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

R. Folk^a, Yu. Holovatch^b, T. Yavorskii^c
^aInstitut für Theoretische Physik, Johannes Kepler Universität, Altenbergerstr. 69, Linz, A-4040, Austria
^bInstitute for Condensed Matter Physics, National Academy of Sciences of Ukraine, ul. Svientsitskii 1, Lviv, 79011, Ukraine
^cIvan 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.

PACS: 11.10.Gh, 61.43.−j, 64.60.Ak (all)
DOI: 10.1070/PU2003v046n02ABEH001077
URL: https://ufn.ru/en/articles/2003/2/c/
Web of Science

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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (128) Similar articles (20) ↓

V.S. Dotsenko “Critical phenomena and quenched disorder” Phys. Usp. 38 457–496 (1995)
I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev “Monte Carlo studies of phase transitions and critical phenomena” Phys. Usp. 42 689–709 (1999)
I.K. Kamilov, Kh.K. Aliev “Ultrasonic studies of the critical dynamics of magnetically ordered crystals” Phys. Usp. 41 865–884 (1998)
A.A. Vladimirov, D.V. Shirkov “The renormalization group and ultraviolet asymptotics” Sov. Phys. Usp. 22 860–878 (1979)
V.V. Prudnikov, P.V. Prudnikov, M.V. Mamonova “Nonequilibrium critical behavior of model statistical systems and methods for the description of its features” Phys. Usp. 60 762–797 (2017)
V.S. Dotsenko “Universal randomness” Phys. Usp. 54 259–280 (2011)
A.I. Gusev “Nonstoichiometry and superstructures” Phys. Usp. 57 839–876 (2014)
G.V. Kozlov, V.U. Novikov “A cluster model for the polymer amorphous state” Phys. Usp. 44 681–724 (2001)
V.V. Brazhkin, A.G. Lyapin “Universal viscosity growth in metallic melts at megabar pressures: the vitreous state of the Earth’s inner core” Phys. Usp. 43 493–508 (2000)
D.K. Belashchenko “Diffusion mechanisms in disordered systems: computer simulation” Phys. Usp. 42 297–319 (1999)
A.Yu. Morozov “Anomalies in gauge theories” Sov. Phys. Usp. 29 993–1039 (1986)
I.M. Sokolov “Dimensionalities and other geometric critical exponents in percolation theory” Sov. Phys. Usp. 29 924–945 (1986)
A.S. Mikhailov, I.V. Uporov “Critical phenomena in media with breeding, decay, and diffusion” Sov. Phys. Usp. 27 695–714 (1984)
N.P. Kobelev, V.A. Khonik “A novel view of the nature of formation of metallic glasses, their structural relaxation, and crystallization” Phys. Usp. 66 673–690 (2023)
A.I. Vainshtein, I.B. Khriplovich “Renormalizable models of the electromagnetic and weak interactions” Sov. Phys. Usp. 17 263–275 (1974)
M.V. Sadovskii “Electron localization in disordered systems: critical behavior and macroscopic manifestations” Sov. Phys. Usp. 24 96–115 (1981)
A.I. Olemskoi, A.Ya. Flat “Application of fractals in condensed-matter physics” Phys. Usp. 36 (12) 1087–1128 (1993)
A.A. Likal’ter “Gaseous metals” Sov. Phys. Usp. 35 (7) 591–605 (1992)
V.I. Alkhimov “The self-avoiding walk problem” Sov. Phys. Usp. 34 (9) 804–816 (1991)
I.V. Andreev “Chromodynamics as a theory of the strong interaction” Sov. Phys. Usp. 29 971–979 (1986)

The list is formed automatically.