https://doi.org/10.1140/epjb/e2003-00112-9
Fluctuation induced reconstruction of phase transition
Modeling of Complex Systems Dept., Sumy State University, 2,
Rimskii-Korsakov St, 40007 Sumy, Ukraine
Corresponding author: a dikh@sumdu.edu.ua
Received:
13
November
2002
Published online:
11
April
2003
Within mean field approximation, a procedure is elaborated to consider noise induced phase transitions with arbitrary relations between the noises of different degrees of freedom. The proposed approach is applied to investigate effects of cross correlation between noises in the generalized synergetic model of Lorenz type. This cross correlation is shown to induce phase transitions of the dynamical system under consideration. Additionally, we find the correlation between noises transforms a synergetic behavior to a thermodynamic one.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise and Brownian motion / 47.20.Ky – Nonlinearity (including bifurcation theory)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
