Two kinetic models for non-instantaneous binary alignment collisions

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/krm.2023038
Laura Kanzler, Christian Schmeiser, Veronica Tora
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引用次数: 3

Abstract

A new type of kinetic models with non-instantaneous binary collisions is considered. Collisions are described by a transport process in the joint state space of a pair of particles. The interactions are of alignment type, where the states of the particles approach each other. For two spatially homogeneous models with deterministic or stochastic collision times existence and uniqueness of solutions, the long time behavior, and the instantaneous limit are considered, where the latter leads to standard kinetic models of Boltzmann type.
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非瞬时二元对准碰撞的两种动力学模型
考虑了一类新的非瞬时二元碰撞动力学模型。碰撞用一对粒子的联合状态空间中的输运过程来描述。相互作用是排列型的,粒子的状态彼此接近。对于具有确定或随机碰撞次数的两种空间齐次模型,考虑了解的存在唯一性、长时间行为和瞬时极限,其中瞬时极限得到玻尔兹曼型标准动力学模型。
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来源期刊
Accounts of Chemical Research
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.
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