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Titlebook: Diffusion Under Confinement; A Journey Through Co Leonardo Dagdug,Jason Peña,Ivan Pompa-García Textbook 2024 The Editor(s) (if applicable)

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书目名称Diffusion Under Confinement
副标题A Journey Through Co
编辑Leonardo Dagdug,Jason Peña,Ivan Pompa-García
视频video
概述Provides an understanding of introductory topics in probability theory and Brownian motion.Presents a detailed theoretical description of diffusion under confinement subject to different boundary cond
图书封面Titlebook: Diffusion Under Confinement; A Journey Through Co Leonardo Dagdug,Jason Peña,Ivan Pompa-García Textbook 2024 The Editor(s) (if applicable)
描述.This book offers the reader a journey through the counterintuitive nature of Brownian motion under confinement. Diffusion is a universal phenomenon that controls a wide range of physical, chemical, and biological processes. The transport of spatially-constrained molecules and small particles is ubiquitous in nature and technology and plays an essential role in different processes. Understanding the physics of diffusion under conditions of confinement is essential for a number of biological phenomena and potential technological applications in micro- and nanofluidics, among others.. .Studies on diffusion under confinement are typically difficult to understand for young scientists and students because of the extensive background on diffusion processes, physics, and mathematics that is required. All of this information is provided in this book, which is essentially self-contained as a result of the authors’ efforts to make it accessible to an audience of students from avariety of different backgrounds. The book also provides the necessary mathematical details so students can follow the technical process required to solve each problem. Readers will also find detailed explanations of t
出版日期Textbook 2024
关键词Brownian particles; diffusion equation; mean first passage time; random walk; absorbing targets; confined
版次1
doihttps://doi.org/10.1007/978-3-031-46475-1
isbn_softcover978-3-031-46477-5
isbn_ebook978-3-031-46475-1
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Diffusion in the Presence of a Force Fieldequation is referred to in the literature as the Smoluchowski equation, which is fundamental in the study of stochastic dynamics, as it can be applied to a number of problems related to physics and chemistry. An important result is that the backward Smoluchowski operator is the adjoint operator of t
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Trapping Particles Influenced by External Forcesrticles diffuse in the presence of different potentials. This has a significant number of applications, including studying the conduction pathway for selected ions to trasverse the membrane through ion channels in the presence of an external force, which is a critical and ubiquitous process in cells
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Splitting and Breaking Brownian Pathways: Conditional Processesrticles as well as their mathematical representation. To gain new insights into the escape dynamics, we analyze the “fine structure” of these trajectories. Specifically, we divide trajectories into two segments: a looping segment, when a particle unsuccessfully tries to escape returning to the trap
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Diffusion with Stochastic Resettingserved in phenomena related to physics, chemistry, biophysics, and scientific computation. In the latter, it has been applied as a useful strategy to optimize search algorithms in hard combinatorial problems.
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Three-Dimensional Systemsand splitting probabilities. For example, when the outer sphere goes to infinity, the splitting probability related to this boundary tends to zero for one and two dimensions, while being finite for systems with three dimensions or more. We also study the absorption of a disk over a flat reflecting w
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