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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 052, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.052 (Mi sigma398) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model

Nikolay M. Bogolyubov

St. Petersburg Department of V. A. Steklov Mathematical Institute, Fontanka 27, St. Petersburg 191023, Russia
Full-text PDF (220 kB) Citations (16)
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DOI: https://doi.org/10.3842/SIGMA.2009.052
Abstract: The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the “crystalline limit” ($q\rightarrow\infty$) of the $SU_q(2)$ quantum algebra. Using the quantum inverse scattering method we obtain the exact expression for the time-dependent stationary correlation function of the totally asymmetric simple exclusion process on a one dimensional lattice with the periodic boundary conditions.
Keywords: quantum inverse method; algebraic Bethe ansatz; asymmetric exclusion process.
Received: October 30, 2008; in final form April 14, 2009; Published online April 23, 2009
Bibliographic databases:
Document Type: Article
MSC: 82C23; 81R50
Language: English
Citation: Nikolay M. Bogolyubov, “Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model”, SIGMA, 5 (2009), 052, 11 pp.
Citation in format AMSBIB
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