Integral Formulas for the Asymmetric Simple Exclusion Process
نویسندگان
چکیده
منابع مشابه
Erratum to: Integral Formulas for the Asymmetric Simple Exclusion Process
This is a correction to the proof of Theorem 2.1 of [1]. An error occurred in the " proof " of Lemma 2.2, which is false. The following should replace the proof of (c) (Sect. II, p. 821ff.), which will correct the proof of the theorem: The initial condition is satisfied by the summand in (2.3) coming from the identity permutation id. So what we have to show is σ =id C r
متن کاملIntegral Formulas for the Asymmetric Simple Exclusion Process
In this paper we obtain general integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice Z with nearest neighbor hopping rates p to the right and q = 1−p to the left. For the most part we consider an N -particle system but for certain of these formulas we can take the N → ∞ limit. First we obtain, for the N -particle system, a formula for the ...
متن کاملFormulas for joint probabilities for the asymmetric simple exclusion process
In earlier work, the authors Tracy, C. A. and Widom, H., “Integral formulas for the asymmetric simple exclusion process,” Commun. Math. Phys. 279, 815 2008 obtained integral formulas for probabilities for a single particle in the asymmetric simple exclusion process. Here, formulas are obtained for joint probabilities for several particles. In the case of a single particle, the derivation here i...
متن کاملFormulas and Asymptotics for the Asymmetric Simple Exclusion Process
This is an expanded version of a series of lectures delivered by the second author in June, 2009. It describes the results of three of the authors’ papers on the asymmetric simple exclusion process, from the derivation of exact formulas for configuration probabilities, through Fredholm determinant representation, to asymptotics with step initial condition establishing KPZ universality. Although...
متن کاملTotally asymmetric simple exclusion process
Unlike equilibrium statistical mechanics non-equilibrium statistical mechanics (NESM) has no wellestablished framework. The totally asymmetric simple exclusion process (TASEP) is one of the few models available that try to meet the challenge of describing NESM. Here TASEP is presented in its simplest version. Further two biological applications on mRNA translation and molecular motors are prese...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2008
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0443-3