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A Two-Parametric Family of Asymmetric Exclusion Processes and Its Exact Solution |
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| Authors: | Alimohammadi M Karimipour V Khorrami M |
| Institution: | (1) University of Teheran, North Karegar, Tehran, Iran;(2) Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran;(3) Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran;(4) Institute for Advanced Studies in Basis Sciences, P.O. Box 159, Gava Zang, Zanjan, 45195, Iran |
| Abstract: | A two-parameter family of asymmetric exclusion processes for particles on a one-dimensional lattice is defined. The two parameters of the model control the driving force and 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 characteristics of the system. |
| Keywords: | asymmetric exclusion process Bethe ansatz master equation drift parameter asymmetry parameter diffusion rate |
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