Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model

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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 → ∞) of the SUq(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.

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Bogoliubov, N. M. (2009). Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5. https://doi.org/10.3842/SIGMA.2009.052

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