Kramers-type effective Reactive Flow in Structured-noise Environments
Chun-Yang Wang
TL;DR
This paper investigates non-Markovian anomalous diffusion systems driven by structured noise types, revealing unique Kramers-type reactive flow behaviors through analytical solutions and reactive flux calculations.
Contribution
It introduces analytical solutions for three types of structured noise-driven anomalous diffusion and uncovers novel Kramers-type reactive flow phenomena in these systems.
Findings
Kramers-type reactive flow observed in harmonic noise systems
Distinct behaviors in reaction rate and transmission coefficient
Analytical methods applied to non-Markovian diffusion models
Abstract
The non-Markovian features of three typical anomalous diffusing systems are studied by analytically solving the generalized Langevin equation directly driven by three kind of internal structured-noises: harmonic noise, harmonic velocity noise and harmonic acceleration noise, respectively. The time-dependent reaction rate and the transmission coefficient are calculated by using of the reactive flux method. A startling behavior of Kramers-type effective reactive flow is witnessed in the harmonic noise and harmonic acceleration noise systems.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · stochastic dynamics and bifurcation · Statistical Mechanics and Entropy