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Critical exponents of a three-dimensional weakly diluted quenched Ising model

 a,  b,  c
a Institut für Theoretische Physik, Johannes Kepler Universität, Altenbergerstr. 69, Linz, A-4040, Austria
b Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, ul. Svientsitskii 1, Lviv, 79011, Ukraine
c Ivan Franko Lviv National University, Kirilla i Mefodiya str. 6, Lviv, 79005, Ukraine

Universal and nonuniversal critical exponents of a three-dimensional Ising system with weak quenched disorder are discussed. Experimental, computational, and theoretical results are reviewed. Particular attention is given to field-theoretical renormalization-group results. Different renormalization schemes are considered with emphasis on the analysis of the divergent series obtained.

Fulltext pdf (958 KB)
Fulltext is also available at DOI: 10.1070/PU2003v046n02ABEH001077
PACS: 11.10.Gh, 61.43.−j, 64.60.Ak (all)
DOI: 10.1070/PU2003v046n02ABEH001077
URL: https://ufn.ru/en/articles/2003/2/c/
000183400800003
Citation: Folk R, Holovatch Yu, Yavorskii T "Critical exponents of a three-dimensional weakly diluted quenched Ising model" Phys. Usp. 46 169–191 (2003)
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Оригинал: Фольк Р, Головач Ю, Яворский Т «Критические показатели трехмерной слабо разбавленной замороженной модели Изинга» УФН 173 175–200 (2003); DOI: 10.3367/UFNr.0173.200302c.0175

References (145) Cited by (133) Similar articles (20) ↓

  1. V.S. Dotsenko “Critical phenomena and quenched disorderPhys. Usp. 38 457–496 (1995)
  2. I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev “Monte Carlo studies of phase transitions and critical phenomenaPhys. Usp. 42 689–709 (1999)
  3. I.K. Kamilov, Kh.K. Aliev “Ultrasonic studies of the critical dynamics of magnetically ordered crystalsPhys. Usp. 41 865–884 (1998)
  4. V.S. Dotsenko “Universal randomnessPhys. Usp. 54 259–280 (2011)
  5. A.A. Vladimirov, D.V. Shirkov “The renormalization group and ultraviolet asymptoticsSov. Phys. Usp. 22 860–878 (1979)
  6. V.S. Dotsenko “Physics of the spin-glass statePhys. Usp. 36 (6) 455–485 (1993)
  7. V.V. Prudnikov, P.V. Prudnikov, M.V. Mamonova “Nonequilibrium critical behavior of model statistical systems and methods for the description of its featuresPhys. Usp. 60 762–797 (2017)
  8. I.M. Sokolov “Dimensionalities and other geometric critical exponents in percolation theorySov. Phys. Usp. 29 924–945 (1986)
  9. B.A. Klumov “Universal structural properties of three-dimensional and two-dimensional meltsPhys. Usp. 66 288–311 (2023)
  10. V.V. Brazhkin, A.G. Lyapin “Universal viscosity growth in metallic melts at megabar pressures: the vitreous state of the Earth’s inner corePhys. Usp. 43 493–508 (2000)
  11. M.V. Sadovskii “Electron localization in disordered systems: critical behavior and macroscopic manifestationsSov. Phys. Usp. 24 96–115 (1981)
  12. V.I. Alkhimov “Excluded volume effect in statistics of self-avoiding walksPhys. Usp. 37 527–561 (1994)
  13. A.I. Vainshtein, I.B. Khriplovich “Renormalizable models of the electromagnetic and weak interactionsSov. Phys. Usp. 17 263–275 (1974)
  14. I.M. Suslov “Development of a (4-ε)-dimensional theory for the density of states of a disordered system near the Anderson transitionPhys. Usp. 41 441–467 (1998)
  15. G.V. Kozlov, V.U. Novikov “A cluster model for the polymer amorphous statePhys. Usp. 44 681–724 (2001)
  16. D.K. Belashchenko “Diffusion mechanisms in disordered systems: computer simulationPhys. Usp. 42 297–319 (1999)
  17. A.I. Gusev “Nonstoichiometry and superstructuresPhys. Usp. 57 839–876 (2014)
  18. V.I. Alkhimov “The self-avoiding walk problemSov. Phys. Usp. 34 (9) 804–816 (1991)
  19. I.M. Lifshitz “Energy spectrum structure and quantum states of disordered condensed systemsSov. Phys. Usp. 7 549–573 (1965)
  20. V.A. Gritsenko “Structure of silicon/oxide and nitride/oxide interfacesPhys. Usp. 52 869–877 (2009)

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