publication . Preprint . 2000

Anomalous relaxation and self-organization in non-equilibrium processes

Fatkullin, Ibrahim; Kladko, Konstantin; Mitkov, Igor; Bishop, A. R.;
Open Access English
  • Published: 21 Aug 2000
Abstract
We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find, that our model exhibits dynamic self-organization manifested in a universal stretched-exponential form of relaxation. We identify two types of self-organization, cooperative and anti-cooperative, which lead to fast and slow relaxation, respectively. We give a qualitative explanation for the behavior of the stretched exponent in different parameter ranges. We emphasize that this is a system exhibiting stretched-exponential relaxation without explicit disorder or frustration.
Subjects
free text keywords: Condensed Matter - Statistical Mechanics, Condensed Matter - Materials Science, Condensed Matter - Soft Condensed Matter
Download from
27 references, page 1 of 2

[1] R. B. Laughlin and D. Pines. Proc. of Natl. Ac. of Sci. USA, 97:28, 2000.

[2] R. B. Laughlin, D. Pines, J. Schmalian, B. Stojkovich, and P. Wolynes. Proc. of Natl. Ac. of Sci. USA, 97:32, 2000.

[3] A. N. Kolmogorov. Cr. Acad. Sci. USSR, 30:301, 1941.

[4] N. Ookubo, H. Ono, Y. Ochiai, Y. Mochizuki, and S. Matsui. Appl. Phys. Lett., 61:940, 1992.

[5] R. Bohmer, K. L. Ngai, G. A. Angell, and D. J. Plazek. Journ. of Chem. Phys., 99:4201, 1993.

[6] T. A. Jackson, M. Lim, and P. A. Anfinrud. Chem. Phys., 180:131, 1994.

[7] J. Sabelko, J. Ervin, and M. Gruebelle. Proc. Natl. Acad. Sci. USA, 96:6031, 1999.

[8] H. Frauenfelder, S. G. Sligar, and P. G. Wolynes. Science, 254:1598, 1991.

[9] P. J. Steinbach et al. Biochemistry, 30:3988, 1991.

[10] H. Frauenfelder, P. G. Wolynes, and R. H. Austin. Rev. of Mod. Phys., 71:S419, 1999.

[11] A. D. Kent. private communication.

[12] T. W. Krause, A. Shi, and W. R. Datar. Physica C, 205:99, 1993.

[13] G. Kriza and G. Mihaly. Phys. Rev. Lett., 56:2529, 1986.

[14] K. Bijakovic, J. C. Asjaunias, P. Monceau, and F. Levy. Phys. Rev. Lett., 62:1512, 1989.

[15] M. Tatsumisago, B. L. Halfpap, J. L. Green, S. M. Lindsay, and C. A. Angell. Phys. Rev. Lett., 64:1549, 1990.

27 references, page 1 of 2
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue