Stochastic dissipative solitons.

S. Mangioni,R. Deza

Published 2015 in Physical review. E, Statistical, nonlinear, and soft matter physics

ABSTRACT

By the effect of aggregating currents, some systems display an effective diffusion coefficient that becomes negative in a range of the order parameter, giving rise to bistability among homogeneous states (HSs). By applying a proper multiplicative noise, localized (pinning) states are shown to become stable at the expense of one of the HSs. They are, however, not static, but their location fluctuates with a variance that increases with the noise intensity. The numerical results are supported by an analytical estimate in the spirit of the so-called solvability condition.

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