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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11819

Title: Finite size scaling of current fluctuations in the totally asymmetric exclusion process
Authors: GORISSEN, Mieke
VANDERZANDE, Carlo
Issue Date: 2011
Publisher: IOP PUBLISHING LTD
Citation: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44 (11)
Abstract: We study the fluctuations of the current J(t) of the totally asymmetric exclusion process with open boundaries. Using a density matrix renormalization group approach, we calculate the cumulant generating function of the current. This function can be interpreted as a free energy for an ensemble in which histories are weighted by exp(-sJ(t)). We show that in this ensemble the model has a first-order spacetime phase transition at s = 0. We numerically determine the finite size scaling of the cumulant generating function near this phase transition, both in the non-equilibrium steady state and for large times.
Notes: [Gorissen, Mieke; Vanderzande, Carlo] Hasselt Univ, Fac Sci, B-3590 Diepenbeek, Belgium. [Vanderzande, Carlo] Katholieke Univ Leuven, Inst Theoret Fys, B-3001 Heverlee, Belgium. mieke.gorissen@uhasselt.be; carlo.vanderzande@uhasselt.be
URI: http://hdl.handle.net/1942/11819
DOI: 10.1088/1751-8113/44/11/115005
ISI #: 000287699800007
ISSN: 1751-8113
Category: A1
Type: Journal Contribution
Validation: ecoom, 2012
Appears in Collections: Research publications

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