It is shown that, in contrast to the classical Langevin force, quantum mechanics is driven by turbulent velocity fluctuations with diffusive behavior. In the case of simultaneous action of the thermal and quantum noises, the quantum Brownian motion is described as well....
The theory of Brownian motion of a quantum oscillator is developed. The Brownian motion is described by a model Hamiltonian which is taken to be the one describing the interaction between this oscillator and a reservoir. Use is made of the master equation recently derived by the author, to obt...
An intuitive treatment of Brownian motion is described, mainly based on the Langevin and generalized Smoluchowsky equation. It is assumed that spherical particles undergo Brownian forces as well as mutual hydrodynamic and intreparticle interactions when in thermal equilibrium. The velocity auto-correlatio...
Under the assumption that the empirical velocity distribution of the small particles is governed by a probability density ψ, the mean-field force can be represented as the negative gradient of a scaled version of ψ. The stochastic motion is described by a system of stochastic ordinary ...
Brownian motion- the random motion of small particles suspended in a gas or liquid Brownian movement,pedesis motion,movement- a natural event that involves a change in the position or location of something Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farle...
The Probability Space of Brownian Motion英文资料.pdf,Chapter 2 The Probability Space of Brownian Motion 2.1 Introduction According to Einstein’s description, the Brownian motion can be defined by the following two properties: first, it has continuou
The mutual information between a stochastic signal and this signal plus a fractional Brownian motion (described as an additive fractional Gaussian noise channel) is expressed as the error of an estimation problem that can be naturally associated with this model. If the stochastic signal with the add...
Brownian motion is a feature of colloidal particles immersed in a liquid-like environment. Usually, it can be described by means of the generalised Langevin equation (GLE) within the framework of the Mori theory. In principle, all quantities that appear in the GLE can be calculated from the ...
Along the magnetic field, the Brownian motion is exactly the same as that of the ordinary one-dimensional classical harmonic oscillator, which was very well described in Chandrasekhar's celebrated paper [Rev. Mod. Phys. 15, 1 (1943)]. Across the magnetic field, the stochastic process takes ...
This article is a personal reflection of the branch of nonequilibrium statistical mechanics called the linear response theory that has as its heart the fluctuation-dissipation thereom, which states that irreversible processes in nonequilibrium are necessarily related to thermal fluctuations in equilibrium....