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

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.

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/
Web of Science

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

References (93) Cited by (9) Similar articles (20) ↓

A.I. Olemskoi, I.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems” Phys. Usp. 38 1061–1097 (1995)
V.S. Dotsenko “Universal randomness” Phys. Usp. 54 259–280 (2011)
A.I. Olemskoi, I.A. Sklyar “Evolution of the defect structure of a solid during plastic deformation” Sov. Phys. Usp. 35 (6) 455–480 (1992)
O.G. Bakunin “Stochastic instability and turbulent transport. Characteristic scales, increments, diffusion coefficients” Phys. Usp. 58 252–285 (2015)
Yu.L. Klimontovich “Nonlinear Brownian motion” Phys. Usp. 37 737–766 (1994)
S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” Sov. Phys. Usp. 34 (3) 217–229 (1991)
V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems” Phys. Usp. 54 441–464 (2011)
A.M. Glezer, R.V. Sundeev et al “Physics of severe plastic deformation” Phys. Usp. 66 32–58 (2023)
I.M. Dremin, O.V. Ivanov, V.A. Nechitailo “Wavelets and their uses” Phys. Usp. 44 447–478 (2001)
K.G. Selivanov “Counting vacua in supersymmetric Yang-Mills theory” Phys. Usp. 45 675–686 (2002)
V.M. Zhdanov, V.I. Roldugin “Non-equilibrium thermodynamics and kinetic theory of rarefied gases” Phys. Usp. 41 349–378 (1998)
A.V. Khomenko, I.A. Lyashenko “Statistical theory of the boundary friction of atomically flat solid surfaces in the presence of a lubricant layer” Phys. Usp. 55 1008–1034 (2012)
V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” Phys. Usp. 60 857–885 (2017)
M.I. Vysotskii “Supersymmetric models of elementary particles—the physics for new-generation accelerators?” Sov. Phys. Usp. 28 667–693 (1985)
Yu.V. Gulyaev, A.S. Bugaev et al “Nanotransport controlled by means of the ratchet effect” Phys. Usp. 63 311–326 (2020)
L.M. Martyushev “Мaximum entropy production principle: history and current status” Phys. Usp. 64 558–583 (2021)
A.I. Olemskoi, A.Ya. Flat “Application of fractals in condensed-matter physics” Phys. Usp. 36 (12) 1087–1128 (1993)
A.A. Slavnov “Supersymmetric gauge theories and their possible applications to the weak and electromagnetic interactions” Sov. Phys. Usp. 21 240–251 (1978)
V.S. Vikhrenko “Theory of depolarized molecular light scattering” Sov. Phys. Usp. 17 558–576 (1975)
A.Yu. Grosberg “Disordered polymers” Phys. Usp. 40 125–158 (1997)

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