Stochastic thermodynamics in mesoscopic chemical oscillation systems

Journal of Physical Chemistry B

Volumn 113, Issue 27, 2009, Pages 9316-9320

  Xiao, Tiejun ^b   Hou, Zhonghuai ^a,b   Xin, Houwen ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; ENTROPY; RANDOM PROCESSES; STOCHASTIC MODELS; SUPERCONDUCTING MATERIALS; THERMODYNAMICS;

CHEMICAL LANGEVIN EQUATION; CHEMICAL OSCILLATIONS; CIRCADIAN CLOCK; CONTROL PARAMETERS; DIRECT SIMULATION; ENTROPY PRODUCTION; FLUCTUATION THEOREMS; LANGEVIN DYNAMICS; LARGE SYSTEM; MESOSCOPIC; NORMAL FORM THEORY; PARAMETER REGIONS; STATE SPACE; STATE VARIABLES; STATIONARY STATE; STOCHASTIC TRAJECTORIES; THEORETICAL EXPRESSION; TOTAL ENTROPY;

HOPF BIFURCATION;

EID: 67650090781     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp901610x     Document Type: Article

References (32)

1. Bustamante, C.; Liphardt, J.; Ritort, F. Phys. Today 2005, 58 (7), 43.
2. Ritort, F. J. Phys.: Condens. Matter. 2006, 18, R531.
3. Evans, D. J.; Cohen, E. G. D.; Morriss, G. P. Phys. Rev. Lett. 1993, 71, 2401.
4. Evans, D. J.; Searles, D. J. Phys. Rev.E 1994, 50, 1645.
5. Lebowitz, J. L.; Spohn, H. J. Stat. Phys. 1999, 95, 333.
6. Chernyak, V. Y.; Chertkov, M.; Jarzynski, C. J. Stat. Mech.: Theory Exp. 2006, 08001.
7. Seifert, U. J. Phys. A: Math. Theor. 2004, 37, L517.
8. Gaspard, P. J. Chem. Phys. 2004, 120, 8898.
9. Andrieux, D.; Gaspard, P. J. Chem. Phys. 2004, 121, 6167.
10. Andrieux, D.; Gaspard, P. J. Stat. Mech: Theory Exp. 2006, 01011.
11. Andrieux, D.; Gaspard, P. J. Chem. Phys. 2008, 128, 154506.
12. Andrieux, D.; Gaspard, P. Phys. Rev.E 2008, 77, 031137.
13. Seifert, U. Phys. Rev. Lett. 2005, 95, 040602.
14. Seifert, U. Eur. Phys. J. B 2008, 64, 423.
15. Tietz, C.; Schuler, S.; Speck, T.; Seifert, U.; Wrachtrup, J. Phys. Rev. Lett. 2006, 97, 050602.
16. Blickle, V.; Speck, T.; Helden, L.; Seifert, U.; Bechinger, C. Phys. Rev. Lett. 2006, 96, 070603.
17. Schmiedl, T.; Seifert, U. J. Chem. Phys. 2007, 126, 044101.
18. Schmiedl, T.; Speck, T.; Seifert, U. J. Stat. Phys. 2007, 128, 77.
19. Andrieux, D.; Ciliberto, S.; Garnier, N.; Joubaud, S.; Petrosyan, A. Phys. Rev. Lett. 2007, 98, 150601.
20. Xiao, T. J.; Hou, Z.; Xin, H. J. Chem. Phys. 2008, 129, 114506.
21. Gillespie, D. T. J. Comput. Phys. 1976, 22, 403.
22. Gillespie, D. T. J. Phys. Chem. 1977, 81, 2340.
23. Gillespie, D. T. J. Chem. Phys. 2000, 113, 297.
24. Xiao, T.; Ma, J.; Hou, Z.; Xin, H. New J. Phys. 2007, 9, 403.
25. Hassard, B. D.; Wan, Y. H. Theory and Applications of Hopf bifurcation, London Mathematical Society Lecture Note Series; Cambridge: Cambridge University Press, 1981; Vol. 4.
26. Arnold, L.; Namachchivaya, N. S.; Schenk-Hoppé, K. R. Int. J. Bifurcat. Chaos 1996, (6), 1947.
27. Roberts, J. B.; Spanos, P. D. J. Nonlinear Mech. 1986, 21, 111.
28. Qian, H.; Saffarian, S.; Elson, E. L. Proc. Natl. Acad. Sci. U.S.A. 2002, 99, 10376.
29. Hou, Z.; Xin, H. J. Chem. Phys. 2003, 119, 11508.
30. Hou, Z.; Xin, H. ChemPhysChem. 2004, 5, 407.
31. Gonze, D.; Halloy, J.; Goldbeter, A. Proc. Natl Acad. Sci. USA. 2002, 99, 673.
32. Gonze, D.; Hallory, J.; Gaspard, P. J. Chem. Phys. 2002, 116, 10997.