Universität zu Köln

Harris, Rosemary J., Popkov, Vladislav and Schuetz, Gunter M. (2013). Dynamics of Instantaneous Condensation in the ZRP Conditioned on an Atypical Current. Entropy, 15 (11). S. 5065 - 5084. BASEL: MDPI AG. ISSN 1099-4300

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Abstract

Using a generalized Doob's h-transform we consider the zero-range process (ZRP) conditioned to carry an atypical current, with focus on the regime where the Gallavotti-Cohen symmetry loses its validity. For a single site we compute explicitly the boundary injection and absorption rates of an effective process which maps to a biased random walk. Our approach provides a direct probabilistic confirmation of the theory of instantaneous condensation which was proposed some while ago to explain the dynamical origin of the the failure of the Gallavotti-Cohen symmetry for high currents in the ZRP. However, it turns out that for stochastic dynamics with infinite state space care needs to be taken in the application of the Doob's transform-we discuss in detail the sense in which the effective dynamics can be interpreted as typical for different regimes of the current phase diagram.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Harris, Rosemary J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Popkov, Vladislav UNSPECIFIED UNSPECIFIED UNSPECIFIED Schuetz, Gunter M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-473398
DOI:	10.3390/e15115065
Journal or Publication Title:	Entropy
Volume:	15
Number:	11
Page Range:	S. 5065 - 5084
Date:	2013
Publisher:	MDPI AG
Place of Publication:	BASEL
ISSN:	1099-4300
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ZERO-RANGE PROCESS; STOCHASTIC DYNAMICS; LARGE DEVIATIONS; OPEN BOUNDARIES; MODELS; ENSEMBLES; SYMMETRY Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47339