HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Supplement (2000) > No.138
| Next Article >

Prog. Theor. Phys. Supplement No.138 (2000) pp. 555-560

[ Full Text PDF : FREE ACCESS (92K) ]

Non-Equilibrium Relaxation of Fluctuation

Nobuyasu Ito,1,* Keita Ogawa,2 Koji Hukushima3,** and Yukiyasu Ozeki2,***

1Department of Applied Physics, School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan
2Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
3Institute for Solid State Physics, The University of Tokyo, Tokyo 106-8666, Japan

(Received October 20, 1999)

Abstract:

It is shown that the non-equilibrium relaxation (NER) process of the order-parameter and energy is useful to study the phase transition. By observing the log-derivatives of those decay functions, the critical point is located finely and the critical exponents are estimated accurately. The major advantage of NER method is it's simplicity; not only the behavior in the large-size limit can be observed easily, but also it is not necessary to pursue the equilibrium of the system to get information of the final equilibrium state. Applications are expanding from basic systems like Ising ferromagnets, to spin-glass, quantal system, chiral and KT transitions, and so on. Now the NER process of fluctuations is also expected to share those advantages. It is found that the combinations of the NER functions of some fluctuations provide the way to determine static and dynamics critical exponents directly.


URL : http://ptp.ipap.jp/link?PTPS/138/555/
DOI : 10.1143/PTPS.138.555


*E-mail address: ito@catalyst.t.u-tokyo.ac.jp
**E-mail address: hukushima@chiral.issp.u-tokyo.ac.jp
***E-mail address: yozeki@stat.phys.titech.ac.jp

[ Full Text PDF : FREE ACCESS (92K) ] Citation:

References:

  1. N. Ito, Thesis “Monte Carlo Study of the Ising Model” (The University of Physics, 1990).
  2. N. Ito, in Computer Simulation Studies in Condensed Matter Physics XI, ed. D. P. Landau, K. K.  Mon and H. B. Schüttler (Springer-Verlag, 1999).
  3. N. Ito, Y. Ozeki and Y. Nonomura, Butsuri 54 (1999), 347. (in Japanese)
  4. N. Ito and Y. Ozeki, to appear in Int. J. Mod. Phys. C as proceedings of the US-Japan Bilateral Seminar “Understanding and Conqering Long Time Scales in Computer Simulations” (Hawaii, U.S.A., 1999 July).
  5. Y. Ozeki and N. Ito to appear in a supplement of J. Phys. Soc. Jpn. as proceedings of the Workshop on Frontiers in Magnetism (Kyoto, Japan, 1999 Oct.).
  6. M. Suzuki, Phys. Lett. A58 (1976), 435[Elsevier].
  7. M. Suzuki, Prog. Theor. Phys. 58 (1977), 1142[PTP].
  8. N. Jan, L. L. Moseley and D. Stauffer, J. Stat. Phys. 33 (1983), 1.
  9. C. Kalle, J. of Phys. A17 (1984), L801[IoP STACKS].
  10. J. Williams, J. of Phys. A18 (1985), 1781[IoP STACKS].
  11. M. Kikuchi and Y. Okabe, Phys. Rev. Lett. 55 (1985), 1220[APS].
  12. M. Kikuchi and Y. Okabe, J. Phys. Soc. Jpn. 55 (1986), 1359[JPSJ].
  13. N. Ito and M. Suzuki, Prog. Theor. Phys. 77 (1987), 1391[PTP].
  14. D. Stauffer, Physica A186 (1992), 197.
  15. G. A. Kohring and D. Stauffer, Int. J. Mod. Phys. C3 (1992), 1165.
  16. J. Kerte'sz and D. Stauffer, Int. J. Mod. Phys. C3 (1992), 1275.
  17. C. Münkel, D. W. Heermann, J. Adler, M. Gofman and D. Stauffer, Physica A193 (1993), 540.
  18. N. Ito, Physica A192 (1993), 604.
  19. N. Ito, Physica A196 (1993), 591.
  20. F.-G. Wang and C.-K. Hu, Phys. Rev. E56 (1997), 2310[APS].
  21. J.-S. Wang, in Computer Simulation Studies in Condensed Matter Physics XI, ed. D. P. Landau, K. K.  Mon and H. B. Schüttler (Springer-Verlag, 1999).
  22. G. A. Kohring and N. Ito, Physica A201 (1993), 574.
  23. N. Ito, T. Matsuhisa and H. Kitatani, J. Phys. Soc. Jpn. 67 (1998), 1188[JPSJ].
  24. Y. Ozeki and N. Ito, J. of Phys. A31 (1998), 5451[IoP STACKS].
  25. N. Ito, Y. Ozeki and H. Kitatani, J. Phys. Soc. Jpn. 68 (1999), 803[JPSJ].
  26. Y. Ozeki and N. Ito, in preparation.
  27. Y. Ozeki, J. of Phys. A28 (1995), 3645[IoP STACKS].
  28. Y. Ozeki, J. of Phys. 10 (1997), 11171.
  29. Y. Nonomura, J. Phys. Soc. Jpn. 67 (1998), 5[JPSJ].
  30. Y. Nonomura, J. of Phys. A31 (1998), 7939 [IoP STACKS].
  31. A. Jaster, J. Mainville, L. Schülke and B. Zheng, J. of Phys. A32 (1999), 1395[IoP STACKS].
  32. N. Ito, K. Hukushima, K. Ogawa and Y. Ozeki, in preparation.

Citing Article(s) :

  1. Journal of the Physical Society of Japan 69 (2000) pp. 1931-1934 :
    Nonequilibrium Relaxation of Fluctuations of Physical Quantities
    Nobuyasu Ito, Koji Hukushima, Keita Ogawa and Yukiyasu Ozeki

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.