# Kinetics of electron-positron pair plasmas using an adaptive Monte Carlo method

Source: [Kinetics of electron-positron pair plasmas using an adaptive Monte Carlo method](<https://www.sota2.com/research/paper/68fa244f2c2a3760193a26a8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:03:37.711Z

Authors: Ravi P. Pilla, Jacob Shaham

Published: 1997-02-21T02:28:23.000Z

## Abstract

A new algorithm for implementing the adaptive Monte Carlo method is given. It is used to solve the relativistic Boltzmann equations that describe the time evolution of a nonequilibrium electron-positron pair plasma containing high-energy photons and pairs. The collision kernels for the photons as well as pairs are constructed for Compton scattering, pair annihilation and creation, bremsstrahlung, and Bhabha & Moller scattering. For a homogeneous and isotropic plasma, analytical equilibrium solutions are obtained in terms of the initial conditions. For two non-equilibrium models, the time evolution of the photon and pair spectra is determined using the new method. The asymptotic numerical solutions are found to be in a good agreement with the analytical equilibrium states. Astrophysical applications of this scheme are discussed.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/astro-ph/9702187>)

[PDF](<https://arxiv.org/pdf/astro-ph/9702187.pdf>)