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Irreversibility and Dissipation in Microscopic Systems

  • Book
  • © 2014

Overview

  • Nominated as an outstanding Ph.D. thesis by the Complutense University of Madrid
  • A guide to understanding time irreversibility and how it can be quantified in stationary processes
  • Develops techniques to estimate the dissipation rate in biological processes from single stationary trajectories
  • Serves as a guide to estimate the Kullback-Leibler divergence between two probability distributions (discrete or continuous)
  • Describes experimental measurement of the energetics of symmetry breaking
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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About this book

After an insightful introductory part on recent developments in the thermodynamics of small systems, the author presents his contribution to a long-standing problem, namely the connection between irreversibility 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, sufficiently long, trajectory of a stationary nonequilibrium 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 Szilard 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 nano-machines.

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Table of contents (8 chapters)

  1. Introduction

  2. Irreversibility and Dissipation

  3. Experimental Tests and Applications of Stochastic Thermodynamics

  4. Conclusions

Authors and Affiliations

  • Departamento de Física Atómica Molecular y Nuclear and GISC, Universidad Complutense de Madrid, Madrid, Spain

    Édgar Roldán

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