Diffusing up the Hill: Dynamics and Equipartition in Highly Unstable Systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390218" target="_blank" >RIV/00216208:11320/18:10390218 - isvavai.cz</a>
Alternative codes found
RIV/68081731:_____/18:00497952 RIV/61989592:15310/18:73589706
Result on the web
<a href="https://doi.org/10.1103/PhysRevLett.121.230601" target="_blank" >https://doi.org/10.1103/PhysRevLett.121.230601</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevLett.121.230601" target="_blank" >10.1103/PhysRevLett.121.230601</a>
Alternative languages
Result language
angličtina
Original language name
Diffusing up the Hill: Dynamics and Equipartition in Highly Unstable Systems
Original language description
Stochastic motion of particles in a highly unstable potential generates a number of diverging trajectories leading to undefined statistical moments of the particle position. This makes experiments challenging and breaks down a standard statistical analysis of unstable mechanical processes and their applications. A newly proposed approach takes advantage of the local characteristics of the most probable particle motion instead of the divergent averages. We experimentally verify its theoretical predictions for a Brownian particle moving near an inflection in a highly unstable cubic optical potential. The most likely position of the particle atypically shifts against the force, despite the trajectories diverging in the opposite direction. The local uncertainty around the most likely position saturates even for strong diffusion and enables well-resolved position detection. Remarkably, the measured particle distribution quickly converges to a quasistationary one with the same atypical shift for different initial particle positions. The demonstrated experimental confirmation of the theoretical predictions approves the utility of local characteristics for highly unstable systems which can be exploited in thermodynamic processes to uncover energetics of unstable systems.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
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)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review Letters
ISSN
0031-9007
e-ISSN
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Volume of the periodical
121
Issue of the periodical within the volume
23
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
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UT code for WoS article
000451986100002
EID of the result in the Scopus database
2-s2.0-85057741706