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Kramers turnover in class of thermodynamically open systems: Effect of interplay of nonlinearity and noises
A system-reservoir nonlinear coupling model has been proposed for a situation
where the reservoir is nonlinearly driven by an external Gaussian stationary
noise which exposes the system particles to a nonequilibrium environment. Apart
from the internal thermal noise, the thermodynamically open system encounters
two other noises that are multiplicative in nature. Langevin equation derived
from the resulting composite system contains the essential features of the
interplay between these noise processes. Based on the numerical simulation of
the full model potential, we show that one can recover the turnover features of
the Kramers dynamics even when the reservoir is modulated nonlinearly by an
external noise.Comment: 7 pages, 2 figure
Pushing up the daisies
When components of an interacting dynamical system (such as organs within an organism, or daisies within the Daisyworld model) have a limited range of viability to changes in some essential variable, intuition suggests that increasing any individual range of viability will also increase viability in the context of the whole system. We show circumstances in which the reverse is true
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