Dynamics of Stochastic Systems
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Dynamics of Stochastic Systems
Publisher: Elsevier | Pages: 212 | 2005-12-15 | ISBN 0444517960 | DJVU | 2 MB
Publisher: Elsevier | Pages: 212 | 2005-12-15 | ISBN 0444517960 | DJVU | 2 MB
Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent atmosphere.
Such models naturally render to statistical description, where the input parameters and solutions are expressed by random processes and fields.
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