Theory of hot brownian motion

Soft Matter

Volumn 7, Issue 7, 2011, Pages 3441-3452

  Rings, Daniel ^a   Selmke, Markus ^a   Cichos, Frank ^a   Kroy, Klaus ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL RESULTS; BROWNIAN MOTION; COLLOIDAL PARTICLE; EFFECTIVE TEMPERATURE; EQUILIBRIUM PHENOMENA; GENERALIZED THEORY; MARKOVIAN; MATHEMATICAL FORMULATION; NON-EQUILIBRIUM PHENOMENA; SIMPLIFIED MODELS; SOLVENT MOLECULES; THEORETICAL EXPLANATION; THERMAL FLUCTUATIONS; VISCOSITY PARAMETERS;

VISCOSITY;

BROWNIAN MOVEMENT;

EID: 79955837059     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c0sm00854k     Document Type: Article

References (43)

1. M. Haw, Middle World: The Restless Heart of Matter and Life, Macmillan, New York, 2006.
2. E. Frey and K. Kroy, Ann. Phys., 2005, 14, 20-50.
3. M. von Smoluchowski, Ann. Phys., 1906, 326, 756-780.
4. A. Einstein, Ann. Phys., 1905, 322, 549-560.
5. P. Langevin, C.R. Acad. Sci. (Paris), 1908, 146, 530-533.
6. W. T. Coffey, Y. P. Kalmykov and J. T. Waldron, The Langevin Equation, With Applications to Stochastic Problems in Physics, Chemistry and Electrical Engineering, World Scientific Series in Contemporary Chemical Physics, 2nd edn, 2004, vol. 14.
7. C. W. Gardiner, Stochastic methods: a handbook for the natural and social sciences, Springer, 2009.
8. B. Lukić, S. Jeney, C. Tischer, A. J. Kulik, L. Forró and E.-L. Florin, Phys. Rev. Lett., 2005, 95, 160601.
9. J. A. McLennan, Introduction to Non-Equilibrium Statistical Mechanics, Prentice Hall, Englewood Cliffs, 1988.
10. R. Zwanzig, Nonequilibrium Statistical Mechanics, Oxford University Press, USA, 2001.
11. A. J. Banchio, J. Gapinski, A. Patkowski, W. Häußler, A. Fluerasu, S. Sacanna, P. Holmqvist, G. Meier, M. P. Lettinga and G. Nägele, Phys. Rev. Lett., 2006, 96, 138303.
12. S. Martin, M. Reichert, H. Stark and T. Gisler, Phys. Rev. Lett., 2006, 97, 248301.
13. J. Dunkel and P. Hänggi, Phys. Rep., 2009, 471, 1-73.
14. R. Golestanian and A. Ajdari, Europhys. Lett., 2002, 59, 800.
15. T. Speck and U. Seifert, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2009, 79, 040102.
16. V. Blickle, T. Speck, C. Lutz, U. Seifert and C. Bechinger, Phys. Rev.Lett., 2007, 98, 210601.
17. F. Ritort, Adv. Chem. Phys., 2008, 137, 31-123.
18. P. M. Hansen, V. K. Bhatia, N. Harrit and L. Oddershede, Nano Lett., 2005, 5, 1937-1942.
19. H. Cang, C. M. Wong, C. S. Xu, A. H. Rizvi and H. Yang, Appl. Phys. Lett., 2006, 88, 223901.
20. X. Nan, P. A. Sims and X. S. Xie, ChemPhysChem, 2008, 9, 707-712.
21. X. Huang and M. A. El-Sayed, Journal of Advanced Research, 2010, 1, 13-28.
22. D. Lasne, G. A. Blab, S. Berciaud, M. Heine, L. Groc, D. Choquet, L. Cognet and B. Lounis, Biophys. J., 2006, 91, 4598-4604.
23. S. Berciaud, L. Cognet, G. A. Blab and B. Lounis, Phys. Rev. Lett., 2004, 93, 257402.
24. R. Radünz, D. Rings, K. Kroy and F. Cichos, J. Phys. Chem. A, 2009, 113, 1674-1677.
25. A. Würger, Phys. Rev. Lett., 2007, 98, 138301.
26. R. Piazza, Soft Matter, 2008, 4, 1740-1744.
27. R. Prasher, P. Bhattacharya and P. E. Phelan, Phys. Rev. Lett., 2005, 94, 025901.
28. T. M. Squires and S. R. Quake, Rev. Mod. Phys., 2005, 77, 977.
29. D. Rings, R. Schachoff, M. Selmke, F. Cichos and K. Kroy, Phys. Rev. Lett., 2010, 105, 090604.
30. A. Mohan and H. Brenner, SIAM J. Appl. Math., 2006, 66, 787-801.
31. L. Landau, E. Lifshits and L. Pitaevskii, Statistical physics, part 2, Butterworth-Heinemann, 1980.
32. R. F. Fox and G. E. Uhlenbeck, Physics of Fluids, 1970, 13, 1893-1902.
33. T. S. Chow and J. J. Hermans, J. Chem. Phys., 1972, 56, 3150-3154.
34. E. H. Hauge and A. Martin-Löf, J. Stat. Phys., 1973, 7, 259-281.
35. P. Keblinski and J. Thomin, Phys. Rev. E, 2006, 73, 010502.
36. E. M. Lifshitz and L. P. Pitaevskii, Fluid Mechanics, Elsevier, Oxford, 2004.
37. See also e. g., Keblinski & Thomin,35 who show that "the timeintegrated response of the velocity field around a Brownian particle has exactly the same distance dependence as the velocity field around a particle moving with a constant velocity".
38. A. J. Levine and T. C. Lubensky, Phys. Rev. E, 2001, 65, 011501.
39. D. Frenkel, in Soft Condensed Matter Physics in Molecular and Cell Biology, ed. W. Poon and D. Andelman, Taylor & Francis, New York, 2006, ch. 2, p. 19f.
40. P. Lançon, G. Batrouni, L. Lobry and N. Ostrowsky, Europhys. Lett., 2001, 54, 28.
41. J. Blawzdziewicz and S. Bhattacharya, Europhys. Lett., 2003, 63, 789.
42. S. Revathi and V. Balakrishnan, J. Phys. A: Math. Gen., 1993, 26, 5661-5673.
43. M. J. Schnitzer, Phys. Rev. E, 1993, 48, 2553-2568.