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Effect of Fluctuation on Plane Front Propagation in Bistable Nonequilibrium Systems
Author(s) -
SchimanskyGeier L.,
Mikhailov A. S.,
Ebeling W.
Publication year - 1983
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19834950412
Subject(s) - bistability , front (military) , physics , position (finance) , dispersion (optics) , statistical physics , non equilibrium thermodynamics , spatial dispersion , plane (geometry) , classical mechanics , optics , mathematics , quantum mechanics , geometry , meteorology , finance , economics
A theory of front propagation in bistable stochastic media is developed. The effect of fluctuations is twofold: 1) they lead to random variations of the front shape. 2) they result in random motion of the front positions. Its general expression for the dispersion of the position for arbitrary stochastic noises with spatial correlation length l c and correlation time τ c is given. For rate functions with cubic nonlinearities the dispersion formula is further analysed.