Stochastic dynamics on irreversible nonequilibrium environments.4. self-consistent coupling in heterogeneous environments

Article Abstract:

Research is presented describing irreversible nonequilibrium environments and its stochastic dynamics.

Irreversible processes, Irreversible processes (Thermodynamics)

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A phenomenological model for surface diffusion: Diffusive dynamics across incoherent stochastic aperiodic potentials

Article Abstract:

The dynamics of Brownian particles diffusing across a one-dimensional, incoherent stochastic potential of mean force in the Smoluchowski regime is investigated. A phenomenological equation of motion that extends this representation throughout the friction regime and extends it to the low-friction regime relevant to surface diffusion is developed.

Science & research, Stochastic analysis, Brownian motion

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The fluctuation-dissipation relation

Article Abstract:

A study on chemical reactions in fluids was conducted to construct a general class of valid irreversible generalized Langevin equations (iGLE) assuming there is a constant and fixed temperature. It will be shown that the random force and non-stationary friction kernel in this iGLE system, whose stochastic dynamics are driven by an irreversible change in the response of an environment, satisfy a generalization of the fluctuation-dissipation relation.

Chemical reactions, Solution (Chemistry), Solutions (Chemistry), Skin friction (Fluid dynamics)

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