynamic implications. According to Boltzmann’s microscopic interpretation of entropy, a shrinkage of the set of compatible states implies a decrease of...
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Effective Heating with Random Forces

Roldán, Édgar

Pages: 153 –171

[The use of optical tweezers to study the behavior of microscopic systems driven out of equilibrium has been extended in the last decades, as discussed in the previous chapters. Apart from driving Brownian particles under different nonequilibrium scenarios using forces of the amplitude of the...
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Conclusions and Outlook

Roldán, Édgar

Pages: 175 –178

[In this thesis, we have studied the relationship between irreversibility and dissipation for microscopic systems that reach a nonequilibrium steady state (NESS), in the framework of stochastic thermodynamics.]

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