The Langevin Equation
The Langevin Equation
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DOI：
10.1142/8195
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发表时间：
2004-03
期刊：
影响因子：
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通讯作者：
W. Coffey;Y. Kalmykov;J. Waldron
中科院分区：
文献类型：
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作者：
W. Coffey;Y. Kalmykov;J. Waldron
本书是第一本关于朗之万方程方法的基础书籍的第三版，该方法用于解决涉及粒子和自旋的平移和旋转布朗运动的问题，潜在地突出了物理、化学、电气工程等领域的现代应用。为了改进演示，适应所有新的发展，并吸引所涉及的各个社区的专门兴趣，本书已被广泛重写，并添加了大量新材料。这样做是为了全面概述该主题，强调通过协同方法，可以本着该主题创始人（即爱因斯坦、朗之万、斯莫洛霍夫斯基、克莱默斯）的精神，使用几乎相同的数学方法来描述涉及随机噪声的看似无关的物理问题。本书的编写方式是，高级研究人员和初级研究生都应该可以理解所有材料。它以连贯的方式汇集了迄今为止仅以分散的研究论文和评论文章的形式提供的各种结果。
This volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation, to accommodate all the new developments, and to appeal to the specialized interests of the various communities involved, the book has been extensively rewritten and a very large amount of new material has been added. This has been done in order to present a comprehensive overview of the subject emphasizing via a synergetic approach that seemingly unrelated physical problems involving random noise may be described using virtually identical mathematical methods in the spirit of the founders of the subject, viz., Einstein, Langevin, Smoluchowski, Kramers, The book has been written in such a way that all the material should be accessible both to an advanced researcher and a beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of scattered research papers and review articles.