Transient behaviour of heterogeneous diffusion processes in the cubic potential

Zixuan Guo

doi:10.1117/12.2692869

23 August 2023 Transient behaviour of heterogeneous diffusion processes in the cubic potential

Zixuan Guo

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.

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available