Abstract
The influence of periodic perturbation on the system of two nonlinear stochastic equations, which model low-frequency pulsations in crisis and transient modes of heat-and-mass transfer with phase transitions, has been investigated by numerical methods. When studying the influence of the periodic perturbation on the system, a researcher should largely take into account the phase diagram. It is shown that nonequilibrium phase transitions from asymmetric cycles of phase trajectories to centrally symmetric ones occur in the absence of noise. These transitions are accompanied by the stochastic resonance response, which enhances as the frequency of the external periodic force decreases.
Similar content being viewed by others
References
Yu. L. Klimontovich, Statistic Theory of Open Systems (Yanus, Moscow, 1995) [in Russian].
B. B. Mandelbrot and J. W. Van Ness, SLAM Rev. 10, 422 (1968).
A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions (Nauka, Moscow, 1982) [in Russian].
A. N. Kolmogorov, Dokl. Akad. Nauk 30(4), 299 (1941).
P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38(1), 364 (1988).
V. N. Skokov, V. P. Koverda, and A. V. Reshetnikov, Phys. Lett. A 263, 430 (1999).
V. N. Skokov, V. H. Koverda, A. V. Reshetnikov, V. P. Skripov, N. A. Mazheiko, and A. V. Vinogradov, Int. J. Heat Mass Transfer 46, 1879 (2003).
V. P. Koverda and V. N. Skokov, Physica A: Stat. Mech. Appl. 346(3/4), 203 (2005).
V. P. Koverda and V. N. Skokov, Doklady Phys. 57(6), 229 (2012).
V. N. Skokov and V. P. Koverda, Doklady Phys. 58(8), 343 (2013).
V. P. Koverda and V. N. Skokov, Doklady Phys. 58(10), 433 (2013).
V. S. Anishchenko, A. B. Neiman, F. Moss, and L. Shimanskii-Gaier, Usp. Fiz. Nauk 169(1), 7 (1999).
F. Apostolico, L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. E 55(1), 36 (1997).
N. V. Agudov and A. V. Krichigin, Int. J. Bifurcat. Chaos 18(9), 2833 (2008).
V. S. Anishchenko, M. V. Anufrieva, and T. E. Vladivasova, Tech. Phys. Lett. 32(10), 873 (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.P. Koverda, V.N. Skokov, 2014, published in Doklady Akademii Nauk, 2014, Vol. 457, No. 1, pp. 32–36.
Rights and permissions
About this article
Cite this article
Koverda, V.P., Skokov, V.N. Coupled phase transitions under periodic perturbation. Dokl. Phys. 59, 291–294 (2014). https://doi.org/10.1134/S1028335814070039
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335814070039