Dynamics of two harmonically coupled Brownian particles with memory

Authors

Adam Jesson Prado Cometa ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We consider two coupled Brownian oscillators with memory. Exact expressions for the position x_i(t), velocity v_i(t), their variances 〈Δx_i²(t)〉 and 〈Δv_i²(t)〉, and the diffusion coefficient D_i(t) are calculated. Our results show that there is a superdiffusive behavior observed in the system due to the coupling of the Brownian oscillators. Beyond this superdiffusive regime, the particles behave subdiffusively.

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Issue

2018: Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Building bridges and exploring frontiers
6-9 June 2018, Puerto Princesa City

Please visit the activity webpage for SPP2018 for more information on this year's conference.

Article ID

SPP-2018-3B-07

Section

Theoretical and Mathematical Physics

Published

2018-05-28

How to Cite

[1]

AJP Cometa and JP Esguerra, Dynamics of two harmonically coupled Brownian particles with memory, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-3B-07 (2018). URL: https://proceedings.spp-online.org/article/view/SPP-2018-3B-07.