Brownian motion surviving in the unstable cubic potential and the role of Maxwell's demon

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10385538" target="_blank" >RIV/00216208:11320/18:10385538 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15310/18:73587147
Result on the web
<a href="https://doi.org/10.1103/PhysRevE.97.032127" target="_blank" >https://doi.org/10.1103/PhysRevE.97.032127</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.97.032127" target="_blank" >10.1103/PhysRevE.97.032127</a>

Result language
angličtina
Original language name
Brownian motion surviving in the unstable cubic potential and the role of Maxwell's demon
Original language description
The trajectories of an overdamped particle in a highly unstable potential diverge so rapidly, that the variance of position grows much faster than its mean. A description of the dynamics by moments is therefore not informative. Instead, we propose and analyze local directly measurable characteristics, which overcome this limitation. We discuss the most probable particle position (position of the maximum of the probability density) and the local uncertainty in an unstable cubic potential, V (x) similar to x(3), both in the transient regime and in the long-time limit. The maximum shifts against the acting force as a function of time and temperature. Simultaneously, the local uncertainty does not increase faster than the observable shift. In the long-time limit, the probability density naturally attains a quasistationary form. We interpret this process as a stabilization via the measurement-feedback mechanism, the Maxwell demon, which works as an entropy pump. The rules for measurement and feedback naturally arise from the basic properties of the unstable dynamics. All reported effects are inherent in any unstable system. Their detailed understanding will stimulate the development of stochastic engines and amplifiers and, later, their quantum counterparts.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)