Relativistic BGK model for massless particles in the FLRW spacetime

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-04-27 DOI:10.3934/krm.2021031

Byung-Hoon Hwang, Ho Lee, S. Yun

引用次数: 5

Abstract

In this paper, we address the Cauchy problem for the relativistic BGK model proposed by Anderson and Witting for massless particles in the Friedmann-Lemaȋtre-Robertson-Walker (FLRW) spacetime. We first derive the explicit form of the Jüttner distribution in the FLRW spacetime, together with a set of nonlinear relations that leads to the conservation laws of particle number, momentum, and energy for both Maxwell-Boltzmann particles and Bose-Einstein particles. Then, we find sufficient conditions that guarantee the existence of equilibrium coefficients satisfying the nonlinear relations and we show that the condition is satisfied through all the induction steps once it is verified for the initial step. Using this observation, we construct explicit solutions of the relativistic BGK model of Anderson-Witting type for massless particles in the FLRW spacetime.

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FLRW时空中无质量粒子的相对论BGK模型

本文讨论了由Anderson和Witting提出的关于Friedmann-Lemaȋtre-Robertson-Walker (FLRW)时空中无质量粒子的相对论性BGK模型的柯西问题。我们首先推导了FLRW时空中j ttner分布的显式形式，以及一组非线性关系，这些关系导致了麦克斯韦-玻尔兹曼粒子和玻色-爱因斯坦粒子的粒子数、动量和能量守恒定律。然后，我们找到了保证平衡系数满足非线性关系存在的充分条件，并证明了只要对初始步骤进行验证，就可以通过所有的归纳步骤来满足这个条件。利用这一观测，我们构造了FLRW时空中无质量粒子的Anderson-Witting型相对论性BGK模型的显式解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.