Open AccessComputer simulating of nanoprocesses: Thermal jumps over a low barrier in the overdamped regime
Author(s) -
M. V. Chushnyakova,
I. I. Gontchar,
R. A. Kuzyakin
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1546/1/012115
Subject(s) - statistical physics , langevin equation , smoluchowski coagulation equation , metastability , transient (computer programming) , partial differential equation , physics , stochastic differential equation , ordinary differential equation , process (computing) , master equation , thermal , jump process , differential equation , computer science , thermodynamics , quantum mechanics , operating system , jump , quantum
We model numerically the process of a thermally activated decay of a metastable state over a low barrier in the overdamped regime. This process is typical for the recent nanoscale experiments reported in the literature. Within the framework of a novel unified computer code, two ways of modeling are applied: (i) the partial differential equation (Smoluchowski equation) and (ii) the stochastic ordinary differential equation (Langevin equation for the generalized coordinate). The advantages and disadvantages of both approaches are discussed and analyzed. Special attention is paid to the transient stage of the process yet the quasistationary stage is considered as well.