BROWNIAN-MOTION WITH THE EXPOSURE TIME CONTROL

Authors
SOKOLOVSKI D
Citation
D. Sokolovski, BROWNIAN-MOTION WITH THE EXPOSURE TIME CONTROL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1457-1462
Citations number
19
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
2
Year of publication
1996
Pages
1457 - 1462
Database
ISI
SICI code
1063-651X(1996)54:2<1457:BWTETC>2.0.ZU;2-M
Abstract
We solve a classical analog of the quantum traversal time problem. The classical diffusion equation is modified to control the amount of tim e spent by a particle in a specified region of space. The ''clocked'' diffusion equation is solved for an ensemble of Brownian particles con fined in a closed volume. Long term behavior of the exposure time dist ribution is analyzed. A general recipe for including time control into fieldlibe equations of motion describing evolution of a physical syst em is proposed.