Paper
23 August 2023 Transient behaviour of heterogeneous diffusion processes in the cubic potential
Zixuan Guo
Author Affiliations +
Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 1278407 (2023) https://doi.org/10.1117/12.2692869
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China
Abstract
The noise to signal transition is a very significant process in physics and plays an important role in the study of unstable cubic potentials. We extend the unstable external force field to a heterogeneous environment and theoretically analyze stochastic noise-to-signal transition of overdamped Brownian motion of a particle in it. We obtained a proportional relationship between SNR and heterogeneity in the view of standard statistical method. However, When the new local statistical methods are introduced, the relationship between SNR and heterogeneity is diametrically opposed to the previous. For this reason we have given a certain physical explanation.
© (2023) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Zixuan Guo "Transient behaviour of heterogeneous diffusion processes in the cubic potential", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 1278407 (23 August 2023); https://doi.org/10.1117/12.2692869
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KEYWORDS
Signal to noise ratio

Diffusion

Particles

Statistical methods

Numerical simulations

Interference (communication)

Signal processing

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