This title appears in the Scientific Report :
2003
Please use the identifier:
http://hdl.handle.net/2128/1487 in citations.
Please use the identifier: http://dx.doi.org/10.1088/1367-2630/5/1/145 in citations.
Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
We obtain exact travelling wave solutions for three families of stochastic one-dimensional non-equilibrium lattice models with open boundaries. These solutions describe the diffusive motion and microscopic structure of (i) shocks in the partially asymmetric exclusion process with open boundaries, (i...
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Personal Name(s): | Krebs, K. |
---|---|
Jafarpour, F. H. / Schütz, G. M. | |
Contributing Institute: |
Theorie II; IFF-TH-II |
Published in: | New journal of physics, 5 (2003) S. 145 |
Imprint: |
[Bad Honnef]
Dt. Physikalische Ges.
2003
|
Physical Description: |
145 |
DOI: |
10.1088/1367-2630/5/1/145 |
Document Type: |
Journal Article |
Research Program: |
Kondensierte Materie |
Series Title: |
New Journal of Physics
5 |
Subject (ZB): | |
Link: |
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Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1088/1367-2630/5/1/145 in citations.
We obtain exact travelling wave solutions for three families of stochastic one-dimensional non-equilibrium lattice models with open boundaries. These solutions describe the diffusive motion and microscopic structure of (i) shocks in the partially asymmetric exclusion process with open boundaries, (ii) a lattice Fisher wave in a reaction-diffusion system, and (iii) a domain wall in non-equilibrium Glauber-Kawasaki dynamics with magnetization current. For each of these systems we define a microscopic shock position and calculate the exact hopping rates of the travelling wave in terms of the transition rates of the microscopic model. In the steady state a reversal of the bias of the travelling wave marks a first-order non-equilibrium phase transition, analogous to the Zel'dovich theory of kinetics of first-order transitions. The stationary distributions of the exclusion process with n shocks can be described in terms of n-dimensional representations of matrix product states. |