Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems

Eunghyun Lee

doi:10.1007/s10955-011-0139-5

Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems

Eunghyun Lee

University of California at Davis

Результат исследований › рецензирование

6 Цитирования (Scopus)

Аннотация

This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche process and the asymmetric zero range process. The time-integrated currents of the asymmetric avalanche process and the asymmetric zero range process are immediate from the results of the asymmetric simple exclusion process.

Язык оригинала	English
Страницы (с-по)	643-656
Число страниц	14
Журнал	Journal of Statistical Physics
Том	142
Номер выпуска	4
DOI	https://doi.org/10.1007/s10955-011-0139-5
Состояние	Published - февр. 2011
Опубликовано для внешнего пользования	Да

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-011-0139-5

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abstract = "This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche process and the asymmetric zero range process. The time-integrated currents of the asymmetric avalanche process and the asymmetric zero range process are immediate from the results of the asymmetric simple exclusion process.",

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KW - Asymmetric simple exclusion process

KW - Bethe ansatz

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