Abstract
The values of a new universal parameter characterizing a nonequilibrium critical behavior, namely, the fluctuation-dissipation ratio specifying a fundamental relation between the dynamic response function and the correlation function, are calculated for the disordered three-dimensional Ising model. The analysis of the two-time dependence for autocorrelation functions and the ac susceptibility for the systems with spin densities p = 1.0, 0.8, and 0.6 shows the aging effects characterized by the anomalous slowing of relaxation in the system with the growth of the waiting time and the violation of the fluctuation-dissipation theorem. To improve the accuracy of the ac susceptibility calculations, the “thermal bath” technique has been used without introducing the applied magnetic field in the simulation. It has been shown that the structural defects lead to the pronounced enhancement of the aging effects.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Henkel and M. Pleimling, in Non-Equilibrium Phase Transitions (Springer, Heidelberg, 2010), p. 2.
N. Afzal and M. Pleimling, Phys. Rev. E 87, 012114 (2013).
L. Berthier and J. Kurchan, Nature Phys. 9, 310 (2013).
P. Calabrese and A. Gambassi, J. Phys. A 38, R133 (2005).
L. Berthier, P. C. W. Holdsworth, and M. Sellitto, J. Phys. A 34, 1805 (2001).
G. N. Bochkov and Yu. E. Kuzovlev, Phys. Usp. 56, 590 (2013).
P. Calabrese and A. Gambassi, Phys. Rev. B 66, 212407 (2002).
J. P. Nilmeier, G. E. Crooks, D. D. L. Minh, and J. D. Chodera, Pro. Natl. Acad. Sci. 108, E1009 (2011).
G. N. Bochkov and Yu. E. Kuzovlev, Sov. Phys. JETP 45, 125 (1977).
G. E. Crooks, J. Stat. Phys. 90, 1481 (1998).
C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997).
V. V. Prudnikov, P. V. Prudnikov, I. A. Kalashnikov, and C. C. Tsirkin, J. Exp. Theor. Phys. 106, 1095 (2008).
V. V. Prudnikov, P. V. Prudnikov, I. A. Kalashnikov, and M. V. Rychkov, J. Exp. Theor. Phys. 110, 253 (2010).
P. V. Prudnikov and D. N. Kulikov, JETP Lett. 93, 103 (2011).
V. V. Prudnikov, P. V. Prudnikov, A. N. Vakilov, and A. S. Krinitsyn, J. Exp. Theor. Phys. 105, 371 (2007).
V. V. Prudnikov, P. V. Prudnikov, A. S. Krinitsyn, A. N. Vakilov, E. A. Pospelov, and M. V. Rychkov, Phys. Rev. E 81, 011130 (2010).
P. V. Prudnikov and M. A. Medvedeva, Progr. Theor. Phys. 127, 369 (2012).
N. Rosov, C. Hohenemser, and M. Eibschutz, Phys. Rev. B 46, 3452 (1992).
P. Calabrese and A. Gambassi, Phys. Rev. E 66, 066101 (2002).
F. Ricci-Tersenghi, Phys. Rev. E 68, 065104 (2003).
C. Chatelain, J. Stat. Mech., P06006 (2004).
W. Janke, in Lecture Notes in Physics (Springer, Berlin, 2008), vol. 739, p. 79.
H. K. Janssen, B. Schaub, and B. Schmittmann, Z. Phys. B 73, 539 (1989).
A. Jaster, J. Mainville, L. Schülke, and B. Zheng, J. Phys. A 32, 1395 (1999).
V. V. Prudnikov, P. V. Prudnikov, and A. N. Vakilov, Theoretical Description Methods of Non-Equilibrium Critical Behavior of Structurally Disordered Systems (Fizmatlit, Moscow, 2013) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © P.V. Prudnikov, V.V. Prudnikov, E.A. Pospelov, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 98, No. 10, pp. 693–699.
Rights and permissions
About this article
Cite this article
Prudnikov, P.V., Prudnikov, V.V. & Pospelov, E.A. Calculation of the fluctuation-dissipation ratio for the nonequilibrium critical behavior of disordered systems. Jetp Lett. 98, 619–625 (2014). https://doi.org/10.1134/S0021364013230100
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364013230100