Brownian motion in inhomogeneous suspensions
نویسندگان
چکیده
منابع مشابه
Brownian motion in inhomogeneous suspensions.
The Langevin description of Brownian motion in inhomogeneous suspensions is here revisited. Inhomogeneous suspensions are characterized by a position-dependent friction coefficient, which can significantly influence the dynamics of the suspended particles. Outstanding examples are suspensions in confinement or in the presence of a temperature gradient. The Langevin approach in inhomogeneous sys...
متن کاملSlowdown for time inhomogeneous branching Brownian motion
We consider the maximal displacement of one dimensional branching Brownian motion with (macroscopically) time varying profiles. For monotone decreasing variances, we show that the correction from linear displacement is not logarithmic but rather proportional to T . We conjecture that this is the worse case correction possible.
متن کاملNonergodic subdiffusion from Brownian motion in an inhomogeneous medium.
Nonergodicity observed in single-particle tracking experiments is usually modeled by transient trapping rather than spatial disorder. We introduce models of a particle diffusing in a medium consisting of regions with random sizes and random diffusivities. The particle is never trapped but rather performs continuous Brownian motion with the local diffusion constant. Under simple assumptions on t...
متن کاملSlowdown in branching Brownian motion with inhomogeneous variance
We consider the distribution of the maximum MT of branching Brownian motion with time-inhomogeneous variance of the form σ(t/T ), where σ(·) is a strictly decreasing function. This corresponds to the study of the time-inhomogeneous Fisher–KolmogorovPetrovskii-Piskunov (FKPP) equation Ft(x, t) = σ (1− t/T )Fxx(x, t)/2 + g(F (x, t)), for appropriate nonlinearities g(·). Fang and Zeitouni (2012) s...
متن کاملColloidal suspensions, Brownian motion, molecular reality: a short history
In the first decade of the 20th century, nearly a hundred years of work on the phenomenon of Brownian motion culminated in theory and experiments that demonstrated irrefutably the discontinuous or molecular nature of matter. Colloidal suspensions and the phenomenon of Brownian motion thus became the key to confirmation of the ‘new world-view’ of statistical mechanics, the statistical basis of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2013
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.87.062110