Reference : Diffusion in nonuniform temperature and its geometric analog
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/10993/4010
Diffusion in nonuniform temperature and its geometric analog
English
Polettini, Matteo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
12-Mar-2013
Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics
American Physical Society
87
032126
Yes (verified by ORBilu)
International
1539-3755
1550-2376
College Park
MD
[en] Nonequilibrium ; Thermodynamics ; Diffusion
[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.
http://hdl.handle.net/10993/4010
10.1103/PhysRevE.87.032126
http://link.aps.org/doi/10.1103/PhysRevE.87.032126

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