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Brownian diffusion in a nonuniform gas
Journal of Statistical Physics, 1971An analysis is made of the effects on the diffusion of Brownian particles whose Knudsen number is large compared to unity, of nonuniformities in the host gas. As examples, in one type of nonuniformity of the host gas, the Chapman-Enskog velocity distribution function for the gas molecules is used; in the other, the host gas is a free-molecule Couette ...
W. G. N. Slinn, S. F. Shen
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Brownian motors in nonlinear diffusive media
Physical Review E, 2007We investigate the performance of Brownian motors in environments governed by the "porous medium" equation partial differential(t)rho = D partial differential(x) (rho(nu-1) partial differential(x)rho), where rho is the density and D and nu positive constants.
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Brownian Diffusion in a Dilute Dispersion of Droplets
Journal of Colloid and Interface Science, 1999An analytical study of Brownian motion in a dispersion of fluid drops is considered. The droplets, which are spherical and may differ in radius, are assumed to be close enough to interact hydrodynamically. Based on Einstein's description of Brownian motion that invokes an equilibrium and in which droplets are affected by a thermodynamic force, the ...
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DIFFUSION PROCESSES WITH RESPECT TO FREE BROWNIAN MOTION
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2000We prove the existence, uniqueness and Markov property for SDE of diffusion type in the context of the stochastic analysis on the free Fock space introduced in Ref. 1.
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Brownian motion and diffusion of spins
Physics Letters A, 1968Abstract An analogy has been drawn between the description of particle diffusion in gases or liquids and spin diffusion in ferromagnets.
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Osmosis, Diffusion and Brownian Motion
1969In 1748 Nollet showed that if an animal bladder was used to separate water and alcohol, water passed through the bladder into the alcohol but no alcohol passed through the bladder into the water. The bladder is said to possess a property of selective transmission and it may be considered to consist of a mesh of such a size that small particles such as ...
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