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Evaluation of diffusion coefficients in multicomponent mixtures by means of the fluctuation theory
Shapiro, A.A. - In: Physica A: Statistical Mechanics and its Applications 320 (2003) C, pp. 211-234
derivation is based on the general statistical theory of fluctuations around an equilibrium state. The matrix of diffusion …
Persistent link: https://www.econbiz.de/10010871762
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Simple molecular mechanisms of heat transfer: Debye relaxation versus power-law
Gall, Monika; Kutner, Ryszard - In: Physica A: Statistical Mechanics and its Applications 352 (2005) 2, pp. 347-378
We study a simple molecular model (at a coarse-grain level) as a basis of irreversible heat transfer through a diathermic partition. The partition separates into two adjacent parts a box containing ideal point particles that communicate only through this partition. We provide the basic mechanism...
Persistent link: https://www.econbiz.de/10010588920
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Heat flux in Rayleigh–Bénard convection
Shibata, Hiroshi - In: Physica A: Statistical Mechanics and its Applications 352 (2005) 2, pp. 335-346
We calculate the heat conductivity of the turbulence induced in the Rayleigh–Bénard convection. We show that the heat conductivity becomes large as we increase the temperature difference between the top and the bottom plates, i.e., the strength of the turbulence. We can easily see that the...
Persistent link: https://www.econbiz.de/10010591080
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Hamiltonian model of heat conductivity and Fourier law
Gruber, Christian; Lesne, Annick - In: Physica A: Statistical Mechanics and its Applications 351 (2005) 2, pp. 358-372
We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with fixed temperatures T+ and T-. It is shown that Fourier law...
Persistent link: https://www.econbiz.de/10010591858
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Microscopic explanation of non-Debye relaxation for heat transfer
Fronczak, Agata; Fronczak, Piotr; Hołyst, Janusz A. - In: Physica A: Statistical Mechanics and its Applications 375 (2007) 2, pp. 571-576
We give a microscopic explanation of both Debye and non-Debye thermalization processes that have been recently reported by Gall and Kutner [Physica A 352 (2005) 347]. Due to reduction of the problem to first passage phenomena we argue that relaxation functions f(t) introduced by the authors...
Persistent link: https://www.econbiz.de/10011060636
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Kinetic theory of colloid thermodiffusion
Bringuier, E.; Bourdon, A. - In: Physica A: Statistical Mechanics and its Applications 385 (2007) 1, pp. 9-24
The Kramers’ equation of Brownian motion is applied to investigate the motion of a colloidal particle in a medium subjected to a temperature gradient. The equation is generalized in two ways. First, a chemical force is included in order to account for the non-ideality of the colloidal...
Persistent link: https://www.econbiz.de/10010873727
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Thermodiffusion: From kinetics to stochastics
Debbasch, F.; Rivet, J.P. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 10, pp. 2048-2062
The Boltzmann transport equation is used to obtain new effective stochastic descriptions of dilute gas diffusion in presence of temperature gradients. It is found that temperature gradients not only introduce a thermophoresis force, but also substantially modify the friction and noise acting on...
Persistent link: https://www.econbiz.de/10010874496
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Scaling theory of polymer thermodiffusion
Bringuier, E. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 21, pp. 4545-4551
thermodiffusion of polymers and is shown to account for (i) the existence of both signs of the thermodiffusion coefficient of long …
Persistent link: https://www.econbiz.de/10010589659
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Gauge-invariant approach to thermodiffusion in a liquid binary mixture
Bringuier, E. - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 11, pp. 1861-1875
The paper aims at a molecular understanding of thermodiffusion (the Ludwig–Soret effect) in a liquid binary mixture. To … thermodiffusion. The force driving thermodiffusion arises from Onsager’s reciprocity theorem in non-equilibrium thermodynamics: it is … explicit kinetic expression is given of the force driving thermodiffusion; it involves the interaction cross-section of the two …
Persistent link: https://www.econbiz.de/10010591077
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Thermodiffusion of rigid particles in pure liquids
Lhuillier, Daniel - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 7, pp. 1221-1233
Thermodiffusion of particles suspended in a pure liquid is a thorny problem which has not yet received a solution … relative to the carrier fluid. Focussing on thermodiffusion, we show that the osmotic pressure is irrelevant and that … thermodiffusion cannot have but two distinct origins : the temperature dependence of the stress associated with the distorted particle …
Persistent link: https://www.econbiz.de/10010591840