In particular, no oscillations of the mean-square particle displacement arise in a Jeffreys fluid, which is a nonremovable artifact of the theory of Brownian motion in a Maxwell fluid. The developed approach can to be used also consider the diffusion of particles in other complex fluids whose ...
On the theory of brownian motion 来自 Semantic Scholar 喜欢 0 阅读量: 342 作者: P Mazur 摘要: It is shown that the non-Gaussian-Markoff process for Brownian motion derived on a statistical mechanical basis by Prigogine and Balescu, and Prigogine and Philippot, is related through a ...
Molecular theory of Brownian motion for several particles. Deutch J M,Oppenheim I. The Journal of Chemical Physics . 1971J. M. Deutch and I. Oppenheim, Molecular theory of Brownian motion for several particles, J. Chem. Phys., 54 (1971), pp. 3547-3555....
With the motivation of studying the diffusive propagation of massive particles in crystals with defects, we develop a theory of Brownian motion of a massive particle, including the effects of inertia, in spaces with curvature and torsion. This is done with the help of a recently discovered nonhol...
摘要: N 1930, Ornstein and one of us1 tried to summarize and partially extend the existing theory of the Brownian motion for simple systems like the free particle and the harmonic oscillator. Since that time the theory has been 'developed and clarified to a considerable extent, so...
W. Coffey, Development and application of the theory of Brownian motion, Dynamical processes in condensed matter, ed. M.W.Evans. (Wiley,NewYork,1985).W.T. Coffey (1985). Development and application of the theory of Brownian motion, Adv. Chem. Phys., 63, 69....
is shown that the operator corresponding to l = 0 has zero for a point eigenvalue (the eigenfunction is the Maxwell distribution). There are no other point eigenvalues and the continuous spectrum of all of the operators is the entire negative real axis. Some consequences are briefly discussed....
Einstein's theory of Brownian motion is revisited in order to formulate a generalized kinetic theory of anomalous diffusion. It is shown that if the assumptions of analyticity and the existence of the second moment of the displacement distribution are relaxed, the fractional derivative naturally ...
On the theory of brownian motion It is shown that the non-Gaussian-Markoff process for Brownian motion derived on a statistical mechanical basis by Prigogine and Balescu, and Prigogine and... P Mazur - 《Physica》 被引量: 1423发表: 1959年 On the Theory of the Brownian Motion II N 1930...
On the theory of brownian motion to the process obtained by Prigogine e.a. in their statistical theory of irreversible processes (in which action-angle variables are used) for a system ... P Mazur - 《Physica》 被引量: 1422发表: 1959年 Statistical theory of irreversible processes Brownian ...