Rapidity distribution of a tracer particle in 1D Maxwell-Jüttner gas

Authors

Noel Lamsen National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

An approximation to the time evolution of the Fourier transform of the probability distribution of a tracer particle’s rapidity subject to collisions with the particles of a 1D gas as described by the Maxwell-Jüttner distribution was obtained. It was shown that if the mass of the tracer particle m_T is slightly different from the mass of the gas particle (here set to unity, or set as the unit for all other mass quantities) by ε , the probability distribution of the tracer particle’s rapidity have cummulants similar to that of Maxwell-Jüttner but multiplied by a set factors {g_2n(ε)} in the long time limit.

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Issue

2013: Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2013-5B-3

Section

Computational Physics

Published

2013-10-23

How to Cite

[1]

N Lamsen and JP Esguerra, Rapidity distribution of a tracer particle in 1D Maxwell-Jüttner gas, Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-5B-3 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-5B-3.