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020 _a9783031464751
_9978-3-031-46475-1
024 7 _a10.1007/978-3-031-46475-1
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHS
_2thema
100 1 _aDagdug, Leonardo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_970322
245 1 0 _aDiffusion Under Confinement
_h[electronic resource] :
_bA Journey Through Counterintuition /
_cby Leonardo Dagdug, Jason Peña, Ivan Pompa-García.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXIX, 759 p. 191 illus., 175 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 1: History of Brownian Motion in a Nutshell -- Chapter 2: The Random Elevator Game -- Chapter 3: Solution of the Diffusion Equation in Free Space -- Chapter 4: Solution of the Diffusion Equation in Free Space -- Chapter 5: Diffusion Between Two Targets -- Chapter 6: Diffusion in the Presence of a Force Field -- Chapter 7: Trapping Particles Influenced by External Forces -- Chapter 8: Splitting and Breaking Brownian Pathways: Conditional Processes -- Chapter 9: Diffusion With Stochastic Resetting -- Chapter 10: Diffusion With Stochastic Resetting -- Chapter 11: Diffusion With Stochastic Resetting -- Chapter 12: Two-Dimensional Systems -- Chapter 13: Reaction-Diffusion Equations -- Chapter 14: Three-dimensional Systems -- Chapter 15: Trapping Rate Coefficient -- Chapter 16: Trapping Rate Coefficient -- Chapter 17: Fick-Jacobs 1D Reduction -- Chapter 18: Zwanzig 1D Reduction -- Chapter 19: Reguera and Rubi Kinetic Equation -- Chapter 20: Kalinay and Percus Projection Method -- Chapter 21: External Transverse Field: 2D Narrow Channel -- Chapter 22: Periodical Systems -- Chapter 23: Active Brownian Particles -- Chapter 24: Diffusion in Narrow Channels Embedded on Curved Manifolds -- Chapter 25: Representation of a Channel as a Tubular Manifold: Frenet-Serret Moving Frame.
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 froma variety 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. This textbook serves as a comprehensive and modern overview of Brownian motion under confinement and is intended for young scientists, graduate students, and advanced undergraduates in physics, physical chemistry, biology, chemistry, chemical engineering, biochemistry, bioengineering, and polymer and material sciences.
650 0 _aStatistical Physics.
_970323
650 0 _aMathematical physics.
650 0 _aComputer simulation.
650 0 _aProbabilities.
_965724
650 0 _aMarkov processes.
_970324
650 0 _aBiomathematics.
_970325
650 1 4 _aStatistical Physics.
_970323
650 2 4 _aComputational Physics and Simulations.
_965564
650 2 4 _aProbability Theory.
_967428
650 2 4 _aApplied Probability.
_965727
650 2 4 _aMarkov Process.
_970326
650 2 4 _aMathematical and Computational Biology.
_970327
700 1 _aPeña, Jason.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_970328
700 1 _aPompa-García, Ivan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_970329
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031464744
776 0 8 _iPrinted edition:
_z9783031464768
776 0 8 _iPrinted edition:
_z9783031464775
856 4 0 _uhttps://doi.org/10.1007/978-3-031-46475-1
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c57413
_d57413