Passage through fluctuating geometrical bottlenecks. The general Gaussian fluctuating case
✍ Scribed by Jin Wang; Peter Wolynes
- Book ID
- 103035157
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 509 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
✦ Synopsis
Rate processes controlled by passage through fluctuating geometrical bottlenecks are studied using a path integral formalism.
When the fluctuations of the bottlenecks relax exponentially, we recover Zwanzig's previous results obtained using a diffusion equation approach. For the case where the bottleneck relaxes according to a stretched exponential (Kohlrausch-Williams-Watts ) law (we use its Fourier transform which is approximately a Cole-Davidson law), one still obtains exponential kinetics at long times with an effective rate constant. This rate coeffkient is inversely proportional to a fractional power of viscosity. As in the exponential case, the survival probability follows a non-exponential behaviour for short times.