Switching rates of multistep reactions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 4, 2009, Pages

  Escudero, Carlos ^a   Kamenev, Alex ^b  

^a INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LARGE SYSTEM SIZE; MULTISTEP REACTIONS; PREEXPONENTIAL FACTOR; REACTION SCHEMES; REVERSE REACTIONS; SWITCHING RATES; WKB APPROXIMATIONS;

APPROXIMATION THEORY;

SCHRODINGER EQUATION;

EID: 66349126534     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.041149     Document Type: Article

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10. In so doing we neglect the back current from the state centered at q0′, see Fig. 1, toward q0. This is appropriate at times shorter than the (exponentialy long) escape time from q0′.
11. Notice that the equation of motion along the activation trajectory q = Hp (q, pa (q)) = w- - w+ =- Hp (q,0) is the time-reversal partner of the relaxation motion. This is a consequence of the fact that the single-step reactions satisfy the detailed balance condition. We are indebted to M. Dykman for discussion of this point.
12. Here, weakness is to be understood in the sense that the O (k2) terms in the exponent may be disregarded. This is the case when k2 (k-1) q0 qs [V′ (q)] 2k-3 dq T2k-1.