Thermal ratchet effects in ferrofluids

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 5 1, 2004, Pages

  Engel, Andreas ^a,b   Reimann, Peter ^c  

^a Institut fur Physik   (Germany)

^b CNRS   (France)

^c BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; COLLOIDS; DIFFUSION; FERROMAGNETIC MATERIALS; FERROMAGNETISM; MAGNETIC FIELD EFFECTS; MAGNETIC MOMENTS; MAGNETOHYDRODYNAMICS; PROBLEM SOLVING; STATISTICAL METHODS; THERMAL EFFECTS; TORQUE CONTROL; VECTORS;

COLLOIDAL PARTICLES; FERROFLUIDS; MAGNETIZATION VECTORS; THERMAL FLUCTUATIONS;

HIGH ENERGY PHYSICS;

EID: 41349112702     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.051107     Document Type: Article

References (61)

1. A. Einstein, Ann. Phys. (Leipzig) 19, 371 (1906).
2. M. I. Shliomis, Sov. Phys. Usp. 17, 153 (1974).
3. R. E. Rosensweig, Ferrohydrvdynamics (Cambridge University Press, Cambridge, 1985).
4. J.-C. Bacri, A. Gebers, and R. Perzynski, Phys. Rev. Lett. 72, 2705 (1994).
5. A. V. Lebedev, A. Engel, and K. I. Morozov, New J. Phys. 5, 57 (2003).
6. J. P. McTague, J. Chem. Phys. 51, 133 (1969).
7. M. I. Shliomis and K. I. Morozov, Phys. Fluids 6, 2855 (1994).
8. F. Gazeau et al., Europhys. Lett. 35, 609 (1996).
9. H. W. Müller, Phys. Rev. Lett. 82, 3907 (1999).
10. A. Engel, H. W. Müller, P. Reimann, and A. Jung, Phys. Rev. Lett. 91, 060602 (2003).
11. J. C. Maxwell, Theory of Heat (Longmans, Green, and Co., London, 1871).
12. M. v. Smoluchowski, Phys. Z. 13, 1069 (1912).
13. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics-Vol. 1 (Addison-Wesley, Reading, 1963), Chap. 46.
14. Maxwell's Demon: Entropy, Information, Computing, edited by S. L. Harvey and A. F. Rex (Adam Hilger, Bristol, 1990).
15. P. Reimann, Phys. Rep. 361, 57 (2002).
16. R. D. Astumian and P. Hänggi, Phys. Today 55(11), 33 (2002).
17. M. O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993).
18. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
19. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) 370, 446 (1994).
20. H. Linke, Appl. Phys. A: Mater. Sci. Process. 75, 167-352 (2002).
21. H. Linke et al., Science 286, 2314 (1999).
22. I. Turcu and C. M. Lucaciu, J. Phys. A 22, 995 (1989).
23. P. Palffy-Muhoray and E. Weinan, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 320, 193 (1998).
24. S. Flach, A. E. Miroshnichenko, and A. A. Ovchinnikov, Phys. Rev. B 65, 104438 (2002).
25. W. T. Coffey, Y. P. Kalmykov, and J. T. Waldron, The Langevin Equation with Applications in Physics, Chemistry and Electrical Engineering, 2nd Ed. (World Scientific, Singapore, 1998).
26. F. Ritort, Phys. Rev. Lett. 80, 6 (1998).
27. Z. Wang, C. Holm, and H. W. Müller, Phys. Rev. E 66, 021405 (2002).
28. R. M. Mazo, Brownian Motion: Fluctuations, Dynamics, and Applications (Oxford University Press, Oxford, 2002).
29. See [25], Sec. 1.15.
30. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd Ed. (Pergamon, New York, 1984), Sec. 34.
31. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed. (Pergamon, New York, 1987), Sec. 20.
32. P. Debye, Polar Molecules (Chemical Catalog Company, New York, 1928).
33. M. Raible and A. Engel, Appl. Organomet. Chem. 18, 536 (2004).
34. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1984).
35. V. Becker and A. Engel (unpublished).
36. K. Seeger and W. Maurer, Solid State Commun. 27, 603 (1978).
37. D. R. Chialvo and M. M. Millonas, Phys. Lett. A 209, 26 (1995).
38. I. Goychuk and P. Hänggi, Europhys. Lett. 43, 503 (1998).
39. S. Flach, O. Yevtushenko, and Y. Zolotaryuk, Phys. Rev. Lett. 84, 2358 (2000).
40. M. A. Martsenyuk, Yu. L. Raikher, and M. I. Shliomis, Sov. Phys. JETP 38, 412 (1974).
41. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
42. L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981).
43. M. Chaichian and A. Demichev, Path Integrals in Physics (IOP Publishing, Bristol, 2001), Vol. 1.
44. J. Lehmann, P. Reimann, and P. Hänggi, Phys. Rev. Lett. 84, 1639 (2000); Phys. Rev. E 62, 6282 (2000); Phys. Status Solidi B 237, 53 (2003), and further references therein.
45. J. Lehmann, P. Reimann, and P. Hänggi, Phys. Rev. Lett. 84, 1639 (2000); Phys. Rev. E 62, 6282 (2000); Phys. Status Solidi B 237, 53 (2003), and further references therein.
46. J. Lehmann, P. Reimann, and P. Hänggi, Phys. Rev. Lett. 84, 1639 (2000); Phys. Rev. E 62, 6282 (2000); Phys. Status Solidi B 237, 53 (2003), and further references therein.
47. See [25], Chap. 9.
48. H. W. Müller and M. Liu, Phys. Rev. E 64, 061405 (2001).
49. T. Alarcon, A. Perez-Madrid, and J. M. Rubi, Phys. Rev. Lett. 85, 3995 (2000).
50. M. I. Shliomis, Phys. Rev. Lett. 92, 188901 (2004).
51. A. Engel and P. Reimann, Phys. Rev. Lett. 92, 188902 (2004).
52. P. Curie, J. Phys. (Paris) 3. Série (théorique et appliquẃ) till, 393 (1894).
53. A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994).
54. R. Kanada and K. Sasaki, J. Phys. Soc. Jpn. 68, 3759 (1999).
55. S. Weiss, D: Koelle, J. Müller, K. Barthel, and R. Gross, Europhys. Lett. 51, 499 (2000).
56. S. Cilla, F. Falo, and L. M. Floria, Phys. Rev. E 63, 031110 (2001).
57. E. Neumann and A. Pikovsky, Eur. Phys. J. B 26, 219 (2002).
58. O. Yevtushenko, S. Flach, Y. Zolotaryuk, and A. A. Ovchinnikov, Europhys. Lett. 54, 141 (2001).
59. B. Yan, R. M. Miura, and Y.-D. Chen, J. Theor. Biol. 210, 141 (2001).
60. P. Reimann, Phys. Rev. Lett. 86, 4992 (2001).
61. S. Denisov, S. Flach, A. A. Ovchinnikov, O. Yevtushenko, and Y. Zolotaryuk, Phys. Rev. E 66, 041104 (2002).