White noise functional approach to the Brownian motion of free particle

  • Bienvenido M Butanas, Jr National Institute of Physics, University of the Philippines Diliman and Central Mindanao University, Bukidnon
  • Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

We use white noise functional analysis to derive the velocity-space and configuration-space probability density functions (PDF) for the Brownian motion of a free particle. We then derive the moments, mean square deviations for velocity and position, and the coefficient of diffusion. For long times, we show how the second moment for velocity approaches the equipartition value. We also derive the expression for the distribution law and demonstrate how the Maxwell distribution is achieved.

Published
2018-05-16
How to Cite
[1]
B. Butanas and J. P. Esguerra. White noise functional approach to the Brownian motion of free particle, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PB-03 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PB-03.
Section
Poster Session B (Complex Systems, Simulations, and Theoretical Physics)