Energetics of open systems and chemical potential from micro-dynamics viewpoints

Journal of the Physical Society of Japan

Volumn 69, Issue 8, 2000, Pages 2455-2462

  Shibata, Tatsuo ^a   Sekimoto, Ken ^b  

^a KYOTO UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Chemical potential; Open systems; Stochastic energetics

Indexed keywords

EID: 0034376919     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.69.2455     Document Type: Article

References (12)

1. Biological processes of biopolymers should be approached from the viewpoint of the energetics of open systems. The theoretical studies have been appeared in refs. 3, 4, where, however, the energetics of a single event of particle exchange has been discussed little.
2. A kinetic model of open systems for the description of irreversible process has been studied in the literature: J. L. Lebowitz and P. G. Bergmann: Ann. Phys. 1 (1957) 1.
3. For the purpose to characterize mechanochemical processes in biological systems, a kinetic formalism has been introduced in the literature: T. L. Hill: Prog. Biophys. Mol. Biol. 28 (1974) 267.
4. The extensive studies of Brownian motors or thermal ratchets, motivated partly by the biological motor proteins, have been appeared in the literatures: F. Jülicher, A. Ajdari and J. Prost: Rev. Mod. Phys. 69 (1997) 1269, and references cited therein. While they have implicitly included the process that particles enter or leave a system, the study of a Brownian motor taking explicit account of such a process has been appeared in ref. 11.
5. K. Sekimoto: J. Phys. Soc. Jpn. 66 (1997) 1234,
6. K. Sekimoto and S. Sasa: J. Phys. Soc. Jpn. 66 (1997) 3326.
7. K. Sekimoto: Progr. Theor. Phys. Suppl. 130 (1998) 17.
8. We should note the possibility that no particle is in D. In such a case, Ω contains no degrees of freedom. In fact, however, we should consider that in Ω there are some degrees of freedom other than the particles' and we will not explicitly study the former.
9. C. W. Gardiner: Handbook of Stochastic Methods (Springer-Verlag, 1998).
10. 0\D).
11. S. Sasa and T. Shibata: J. Phys. Soc. Jpn. 67 (1998) 1918.
12. T. Shibata and S. Sasa: J. Phys. Soc. Jpn. 67 (1998) 2666.