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Chaotic force in Brownian motion

โœ Scribed by Toshihiro Shimizu


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
806 KB
Volume
195
Category
Article
ISSN
0378-4371

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๐Ÿ“œ SIMILAR VOLUMES


Relaxation and bifurcation in Brownian m
โœ Toshihiro Shimizu ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 796 KB

Brownian motion driven by a chaotic sequence of iterates of a map F(y), which may depend on a bifurcation parameter, is discussed: 6(t)= -yv(t)+ f(t), where f(t)= Kyn, ~ for nr < t <~ (n + 1)r (n = 0, 1,2 .... ) and y,,\_~ = F(y,,). The time evolution equation for the distribution function of the ve

Fractal structure and Gaussian distribut
โœ Toshihiro Shimizu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 604 KB

In Brownian motion driven by a chaotic sequence of iterates of a map F(y), x(t)= -yx(t) + f(t), where f(t) = y, +~/v~ for m-< t \_-< (n + 1)z (n = 1, 2 .... ) and y, +, = F(y,), the fractal structure and the z-dependence of the recurrence relation (x,+l, x,), where x, = x (t = nr), are studied. The

Brownian motion in shear flow
โœ M. San Miguel; J.M. Sancho ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB

The motion of a brownian particle in shear flow is exactly solved in phase space by means of an operator formalism. The solution is obtained as a particular case of a general solution for analogous problems.