# Complex motion of Brownian particles with energy supply

## Related Articles

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It is shown that the large radius of the Hoyle state of 12C with a dilute density distribution in an Î± particle condensate can be clearly seen in the shift of the rainbow angle (therefore the Airy minimum) to a larger angle in Î±+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 ï¿½(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 Î¾(t) is developing in time with cost Æ’(Î¾(t) per unit time. It is assumed that Î¾(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 â€œfreeâ€ 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...