TITLE

Complex motion of Brownian particles with energy supply

AUTHOR(S)
Ebeling, W.; Erdmann, U.; Schimansky-Geier, L.; Schweitzer, F.
PUB. DATE
February 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p183
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study a model of Brownian particles which are pumped with energy by means of a non-linear friction function. Analytical solutions of the corresponding Fokker-Planck equation are presented and compared with computer simulations. Different to the case of passive Brownian motion, we find several new features of the dynamics, such as the formation of limit cycles, a large mean squared displacement which increases quadratically with the energy supply, or non-equilibrium velocity distributions with crater-like form. In the four-dimensional phase space, the corresponding distribution has the form of two hoops or two tires. Further, the general features of motion in arbitrary two-dimensional potentials are discussed within a diffusion approximation. © 2000 American Institute of Physics.
ACCESSION #
6028563

 

Related Articles

  • Alpha particle condensation in 12C and nuclear rainbow scattering. Ohkubo, S.; Hirabayashi, Y. // AIP Conference Proceedings;5/12/2008, Vol. 1012 Issue 1, p407 

    It is shown that the large radius of the Hoyle state of 12C with a dilute density distribution in an α particle condensate can be clearly seen in the shift of the rainbow angle (therefore the Airy minimum) to a larger angle in α+12C rainbow scattering at the high energy region and...

  • OPTIMAL INSPECTIONS IN A STOCHASTIC CONTROL PROBLEM WITH COSTLY OBSERVATIONS. Anderson, Robert F.; Friedman, Avner // Mathematics of Operations Research;May77, Vol. 2 Issue 2, p155 

    A Brownian motion z(t) is known to be developing in time with cost �(z(t)) per unit time. One chooses a sequence of times s[subn] in which to inspect the motion. If it is discovered that z(s[subn]) is in a given set A then we continue with the motion, whereas if z(s[subn]) is not in A then...

  • Brownian motion reflected on Brownian motion. Burdzy, Krzysztof; Nualart, David // Probability Theory & Related Fields;2002, Vol. 122 Issue 4, p471 

    We study Brownian motion reflected on an ``independent'' Brownian path. We prove results on the joint distribution of both processes and the support of the parabolic measure in the space-time domain bounded by a Brownian path. We show that there exist two different natural local times for a...

  • OPTIMAL INSPECTIONS IN A STOCHASTIC CONTROL PROBLEM WITH COSTLY OBSERVATIONS, II. Anderson, Robert F.; Friedman, Avner // Mathematics of Operations Research;Feb78, Vol. 3 Issue 1, p67 

    A Brownian motion ξ(t) is developing in time with cost ƒ(ξ(t) per unit time. It is assumed that ξ(t)=(x(t),y(t)) where x(t) and y(t) are independent Brownian motions. The component x(t) is being continuously observed, whereas the position of y(t) can be discovered only by making...

  • Long-lived states of oscillator chains with dynamical traps. Lubashevsky, I. A.; Mahnke, R.; Hajimahmoodzadeh, M.; Katsnelson, A. // European Physical Journal B -- Condensed Matter;Mar2005, Vol. 44 Issue 1, p63 

    An oscillator chain with dynamical traps and additive white noise is considered. Its dynamics are studied numerically. New type nonequilibrium phase transitions are shown to arise in the case when the trap effect is pronounced. Locally they manifest themselves in distortion of the symmetry of...

  • Weighted BMO and discrete time hedging within the Black-Scholes model. Geiss, Stefan // Probability Theory & Related Fields;May2005, Vol. 132 Issue 1, p13 

    The paper combines two objects rather different at first glance: spaces of stochastic processes having weighted bounded mean oscillation (weighted BMO) and the approximation of certain stochastic integrals, driven by the geometric Brownian motion, by integrals over piece-wise constant...

  • Representation of Quantum Brownian Motion in the Collective Coordinate Method. Oksak, A. I.; Sukhanov, A. D. // Theoretical & Mathematical Physics;Jul2003, Vol. 136 Issue 1, p994 

    We consider two explicitly solvable models of quantum random processes described by the Langevin equation, namely, those for a “free” quantum Brownian particle and for a quantum Brownian harmonic oscillator. The Hamiltonian (string) realization of the models reveals a soliton-like...

  • Tracking the Oscillations of a Single Qubit by Means of Sequential Measurements. Konrad, Thomas; Audretsch, Jergen // AIP Conference Proceedings;2004, Vol. 734 Issue 1, p111 

    We present a scheme to detect Rabi oscillations of a single two-level system in real time. The scheme is based on a sequence of consecutive measurements (sequential measurement). A measure of the strength of the sequential measurement can be obtained from the decoherence rate induced by the...

  • Scaling behavior of a nonlinear oscillator with additive noise, white and colored. Mallick, K.; Marcq, P. // European Physical Journal B -- Condensed Matter;Feb2003, Vol. 31 Issue 4, p553 

    : We study analytically and numerically the problem of a nonlinear mechanical oscillator with additive noise in the absence of damping. We show that the amplitude, the velocity and the energy of the oscillator grow algebraically with time. For Gaussian white noise, an analytical expression for...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics