Tracer diffusivity in a time- or space-dependent temperature field

Europhysics Letters

Volumn 59, Issue 6, 2002, Pages 800-806

  Golestanian, R ^a,b,c   Ajdari, A ^b  

^a INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

^b Centre National de la Recherche Scientifique   (France)

^c INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036740859     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2002-00113-x     Document Type: Article

References (15)

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2. Schimpf M. E. and Semenov S. N., J. Phys. Chem. B, 104 (2000) 9935.
3. Van Den Berg A., OLTHUIS W. and Bergveld P. (Editors), Micro Total Analysis Systems 2000 (Kluwer Academic Publishers, Dordrecht) 2000; Ramsey J. M. and Van Den Berg A. (Editors), Micro Total Analysis Systems 2001 (Kluwer Academic Publishers, Dordrecht) 2001.
4. Van Den Berg A., Olthuis W. and Bergveld P. (Editors), Micro Total Analysis Systems 2000 (Kluwer Academic Publishers, Dordrecht) 2000; Ramsey J. M. and Van Den Berg A. (Editors), Micro Total Analysis Systems 2001 (Kluwer Academic Publishers, Dordrecht) 2001.
5. Stroock A. D. and Whitesides G., Phys. Today, 54 (2001) 42.
6. Roos D., Gaitan M. and Locascio L. E., in Micro Total Analysis Systems 2001, edited by Ramsey J. M. and Van Den Berg A. (Kluwer Academic Publishers, Dordrecht) 2001, p. 239.
7. This is clearly a much simpler model than the one used to study critical anomalies of thermal diffusivity and kinematic viscosity in Meron E. and Procaccia I., Phys. Rev. A, 30 (1984) 3221.
8. For a recent review on fluctuations in non-equilibrium steady states, see Schmitz R., Phys. Rep., 171 (1988) 1.
9. For the regular term that implies a local and instantaneous application of Einstein's relation in a temperature field with spatial and temporal heterogeneity, see Hauge E. H. and Martin-Löf A., J. Stat. Phys., 7 (1973) 259.
10. Landau L. D. and Lifshitz E. M., Fluid Mechanics, 2nd edition (Pergamon, Oxford) 1987.
11. For a discussion on other choices of noise correlation in the context of turbulence, see L'vov V. and Procaccia I., in Fluctuating Geometries in Statistical Mechanics and Field Theory, edited by David F., Ginsparg P. and Zinn-Justin J. (Elsevier, Amsterdam) 1996.
12. The integral expression is also useful to extract symmetry properties of the mobility tensor, such as the (factor of 2) anisotropy in the friction coefficient for a slender object. For related arguments in the analogous case of electrostatic response coefficients such as capacitance and polarizability, see Golestanian R., Phys. Rev. E, 62 (2000) 5242.
13. The example focuses on the anisotropic contributions in the universal term caused by global anisotropy in the temperature field. The specific reference is made to spherical tracers only because their regular diffusivity is isotropic and thus they will be good candidates for detecting any possible anisotropy that originates from the non-local term. This, of course, does not mean that the results only apply to the case of spherical tracers.
14. Tremblay A. M., Arai M. and Sigcia E. D., Phys. Rev. A, 23 (1981) 1451.
15. Porion P. et al., Phys. Rev. Lett., 87 (2001) 208302.