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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 | Source: | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44 (11) (Art N° 115005) | 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 | Document URI: | http://hdl.handle.net/1942/11819 | ISSN: | 1751-8113 | e-ISSN: | 1751-8121 | DOI: | 10.1088/1751-8113/44/11/115005 | ISI #: | 000287699800007 | Rights: | 2011 IOP Publishing Ltd | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2012 |
Appears in Collections: | Research publications |
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1010.5139v1.pdf | Non Peer-reviewed author version | 891.06 kB | Adobe PDF | View/Open |
Gorissen_2011_J._Phys._A__Math._Theor._44_115005.pdf Restricted Access | Published version | 997.89 kB | Adobe PDF | View/Open Request a copy |
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