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

Authors

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