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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 3, Pages 370–378
DOI: https://doi.org/10.4213/tmf8476 (Mi tmf8476) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Calculation of correlation functions in totally asymmetric exactly solvable models on a ring

N. M. Bogolyubov

St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia
Full-text PDF (387 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8476
Abstract: We consider exactly solvable totally asymmetric models of low-dimensional nonequilibrium statistical physics on a periodic chain, namely, the totally asymmetric simple exclusion process and the totally asymmetric simple zero-range process. We describe the method for calculating correlation functions for the models on a periodic lattice and represent scalar products of state vectors of the model as determinants.
Keywords: asymmetric process, integrable system, correlation function.
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 3, Pages 755–762
DOI: https://doi.org/10.1007/s11232-013-0061-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. M. Bogolyubov, “Calculation of correlation functions in totally asymmetric exactly solvable models on a ring”, TMF, 175:3 (2013), 370–378; Theoret. and Math. Phys., 175:3 (2013), 755–762
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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