Vn. Skokov et Vp. Koverda, Self-organization of a critical state and 1/f fluctuations caused by the interaction of phase transitions in a distributed system, TECH PHYS L, 26(10), 2000, pp. 900-902
A mathematical model is proposed that describes the appearance of fluctuati
ons with a spectral density inversely proportional to the frequency as a re
sult of the intersection of phase transitions in a spatially inhomogeneous
system. The model is represented by a set of two nonlinear stochastic diffe
rential equations with mutually interacting order parameters. It is demonst
rated that a random walk in the model potential field corresponding to the
intersecting sub- and supercritical phase transitions may lead to the self-
organization of a critical state and the appearance of fluctuations with a
1/f spectral density. (C) 2000 MAIK "Nauka/Interperiodica".