W S Brams Dwandaru and Matthias Schmidt 2007 J. Phys. A: Math. Theor. 40 13209 doi:10.1088/1751-8113/40/44/002
W S Brams Dwandaru1,2 and Matthias Schmidt1,3
Show affiliationsWe consider the totally asymmetric exclusion process (TASEP) of particles on a one-dimensional lattice that interact with site exclusion and are driven into one direction only. The mean-field approximation of the dynamical equation for the one-particle density of this model is shown to be equivalent to the exact Euler–Lagrange equations for the equilibrium density profiles of a binary mixture. In this mixture particles occupy one (two) lattice sites and correspond to resting (moving) particles in the TASEP. Despite the strict absence of bulk phase transitions in the equilibrium mixture, the influence of density-dependent external potentials is shown to induce abrupt changes in the one-body density that are equivalent to the exact out-of-equilibrium phase transitions between steady states in the TASEP with open boundaries.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82B26 Phase transitions (general)
82C26 Dynamic and nonequilibrium phase transitions (general)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 44 (2 November 2007)
Received 17 July 2007, in final form 18 July 2007
Published 16 October 2007
W S Brams Dwandaru and Matthias Schmidt 2007 J. Phys. A: Math. Theor. 40 13209
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