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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (8) 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)
S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” Sov. Phys. Usp. 34 (3) 217–229 (1991)
A.Yu. Grosberg “Disordered polymers” Phys. Usp. 40 125–158 (1997)
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)
M.I. Vysotskii “Supersymmetric models of elementary particles—the physics for new-generation accelerators?” Sov. Phys. Usp. 28 667–693 (1985)
Yu.L. Klimontovich “Nonlinear Brownian motion” Phys. Usp. 37 737–766 (1994)
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)
A.I. Olemskoi “Self-consistent theory of localization within site and wave approaches” Phys. Usp. 39 651–668 (1996)
V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” Phys. Usp. 60 857–885 (2017)
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)
Yu.G. Rudoi, A.D. Sukhanov “Thermodynamic fluctuations within the Gibbs and Einstein approaches” Phys. Usp. 43 1169–1199 (2000)
D.S. Gorbunov, S.L. Dubovskii, S.V. Troitskii “Gauge mechanism of mediation of supersymmetry breaking” Phys. Usp. 42 623 (1999)
A.P. Gerasev “Nonequilibrium thermodynamics of autowave processes in a catalyst bed” Phys. Usp. 47 991–1016 (2004)
A.I. Olemskoi “Theory of stochastic systems with singular multiplicative noise” Phys. Usp. 41 269–301 (1998)
V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems” Phys. Usp. 54 441–464 (2011)
Yu.L. Klimontovich “Problems in the statistical theory of open systems: Criteria for the relative degree of order in self-organization processes” Sov. Phys. Usp. 32 416–433 (1989)

The list is formed automatically.