Minimum-work process for isothermal shift of a Brownian particle

Journal of the Physical Society of Japan

Volumn 72, Issue 5, 2003, Pages 1300-1301

  Fujitani, Youhei ^a   Kojoh, Tohru ^a,b   Inoué, Kazuya ^a,c  

^a KEIO UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

^c HITACHI LTD   (Japan)

Author keywords

Dissipated work; Langevin equation; Stochastic energetics

Indexed keywords

ARTICLE; ELEMENTARY PARTICLE; EQUILIBRIUM CONSTANT; ISOTHERM; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; PROBLEM SOLVING; PROCESS MODEL;

EID: 0038539641     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.72.1300     Document Type: Article

References (6)

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2. K. Sekimoto: J. Phys. Soc. Jpn. 66 (1997) 1234.
3. K. Sekimoto and S. Sasa: J. Phys. Soc. Jpn. 66 (1997) 3326.
4. H. Risken: The Fokker-Planck Equation (Springer-Verlag, Berlin, 1989) 2nd ed., Chap. 10.
5. The corresponding kernel for the Kramers equation, equivalent to (2), would not be so concise, being obtained as a series in terms of the Hermite functions, of which coefficients satisfy simultaneous equations similar to Brinkman's hierarchy.4)
6. R. Courant and D. Hilbert: Methods of Mathematical Physics (John Wiley & Sons, New York, 1953) Vol. 1, Chap. IV, Sect. 1-4.