The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line
Autor: | Harold Widom, Craig A. Tracy |
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Rok vydání: | 2013 |
Předmět: |
Work (thermodynamics)
Bose gas math-ph FOS: Physical sciences math.PR 01 natural sciences Bethe ansatz math.MP 0103 physical sciences Physical Sciences and Mathematics FOS: Mathematics 0101 mathematics 010306 general physics Finite set Mathematical Physics Mathematical physics Mathematics Boson Probability (math.PR) 010102 general mathematics Statistical and Nonlinear Physics Mathematical Physics (math-ph) Function (mathematics) Asymmetric simple exclusion process 60K35 Line (geometry) Mathematics - Probability |
Zdroj: | Tracy, Craig A.; & Widom, Harold. (2012). The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line. J. Statistical Physics (2013) 150:1-12. doi: 10.1007/s10955-012-0686-4. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/26g1d7xf |
ISSN: | 1572-9613 0022-4715 |
Popis: | In this paper we find explicit formulas for: (1) Green's function for a system of one-dimensional bosons interacting via a delta-function potential with particles confined to the positive half-line; and (2) the transition probability for the one-dimensional asymmetric simple exclusion process (ASEP) with particles confined to the nonnegative integers. These are both for systems with a finite number of particles. The formulas are analogous to ones obtained earlier for the Bose gas and ASEP on the line and integers, respectively. We use coordinate Bethe Ansatz appropriately modified to account for confinement of the particles to the half-line. As in the earlier work, the proof for the ASEP is less straightforward than for the Bose gas. Comment: 14 Pages |
Databáze: | OpenAIRE |
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