Reviews of topical problems

Nonequilibrium critical behavior of model statistical systems and methods for the description of its features

, ,
Omsk State University, prosp. Mira 55a, Omsk, 644077, Russian Federation

This paper reviews the features of far-from-equilibrium critical behavior of macroscopic systems and present current methods of describing them using model statistical systems such as the three-dimensional Ising model and the two-dimensional XY-model. The paper examines the critical relaxation of homogeneous and structurally disordered systems subject to abnormally strong fluctuation effects involved in ordering processes in solids at second order phase transitions. Interest in such systems is due to the aging properties and fluctuation-dissipation theorem violations predicted for and observed in systems slowly evolving from a nonequilibrium initial state. It is shown that these features of nonequilibrium behavior show up in the magnetic properties of magnetic superlattices consisting of alternating nanoscale-thick magnetic and nonmagnetic layers and can be observed not only near the film's critical ferromagnetic ordering temperature Tc, but also over the wide temperature range T ≤ Tc.

Text can be downloaded in Russian. English translation is available here.
Keywords: phase transitions and critical phenomena, nonequilibrium behavior, systems with slow dynamics, disordered systems, aging effects, fluctuation—dissipation ratio, multilayered magnetic structures, Monte Carlo simulations
PACS:, 64.60.Cn, 64.60.Ht (all)
DOI: 10.3367/UFNe.2017.02.038067
Citation: Prudnikov V V, Prudnikov P V, Mamonova M V "Nonequilibrium critical behavior of model statistical systems and methods for the description of its features" Phys. Usp. 60 762–797 (2017)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 14th, September 2016, 7th, February 2017

Оригинал: Прудников В В, Прудников П В, Мамонова М В «Особенности неравновесного критического поведения модельных статистических систем и методы их описания» УФН 187 817–855 (2017); DOI: 10.3367/UFNr.2017.02.038067

References (105) Cited by (12) Similar articles (20) ↓

  1. I.K. Kamilov, Kh.K. Aliev “Ultrasonic studies of the critical dynamics of magnetically ordered crystals41 865–884 (1998)
  2. V.S. Dotsenko “Critical phenomena and quenched disorder38 457–496 (1995)
  3. V.L. Pokrovskii “Similarity hypothesis in the theory of phase transitions11 66–74 (1968)
  4. V.N. Ryzhov, E.E. Tareyeva et alBerezinskii—Kosterlitz—Thouless transition and two-dimensional melting60 857–885 (2017)
  5. A.A. Katanin, V.Yu. Irkhin “Magnetic order and spin fluctuations in low-dimensional insulating systems50 613–635 (2007)
  6. A.I. Gusev “Order-disorder transformations and phase equilibria in strongly nonstoichiometric compounds43 1–37 (2000)
  7. E.I. Kut’in, V.L. Lorman, S.V. Pavlov “Methods of the theory of singularities in the phenomenology of phase transitions34 (6) 497–514 (1991)
  8. V.G. Vaks, V.I. Zinenko, V.E. Schneider “Microscopic theories of order-disorder structural phase transitions in crystals26 1059–1086 (1983)
  9. V.F. Khirnyi, A.A. Kozlovskii “Dynamic dissipative mixed states in inhomogeneous type II superconductors47 273–288 (2004)
  10. M.A. Anisimov “Investigations of critical phenomena in liquids18 722–744 (1975)
  11. M.I. Polikarpov “Fractals, topological defects, and confinement in lattice gauge theories38 591–607 (1995)
  12. M.Yu. Kagan, A.V. Turlapov “BCS—BEC crossover, collective excitations, and hydrodynamics of superfluid quantum fluids and gases62 215–248 (2019)
  13. E.N. Avrorin, B.K. Vodolaga et alIntense shock waves and extreme states of matter36 (5) 337–364 (1993)
  14. S.M. Stishov “Entropy, disorder, melting31 52–67 (1988)
  15. A.Z. Patashinskii, V.L. Pokrovskii “The renormalization-group method in the theory of phase transitions20 31–54 (1977)
  16. S.M. Stishov “The thermodynamics of melting of simple substances18 625–643 (1975)
  17. E.Z. Meilikhov “Structural features, critical currents and current-voltage characteristics of high temperature superconducting ceramics36 (3) 129–151 (1993)
  18. V.L. Ginzburg “The scattering of light near points of phase transition in solids5 649–660 (1963)
  19. I.L. Fabelinskii “Spectra of molecular light scattering and some of their applications37 821–858 (1994)
  20. I.V. Kukushkin, V.B. Timofeev “Magneto-optics of two-dimensional electron systems in the ultraquantum limit: incompressible quantum liquids and the Wigner crystal36 (7) 549–571 (1993)

The list is formed automatically.

© 1918–2019 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions