Published February 18, 2005
| Version v1
Journal article
Spectral gap of the totally asymmetric exclusion process at arbitrary filling
Creators
- 1. Service de Physique Theorique, Cea Saclay, 91191 Gif-sur-Yvette (France)
Description
We calculate the spectral gap of the Markov matrix of the totally asymmetric simple exclusion process (TASEP) on a ring of L sites with N particles. Our derivation is simple and self-contained and extends a previous calculation that was valid only for half-filling. We use a special property of the Bethe equations for TASEP to reformulate them as a one-body problem. Our method is closely related to the one used to derive exact large deviation functions of the TASEP
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/1419/a5_7_001.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/1419/a5_7_001.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/7/001;
- PII
- S0305-4470(05)89951-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 7
- Journal Page Range
- p. 1419-1425
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36046510
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMMETRY; EQUATIONS; FUNCTIONS; MARKOV PROCESS; MATRICES; PARTICLES
- Descriptors DEC
- STOCHASTIC PROCESSES