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Volumn 63, Issue 2, 2001, Pages

Field theory for reaction-diffusion processes with hard-core particles

Author keywords

[No Author keywords available]

Indexed keywords


EID: 18344396327     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.022101     Document Type: Article
Times cited : (6)

References (39)
  • 9
    • 85039595843 scopus 로고    scopus 로고
    • Free Energy Transduction and Biochemical Cycle Kinetics (Springer-Verlag, New York, 1995);, Free Energy Transduction in Biology (Academic, New York, 1977)
    • T.L. Hill, Free Energy Transduction and Biochemical Cycle Kinetics (Springer-Verlag, New York, 1995);Free Energy Transduction in Biology (Academic, New York, 1977);
    • Hill, T.L.1
  • 10
    • 85039594525 scopus 로고
    • Nature (London) 299, 84 (1982).
    • (1982) Nature (London) , vol.299 , pp. 84
  • 20
    • 85039595251 scopus 로고    scopus 로고
    • e-print physics/0007014
    • H. Qian, e-print physics/0007014.
    • Qian, H.1
  • 22
    • 0034311689 scopus 로고    scopus 로고
    • Equation (4) can be viewed as the relative entropy between distribution (Formula presented) and its time reversal (Formula presented) See D.-Q. Jiang, M. Qian, and M.-P. Qian, Commun. Math. Phys. 214, 389 (2000);
    • (2000) Commun. Math. Phys. , vol.214 , pp. 389
    • Jiang, D.-Q.1    Qian, M.2    Qian, M.-P.3
  • 24
    • 85039589369 scopus 로고    scopus 로고
    • See 6 for an implicit proof of the symmetry. Let the stationary Markov jump process, (Formula presented) starting at (Formula presented) completing cycle (Formula presented) (Formula presented) times up to t, and (Formula presented) times return to (Formula presented) by noncircular paths. Then (Formula presented) For large t, (Formula presented) are expected to be t independent
    • See 6 for an implicit proof of the symmetry. Let the stationary Markov jump process, (Formula presented) starting at (Formula presented) completing cycle (Formula presented) (Formula presented) times up to t, and (Formula presented) times return to (Formula presented) by noncircular paths. Then (Formula presented) For large t, (Formula presented) are expected to be t independent.
  • 32
    • 85039589339 scopus 로고    scopus 로고
    • Heuristically, at (Formula presented) with small (Formula presented) the approximated solution to Eq. (6) is (Formula presented) from which it is easy to show (Formula presented) analogous to Eq. (2)
    • Heuristically, at (Formula presented) with small (Formula presented) the approximated solution to Eq. (6) is (Formula presented) from which it is easy to show (Formula presented) analogous to Eq. (2).
  • 34
    • 85039599529 scopus 로고    scopus 로고
    • Note also (Formula presented) where (Formula presented) and (Formula presented) are Onsager’s force and flux. This is a special case of Eq. (9). This connection to Onsager’s work is well-known to T.L. Hill and can be found in his work on biological free energy transduction 4
    • Note also (Formula presented) where (Formula presented) and (Formula presented) are Onsager’s force and flux. This is a special case of Eq. (9). This connection to Onsager’s work is well-known to T.L. Hill and can be found in his work on biological free energy transduction 4.
  • 35
    • 36149006492 scopus 로고
    • his paper dissipation function Φ=EPR/2, and (Formula presented) is HDR. Hence (Formula presented) is our EPR/2, which is the functional for PLD. Onsager also discussed the case when (Formula presented) Under this condition, the system cannot be stationary. Hence this portion of his work only applies to a nonstationary transient, which is outside the scope of this paper
    • L. Onsager, Phys. Rev. 37, 405 (1931). In his paper dissipation function Φ=EPR/2, and (Formula presented) is HDR. Hence (Formula presented) is our EPR/2, which is the functional for PLD. Onsager also discussed the case when (Formula presented) Under this condition, the system cannot be stationary. Hence this portion of his work only applies to a nonstationary transient, which is outside the scope of this paper.
    • (1931) Phys. Rev. , vol.37 , pp. 405
    • Onsager, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.