AN EXACTLY SOLUBLE NON-EQUILIBRIUM SYSTEM : THE ASYMMETRIC SIMPLE EXCLUSION PROCESS

@article{Derrida1998ANES,
  title={AN EXACTLY SOLUBLE NON-EQUILIBRIUM SYSTEM : THE ASYMMETRIC SIMPLE EXCLUSION PROCESS},
  author={Bernard Derrida},
  journal={Physics Reports},
  year={1998},
  volume={301},
  pages={65-83}
}
  • B. Derrida
  • Published 1 July 1998
  • Physics
  • Physics Reports
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References

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Exact solution of the totally asymmetric simple exclusion process: Shock profiles
The microscopic structure of macroscopic shocks in the one-dimensional, totally asymmetric simple exclusion process is obtained exactly from the complete solution of the stationary state of a model…
Exact diffusion constant for one-dimensional asymmetric exclusion models
The one-dimensional fully asymmetric exclusion model, which describes a system of particles hopping in a preferred direction with hard core interactions, is considered on a ring of size N. The steady…
Exact diffusion constant of a one-dimensional asymmetric exclusion model with open boundaries
For the 1D fully asymmetric exclusion model with open boundary conditions, we calculate exactly the fluctuations of the current of particles. The method used is an extension of a matrix technique…
An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
A simple asymmetric exclusion model with open boundaries is solved exactly in one dimension. The exact solution is obtained by deriving a recursion relation for the steady state: if the steady state…
Phase transitions in an exactly soluble one-dimensional exclusion process
We consider an exclusion process with particles injected with rate α at the origin and removed with rate β at the right boundary of a one-dimensional chain of sites. The particles are allowed to hop…
Exact solution of a 1d asymmetric exclusion model using a matrix formulation
Several recent works have shown that the one-dimensional fully asymmetric exclusion model, which describes a system of particles hopping in a preferred direction with hard core interactions, can be…
Shock profiles for the asymmetric simple exclusion process in one dimension
AbstractThe asymmetric simple exclusion process (ASEP) on a one-dimensional lattice is a system of particles which jump at ratesp and 1-p (herep > 1/2) to adjacent empty sites on their right and left…
Exact diffusion constant for the one-dimensional partially asymmetric exclusion model
We calculate exactly the diffusion constant associated with the fluctuations of the current for the partial asymmetric exclusion model on a ring with an arbitrary number of particles and holes. We…
Shocks in the asymmetry exclusion model with an impurity
We consider the one-dimensional asymmetric exclusion process with an impurity. This model describes particles hopping in one direction with stochastic dynamics and a hard core exclusion condition.…
Exact solution of the master equation for the asymmetric exclusion process
Using the Bethe ansatz, we obtain the exact solution of the master equation for the totally asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit expressions for the…
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