Non-Dissipative Effects in Nonequilibrium Systems

by Christian Maes

Overview

This book introduces and discusses both the fundamental aspects and the measurability of applications of time-symmetric kinetic quantities, outlining the features that constitute the non-dissipative branch of non-equilibrium physics.
These specific features of non-equilibrium dynamics have largely been ignored in standard statistical mechanics texts. This introductory-level book offers novel material that does not take the traditional line of extending standard thermodynamics to the irreversible domain.
It shows that although stationary dissipation is essentially equivalent with steady non-equilibrium and ubiquitous in complex phenomena, non-equilibrium is not determined solely by the time-antisymmetric sector of energy-entropy considerations. While this should not be very surprising, this book provides timely, simple reminders of the role of time-symmetric and kinetic aspects in the construction of non-equilibrium statistical mechanics.

Product Details

ISBN-13:	9783319677804
Publisher:	Springer-Verlag New York, LLC
Publication date:	09/20/2017
Series:	SpringerBriefs in Complexity
Sold by:	Barnes & Noble
Format:	eBook
Pages:	53
File size:	1 MB

Table of Contents

Preliminary:

I. Introductory comments 

II. (Non-)dissipative effects?

III. On the stationary distribution

A. The difference between a lake and a river

B. From the uniform to a peaked distribution

C. Heat bounds

D. Population inversion

E. Variational principles

F. Recent examples

1. Demixing

2. No thermodynamic pressure

IV. Transport properties

A. Current direction decided by time-symmetric factors

B. Negative differential conductivity

C. Death and resurrection of a current

V. Response

A. Standard fluctuation–dissipation relation

B. Enters dynamical activity

C. Second order response

D. Breaking of local detailed balance

VI. Frenetic bounds to dissipation rates

VII. Symmetry breaking

VIII. Frenometry

A. Reactivities, escape rates

B. Non-gradient a

spects are non-dissipative

IX. Conclusions

References