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This paper is devoted to generalize some previous results presented in Gaioli et al., Int. J. Theor. Phys. 36, 2167 (1997). We evaluate the autocorrelation function of the stochastic acceleration and study the asymptotic evolution of the…

量子物理 · 物理学 2007-05-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez , Diego G. Arbo

The motion of a Brownian particle in the presence of Coulomb friction and an asymmetric spatial potential was evaluated in this study. The system exhibits a ratchet effect, i.e., an average directed motion even in the absence of an external…

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

统计力学 · 物理学 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

A typical model for a gyrating engine consists of an inertial wheel powered by an energy source that generates an angle-dependent torque. Examples of such engines include a pendulum with an externally applied torque, Stirling engines, and…

We study the simplest irreversible ballistically-controlled reaction, whereby particles having an initial continuous velocity distribution annihilate upon colliding. In the framework of the Boltzmann equation, expressions for the exponents…

统计力学 · 物理学 2009-11-07 Emmanuel Trizac

Vertical movement of zirconia-yttria stabilized 2 mm balls is measured by a laser facility at the surface of a vibrated 3D granular matter under gravity. Realizations z(t) are measured from the top of the container by tuning the fluidized…

统计力学 · 物理学 2008-03-12 J. E. Fiscina , M. O. Caceres

Recently, dispersionless (coherent) motion of (noninteracting) massive Brownian particles, at intermediate time scales, was reported in a sinusoidal potential with a constant tilt. The coherent motion persists for a finite length of time…

统计力学 · 物理学 2015-05-13 S. Saikia , Mangal C. Mahato

Rectification of interacting Brownian particles is investigated in a two-dimensional asymmetric channel in the presence of an external periodic driving force. The periodic driving force can break the thermodynamic equilibrium and induces…

软凝聚态物质 · 物理学 2021-07-19 Narender Khatri , P. S. Burada

Fractional Brownian motion is a non-Markovian Gaussian process $X_t$, indexed by the Hurst exponent $H$. It generalises standard Brownian motion (corresponding to $H=1/2$). We study the probability distribution of the maximum $m$ of the…

统计力学 · 物理学 2015-11-25 Mathieu Delorme , Kay Joerg Wiese

This article reports the modeling of inertial rotational Brownian motion as an Ornstein-Uhlenbeck process evolving on the cotangent bundle of the rotation group, SO(3). The benefit of this approach and the use of a different…

统计力学 · 物理学 2023-03-14 Amitesh S. Jayaraman , Jikai Ye , Gregory S. Chirikjian

Fractional Brownian motion is a non-Markovian Gaussian process indexed by the Hurst exponent $H\in [0,1]$, generalising standard Brownian motion to account for anomalous diffusion. Functionals of this process are important for practical…

统计力学 · 物理学 2021-11-24 Tridib Sadhu , Kay Jörg Wiese

Properties of transport of molecular motors are investigated. A simplified model based on the concept of Brownian ratchets is applied. We analyze a stochastic equation of motion by means of numerical methods. The transport is systematically…

统计力学 · 物理学 2011-12-07 Lukasz Machura , Marcin Kostur , Jerzy Luczka

Within the framework of the homogeneous non-linear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asymptotic solutions. This method permits extension of existing…

统计力学 · 物理学 2009-11-11 M. H. Ernst , E. Trizac , A. Barrat

A novel non-reactive thrust principle based on controlling the angular momentum of a material body is proposed. Theoretically, it is shown that asymmetric emission/absorption of low-energy particle fluxes with spin in a direction…

科普物理 · 物理学 2025-10-28 Yury N. Razoumny , Sergei A. Kupreev

The paper presents a statistical model which reproduces the results of Monte Carlo simulations to estimate the parameters of the gravitational wave signal from a coalesing binary system. The model however is quite general and would be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. Balasubramanian , S. V. Dhurandhar

We consider fractional Brownian motion with the Hurst parameters from (1/2,1). We found that the increment of a fractional Brownian motion can be represented as the sum of a two independent Gaussian processes one of which is smooth in the…

概率论 · 数学 2015-10-14 Nikolai Dokuchaev

A system of one-dimensional Brownian motions (BMs) conditioned never to collide with each other is realized as (i) Dyson's BM model, which is a process of eigenvalues of hermitian matrix-valued diffusion process in the Gaussian unitary…

概率论 · 数学 2007-11-29 Makoto Katori , Hideki Tanemura

Parametric resonance can produce particles from oscillating scalar field, where an exponential growth of the particle number density can be developed. While it has been noticed that stimulated decay in Boltzmann equations exhibits similar…

高能物理 - 唯象学 · 物理学 2025-08-06 Shao-Ping Li

We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in…

The same system can exhibit a completely different dynamical behavior when it evolves in equilibrium conditions or when it is driven out-of-equilibrium by, e.g., connecting some of its components to heat baths kept at different…

统计力学 · 物理学 2022-08-09 S. Cerasoli , S. Ciliberto , E. Marinari , G. Oshanin , L. Peliti , L. Rondoni
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