000 02648 a2200241 4500
008 240328b 2024|||||||| |||| 00| 0 eng d
020 _a9783031464744 (HB)
041 _aeng
080 _a519.216
_bDAG
100 _aDagdug, Leonardo
245 _aDiffusion Under Confinement
_b: A Journey Through Counterintuition
260 _bSpringer
_c2024
_aSwitzerland
300 _axix, 759p.
505 _aHistory of Brownian Motion in a Nutshell The Random Elevator Game Solution of the Diffusion Equation in Free Space One-Dimensional Semi-infinite Systems Solutions Diffusion Between Two Targets Diffusion in the Presence of a Force Field Trapping Particles Influenced by External Forces Splitting and Breaking Brownian Pathways: Conditional Processes Diffusion with Stochastic Resetting Langevin Equation and Brownian Dynamics Simulations Numerical Solutions of the Diffusion Equation Two-Dimensional Systems Reaction-Diffusion Equations Three-Dimensional Systems
520 _aThis 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 the main results based on the last 30 years of research devoted to studying diffusion under confinement. The authors approach the physical problem from various angles and discuss the role of geometries and boundary conditions in diffusion.
650 _aBrownian particles
650 _aDiffusion equation
650 _aSurvival probability
690 _aMathematics
700 _aPena, Jason
700 _aPompa-Garcia, Ivan
942 _cBK
999 _c60027
_d60027