Brownian particle in non-equilibrium plasma

Abstract

The stationary distribution function of Brownian particles in a nonequilibrium dusty plasma is calculated with regard to electron and ion absorption by grains. The distribution is shown to be considerably different from the distribution function of ordinary Brownian particles in thermal equilibrium. A criterion for the grain-structure formation in a nonequilibrium dusty plasma is derived.

A Suggested Answer To Wallstrom's Criticism: Zitterbewegung Stochastic Mechanics II

“…Moreover, we should expect the 'strength' of the non-separability (i.e., the inter-particle correlations) of U to be proportional to the strength of the classical interactions between the particles. (As it turns out, a dust grain undergoing Brownian motion in a nonequilibrium plasma induces an electrostatic osmotic potential from the plasma through an analogous mechanism to what we've sketched here [14]; moreover, the corresponding Fokker-Planck equation for the stationary probability distribution in velocity space is formally equivalent to Eq. ( 5) here.…”

“…This would, of course, change the gauge symmetries of QED and QCD, but not in a way that can be experimentally discerned at energy scales above these lower-bounds [56]. 14 The single different prediction appears to be that this Dirac sea pilot-wave model predicts fermion number conservation, whereas the Standard Model predicts a violation of fermion number for sufficiently high energies (so-called anomalies of the Standard Model). To the best of our knowledge, no evidence has been found for fermion number violation thus far [57].…”

Potential Energy Analysis for a System of Interacting Particles Arranged in a Bravais Lattice

“…It may be noticed that all vectors are treated as column vectors.ρ is mean particle density here. To get better intuitive understanding how to compute (16) one may check example II A for ρ sp from (12). It may be shown that presented series are actually Fourier series for ρ sp and ρ is periodic along vectors a, b and c (appendix VI B).…”

“…It seems to be the most challenging problem to treat Coulomb-like systems with high concentrations of interacting particles [8]. When concentration increases, one can observe crystallization-like phenomena and transition between different lattice symmetries [9][10][11][12][13].…”

Statistical description of the system electrons on the liquid helium surface

“…Another interesting side of studying electrons on liquid helium is that this system is a representative of class of systems with long-range resembling Coulomb interaction. Dusty plasmas, systems of colloidal particles, electrolyte solutions significantly differ from each other by physical properties, but their inter-particle interaction causes formation of structures of one type, concerning the formation of stable periodical structures [4,[22][23][24][25][26][27][28]. Thus, we can expect that methods applicable to twodimensional electron systems also can be useful for description of other systems of mentioned type.…”