Article (Scientific journals)
Diffusion in nonuniform temperature and its geometric analog
Polettini, Matteo
2013In Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 87, p. 032126
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Keywords :
Nonequilibrium; Thermodynamics; Diffusion
Abstract :
[en] We propose a Langevin equation for systems in an environment with nonuniform temperature. At odds with an older proposal, ours admits a locally Maxwellian steady state, local equipartition holds, and for detailed-balanced (reversible) systems statistical and physical entropies coincide. We describe its thermodynamics, which entails a generalized version of the first law and Clausius's characterization of reversibility. Finally, we show that a Brownian particle constrained into a smooth curve behaves according to our equation, as if experiencing nonuniform temperature.
Disciplines :
Physics
Author, co-author :
Polettini, Matteo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Language :
English
Title :
Diffusion in nonuniform temperature and its geometric analog
Publication date :
12 March 2013
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
87
Pages :
032126
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 22 July 2013

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