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 transformation of variables to the Gaussian-Markoff process of the conventional phenomenological theory of Brownian motion. Fir...
Theory of the Linear Fokker‐Planck Collision Operator C. H. Su Journal of Mathematical Physics Feb 1967 The linearized Fokker-Planck collision integral with coulomb interaction is expanded in terms of surface spherical harmonics. The radial part of the distribution function is shown to be governed ...
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: 1424发表: 1959年 On the theory of brownian motionV. The spectrum ...
We used an all discrete approach, where no assumptions or approximations about the surface topography are required, interpreted the surfaces as graphs and applied the theory of random walks on graphs28. Although not always acknowledged, it is well-known that there is substantial variability in the...
Investigations on the Theory of the Brownian Movement (Courier Corporation, Dover, 1954). Google Scholar Einstein, A. On the movement of small particles suspended in a stationary liquid demanded by the molecular-kinetic theory of heat. Annalen der Physik 17, 549–560 (1905). Article ADS CAS...
N. W. McLachlan,Theory and Application of Mathieu Functions (Oxford, 1947). 6.E. T. Whittaker and G. N. Watson,A Course of Modem Analysis, 4th ed., (Cambridge, 1952), Chapter XIX. About this Article Title On the brownian motion of a frequencymodulated oscillator Journal Journal of ...
BROWNIAN motion processesDISTRIBUTION (Probability theory)Thcs problem of finding the power of the hypothesis test of no drift versus the alternative of positive linear drift in a one-dimensional Brownian motion process is considered. The tests are based on an observed sample of first passage or ...
We construct a “Brownian motion” taking values in the Sierpinski gasket, a fractal subset of ℝ2, and study its properties. This is a diff
Einstein's kinetic theory of the Brownian motion, based upon light water molecules continuously bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. Since the discovery of quantum mechanics it has been a challenge to verify the emergence of diffusion from the...
This was not known from the beginning: it took some experimenting and theorizing to suggest this hypothesis, but now it is accepted, and it is the most useful theory for producing new ideas in the field of biology. If a piece of steel or a piece of salt, consisting of atoms one next ...