Exact Large Deviation Function in the Asymmetric Exclusion Process
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Publication:4492577
DOI10.1103/PhysRevLett.80.209zbMath0954.60093arXivcond-mat/9809044MaRDI QIDQ4492577
Bernard Derrida, Joel L. Lebowitz
Publication date: 16 July 2000
Published in: Physical Review Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9809044
large deviation functiondiffusion constanthigher cumulantsBethe ansatz methodideal Bose or Fermi gas
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)
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Cites Work
- Unnamed Item
- Exact solution of the master equation for the asymmetric exclusion process
- Exact solution of the totally asymmetric simple exclusion process: shock profiles
- Exact steady states of disordered hopping particle models with parallel and ordered sequential dynamics
- AsymmetricXXZchain at the antiferromagnetic transition: spectra and partition functions
- Finite-dimensional representations of the quadratic algebra: Applications to the exclusion process
- Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries
- Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
- Exact solution of a 1D asymmetric exclusion model using a matrix formulation
- Exact diffusion constant for the one-dimensional partially asymmetric exclusion model
