Universität zu Köln

Altland, Alexander, De Martino, Alessandro ORCID: 0000-0002-3656-0419, Egger, Reinhold ORCID: 0000-0001-5451-1883 and Narozhny, Boris ORCID: 0000-0001-7933-2945 (2010). Transient fluctuation relations for time-dependent particle transport. Phys. Rev. B, 82 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We consider particle transport under the influence of time-varying driving forces, where fluctuation relations connect the statistics of pairs of time-reversed evolutions of physical observables. In many mesoscopic transport processes, the effective many-particle dynamics is dominantly classical while the microscopic rates governing particle motion are of quantum-mechanical origin. We here employ the stochastic path-integral approach as an optimal tool to probe the fluctuation statistics in such applications. Describing the classical limit of the Keldysh quantum nonequilibrium field theory, the stochastic path integral encapsulates the quantum origin of microscopic particle exchange rates. Dynamically, it is equivalent to a transport master equation which is a formalism general enough to describe many applications of practical interest. We apply the stochastic path integral to derive general functional fluctuation relations for current flow induced by time-varying forces. We show that the successive measurement processes implied by this setup do not put the derivation of quantum fluctuation relations in jeopardy. While in many cases the fluctuation relation for a full time-dependent current profile may contain excessive information, we formulate a number of reduced relations, and demonstrate their application to mesoscopic transport. Examples include the distribution of transmitted charge, where we show that the derivation of a fluctuation relation requires the combined monitoring of the statistics of charge and work.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Altland, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED De Martino, Alessandro UNSPECIFIED orcid.org/0000-0002-3656-0419 UNSPECIFIED Egger, Reinhold UNSPECIFIED orcid.org/0000-0001-5451-1883 UNSPECIFIED Narozhny, Boris UNSPECIFIED orcid.org/0000-0001-7933-2945 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-496406
DOI:	10.1103/PhysRevB.82.115323
Journal or Publication Title:	Phys. Rev. B
Volume:	82
Number:	11
Date:	2010
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COUNTING STATISTICS; NONEQUILIBRIUM THERMODYNAMICS; ENTROPY PRODUCTION; DISSIPATION; DYNAMICS; LIFETIME; THEOREMS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49640