A two–parametric family of asymmetric exclusion processes and its exact solution
نویسنده
چکیده
A two–parameter family of asymmetric exclusion processes for particles on a onedimensional lattice is defined. The two parameters of the model control the driving force and an effect which we call pushing, due to the fact that particles can push each other in this model. We show that this model is exactly solvable via the coordinate Bethe Ansatz and show that its N-particle S-matrix is factorizable. We also study the interplay of the above effects in determining various steady state and dynamical charactersitics of the system. PACS numbers: 82.20.Mj, 02.50.Ga, 05.40.+j e-mail:[email protected] e-mail:[email protected] e-mail:[email protected]
منابع مشابه
A two–parametric family of asymmetric exclusion processes and its exact solution
A two–parameter family of asymmetric exclusion processes for particles on a onedimensional lattice is defined. The two parameters of the model control the driftand the diffusion-rate of the particles. Using the Bethe ansatz, the exact solution of the master equation, and from that the driftand the diffusion-rate in the two–particle sector, is obtained. It is shown that for long times, each of t...
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