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Volumn 69, Issue 5 1, 2004, Pages

Extended heat-fluctuation theorems for a system with deterministic and stochastic forces

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BROWNIAN MOVEMENT; ENTROPY; FOURIER TRANSFORMS; NANOSTRUCTURED MATERIALS; NUMERICAL METHODS; PROBABILITY DISTRIBUTIONS;

EID: 37649026988     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (163)

References (30)
  • 4
    • 17044421499 scopus 로고
    • G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. 74, 2694 (1995); J. Stat. Phys. 80, 931 (1995).
    • (1995) J. Stat. Phys. , vol.80 , pp. 931
  • 8
    • 33645095806 scopus 로고    scopus 로고
    • note
    • The dynamical systems are required to have an isoenergetic Gaussian thermostat for this to be strictly true, otherwise correction terms appear, though these might possibly vanish in the large time or system size limit.
  • 10
    • 33645084095 scopus 로고    scopus 로고
    • note
    • Also, the integrated TFT and SSFT exist [11,12], which we do not discuss here since they are constructed only to improve the statistics in experiments or simulations.
  • 15
    • 33645073755 scopus 로고    scopus 로고
    • O. Mazonka and C. Jarzynski, e-print cond-mat/9912121
    • O. Mazonka and C. Jarzynski, e-print cond-mat/9912121.
  • 16
    • 33645094757 scopus 로고    scopus 로고
    • note
    • In Eq. (12) the possibility of energy being stored as kinetic energy of the Brownian particle has been neglected. While this in principle should be included, fluctuations in velocity decay on a time scale ≪ 1 in the overdamped case, so that we may neglect them on time scales of O(1).
  • 18
    • 0003598496 scopus 로고
    • Cambrige University Press, Cambridge
    • H. Jeffreys and B. S. Jeffreys, Methods of Mathematical Physics, 3rd ed. (Cambrige University Press, Cambridge, 1956); P. Dennery and A. Krzywicki, Mathematics for Physicists (Harper and Row, New York, 1967). L. Sirovich, Techniques of Asymptotic Analysis (Springer-Verlag, New York, 1971).
    • (1956) Methods of Mathematical Physics, 3rd Ed.
    • Jeffreys, H.1    Jeffreys, B.S.2
  • 19
    • 0004294506 scopus 로고
    • Harper and Row, New York
    • H. Jeffreys and B. S. Jeffreys, Methods of Mathematical Physics, 3rd ed. (Cambrige University Press, Cambridge, 1956); P. Dennery and A. Krzywicki, Mathematics for Physicists (Harper and Row, New York, 1967). L. Sirovich, Techniques of Asymptotic Analysis (Springer-Verlag, New York, 1971).
    • (1967) Mathematics for Physicists
    • Dennery, P.1    Krzywicki, A.2
  • 20
    • 0003980022 scopus 로고
    • Springer-Verlag, New York
    • H. Jeffreys and B. S. Jeffreys, Methods of Mathematical Physics, 3rd ed. (Cambrige University Press, Cambridge, 1956); P. Dennery and A. Krzywicki, Mathematics for Physicists (Harper and Row, New York, 1967). L. Sirovich, Techniques of Asymptotic Analysis (Springer-Verlag, New York, 1971).
    • (1971) Techniques of Asymptotic Analysis
    • Sirovich, L.1
  • 21
    • 33645083557 scopus 로고    scopus 로고
    • note
    • Q in Eq. (38) if ≳3.
  • 22
    • 33645074768 scopus 로고    scopus 로고
    • note
    • 2] for large q, so that on the rhs of Eq. (38) the integral for the Fourier inverse diverges for τ< 2. This is an artifact of neglecting the exponentials.
  • 23
    • 0004149831 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • S. Wolfram, The Mathematica Book (Cambridge University Press, Cambridge, 1999).
    • (1999) The Mathematica Book
    • Wolfram, S.1
  • 24
    • 33645048814 scopus 로고    scopus 로고
    • note
    • It is useful to have an analytic result for the saddle points in MATHEMATICA's memory because this shows that q* is a smooth function of p and allows for the derivative ∂q*/∂p needed in Eq. (53) to be obtained as well.
  • 25
    • 33645051796 scopus 로고    scopus 로고
    • note
    • -2α-β), respectively, so that h(q*)=h(x) + O(τ-α-min(α,β)).
  • 26
    • 33645090265 scopus 로고    scopus 로고
    • note
    • -1) correction in Eq. (61).
  • 27
    • 33645053862 scopus 로고    scopus 로고
    • note
    • d-2/64 and -d/2, resp. Finally, in Eq. (69) 1/w becomes d/(3w).
  • 30
    • 33645080756 scopus 로고    scopus 로고
    • L. Rey-Bellet, e-print math-ph/0303021
    • L. Rey-Bellet and L. E. Thomas, Ann. Henri Poincare 3, 483 (2002); L. Rey-Bellet, e-print math-ph/0303021.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.