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Supersymmetric field theory of a nonequilibrium stochastic system as applied to disordered heteropolymers


Sumy State University, ul. Rimskogo-Korsakova 2, Sumy, 244007, Ukraine

A supersymmetric field-theoretical scheme is derived based on the Langevin equation, which enables memory and nonergodicity effects in a nonequilibrium stochastic system with quenched disorder to be described in an optimal manner. This scheme is applied to a disordered heteropolymer whose effective Hamiltonian is found to be simply the free energy as a function of the compositional order parameter. Instead of the Langevin equation, an effective equation of motion is used here to describe the way different monomers alternate as we move along a polymer chain. The isothermal and adiabatic susceptibilities, memory parameter, and irreversible response are determined as functions of the temperature and the intensity of quenched disorder.

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Fulltext is also available at DOI: 10.1070/PU2001v044n05ABEH000921
PACS: 05.40.−a, 05.70.Ln, 11.30.Pb, 61.41.+e (all)
DOI: 10.1070/PU2001v044n05ABEH000921
URL: https://ufn.ru/en/articles/2001/5/b/
000170938900002
Citation: Olemskoi A I "Supersymmetric field theory of a nonequilibrium stochastic system as applied to disordered heteropolymers" Phys. Usp. 44 479–513 (2001)
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Оригинал: Олемской А И «Суперсимметричная теория неравновесной стохастической системы в приложении к неупорядоченным гетерополимерам» УФН 171 503–538 (2001); DOI: 10.3367/UFNr.0171.200105b.0503

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