PMID: 11308711Apr 20, 2001Paper

Dynamic phase transition in a time-dependent Ginzburg-Landau model in an oscillating field

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hirokazu FujisakaPer Arne Rikvold

Abstract

The Ginzburg-Landau model below its critical temperature in a temporally oscillating external field is studied both theoretically and numerically. As the frequency or the amplitude of the external field is changed, a nonequilibrium phase transition is observed. This transition separates spatially uniform, symmetry-restoring oscillations from symmetry-breaking oscillations. Near the transition a perturbation theory is developed, and a switching phenomenon is found in the symmetry-broken phase. Our results confirm the equivalence of the present transition to that found in Monte Carlo simulations of kinetic Ising systems in oscillating fields, demonstrating that the nonequilibrium phase transition in both cases belongs to the universality class of the equilibrium Ising model in zero field. This conclusion is in agreement with symmetry arguments [G. Grinstein, C. Jayaprakash, and Y. He, Phys. Rev. Lett. 55, 2527 (1985)] and recent numerical results [G. Korniss, C. J. White, P. A. Rikvold, and M. A. Novotny, Phys. Rev. E 63, 016120 (2001)]. Furthermore, a theoretical result for the structure function of the local magnetization with thermal noise, based on the Ornstein-Zernike approximation, agrees well with numerical results in one ...Continue Reading

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Citations

Oct 6, 2016·PloS One·Ali HosseinyMauro Gallegati
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H Jang, M J Grimson
Feb 26, 2016·Nature Communications·Takuya Higuchi, Makoto Kuwata-Gonokami
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katsuya OuchiHirokazu Fujisaka
Dec 12, 2012·Physical Review Letters·Hyunhang Park, Michel Pleimling
Apr 26, 2006·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A K BandyopadhyayVenkatraman Gopalan
Mar 17, 2017·Physical Review. E·Timothée LeleuKazuyuki Aihara
Apr 6, 2019·Physical Review Letters·Steven Mathey, Sebastian Diehl
Apr 4, 2017·Physical Review Letters·P RiegoA Berger
Jul 18, 2018·Physical Review. E·Erol Vatansever, Nikolaos G Fytas
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mustafa KeskinUmit Temizer
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D T RobbM A Novotny
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naoya FujiwaraHirokazu Fujisaka
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Visarath InAndy Kho
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katsuya OuchiHirokazu Fujisaka
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomoaki YasuiHirokazu Fujisaka
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katsuya OuchiHirokazu Fujisaka
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Daniel T Robb, Aaron Ostrander
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sreedhar B Dutta
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naoya FujiwaraHirokazu Fujisaka
Dec 31, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G M Buendía, P A Rikvold
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G KornissM A Novotny
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Visarath InBruno Ando
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mustafa KeskinBayram Deviren
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A R BulsaraJ W C Robinson

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