Fractional dynamics of one-dimensional linear chain driven by power-law noise

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

Abstract

We investigate the fractional dynamics of $N-$Brownian particles linearly coupled by springs. Using the Caputo definition of a fractional derivative and imposing that the system is driven internally by power-law noise, we recast the generalized Langevin equation into a fractional Langevin equation. We derive the mean position of the $i^\text{th}$ particle in the linear chain using the method of Laplace transform. Our results show that for increasing exponent $\alpha$, the damping of the $i^\text{th}$ particle is increased consistent with the behavior of a fractional oscillator. 

Published
2019-05-23
How to Cite
[1]
A. J. Cometa and J. P. Esguerra. Fractional dynamics of one-dimensional linear chain driven by power-law noise, Proceedings of the Samahang Pisika ng Pilipinas 37, SPP-2019-1D-02 (2019). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2019-1D-02.
Section
Theoretical and Mathematical Physics