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Books on the topic 'Brownian dynamics'

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Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

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1

Brownian motion: Fluctuations, dynamics, and applications. Oxford: Clarendon Press, 2002.

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2

Schuss, Zeev. Brownian Dynamics at Boundaries and Interfaces. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7687-0.

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3

Brownian Agents and Active Particles: Collective dynamics in the natural and social sciences. Berlin: Springer, 2003.

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4

Schuss, Zeev. Brownian dynamics at boundaries and interfaces: In physics, chemistry, and biology. New York: Springer, 2013.

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5

Satō, Akira. Introduction to practice of molecular simulation: Molecular dynamics, Monte Carlo, Brownian dynamics, Lattice Boltzmann, dissipative particle dynamics. Amsterdam: Elsevier, 2011.

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6

The Langevin and generalised Langevin approach to the dynamics of atomic, polymeric and colloidal systems. Amsterdam: Elsevier, 2005.

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7

Browning [sic] agents and active particles: Collective dynamics in the natural and social sciences. 2nd ed. Berlin: Springer, 2007.

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8

Browning [sic] agents and active particles: Collective dynamics in the natural and social sciences. 2nd ed. Berlin: Springer, 2007.

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9

author, Sarich Marco 1985, ed. Metastability and Markov state models in molecular dynamics: Modeling, analysis, algorithmic approaches. Providence, Rhode Island: American Mathematical Society, 2013.

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10

Srivastava, M. S. Dynamic sampling plan in CUSUM procedure for detecting a change in the drift of Brownian motion. Toronto: University of Toronto, Dept. of Statistics, 1991.

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11

Srivastava, M. S. Dynamic sampling plan in Shiryayev-Roberts procedure for detecting a change in the drift of Brownian motion. Toronto: University of Toronto, Dept. of Statistics, 1991.

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12

Herrmann, Samuel. Stochastic resonance: A mathematical approach in the small noise limit. Providence, Rhode Island: American Mathematical Society, 2014.

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13

Philipse, Albert P. Brownian Motion: Elements of Colloid Dynamics. Springer, 2018.

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14

Philipse, Albert P. Brownian Motion: Elements of Colloid Dynamics. Springer, 2018.

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15

Brownian Motion Fluctuations Dynamics And Applications. Oxford University Press, USA, 2009.

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16

McKibben, Mark A., and Micah Webster. Brownian Motion: Elements, Dynamics and Applications. Nova Science Publishers, Incorporated, 2015.

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17

Mazo, Robert M. Brownian Motion: Fluctuations, Dynamics, and Applications. Oxford University Press, 2002.

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18

Mazo, Robert M. Brownian Motion: Fluctuations, Dynamics, and Applications. Ebsco Publishing, 2009.

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19

Graham, Michael D. Microhydrodynamics, Brownian Motion, and Complex Fluids. Cambridge University Press, 2018.

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20

Graham, Michael D. Microhydrodynamics, Brownian Motion, and Complex Fluids. Cambridge University Press, 2018.

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21

Graham, Michael D. Microhydrodynamics, Brownian Motion and Complex Fluids. Cambridge University Press, 2018.

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22

Hyperbolic Dynamics And Brownian Motion An Introduction. Oxford University Press, USA, 2012.

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23

Succi, Sauro. Stochastic Particle Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0009.

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Dense fluids and liquids molecules are in constant interaction; hence, they do not fit into the Boltzmann’s picture of a clearcut separation between free-streaming and collisional interactions. Since the interactions are soft and do not involve large scattering angles, an effective way of describing dense fluids is to formulate stochastic models of particle motion, as pioneered by Einstein’s theory of Brownian motion and later extended by Paul Langevin. Besides its practical value for the study of the kinetic theory of dense fluids, Brownian motion bears a central place in the historical development of kinetic theory. Among others, it provided conclusive evidence in favor of the atomistic theory of matter. This chapter introduces the basic notions of stochastic dynamics and its connection with other important kinetic equations, primarily the Fokker–Planck equation, which bear a complementary role to the Boltzmann equation in the kinetic theory of dense fluids.

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24

Farmer, J. D., and Frank Schweitzer. Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences. Springer London, Limited, 2007.

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25

Satoh, Akira. Introduction to Practice of Molecular Simulation: Molecular Dynamics, Monte Carlo, Brownian Dynamics, Lattice Boltzmann and Dissipative Particle Dynamics. Elsevier, 2010.

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26

Satoh, Akira. Introduction to Practice of Molecular Simulation: Molecular Dynamics, Monte Carlo, Brownian Dynamics, Lattice Boltzmann and Dissipative Particle Dynamics. Elsevier, 2010.

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27

Schweitzer, Frank. Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences (Springer Series in Synergetics). Springer, 2007.

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28

Schuss, Zeev. Brownian Dynamics at Boundaries and Interfaces: In Physics, Chemistry, and Biology. Springer, 2015.

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29

Snook, Ian. Langevin and Generalised Langevin Approach to the Dynamics of Atomic, Polymeric and Colloidal Systems. Elsevier Science & Technology Books, 2006.

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30

Snook, Ian. The Langevin and Generalised Langevin Approach to the Dynamics of Atomic, Polymeric and Colloidal Systems. Elsevier Science, 2007.

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31

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Dynamic Solvent Effects: Kramers Theory and Beyond. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0011.

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This chapter discusses dynamical solvent effects on the rate constants for chemical reactions in solution. The effect is described by stochastic dynamics, where the influence of the solvent on the reaction dynamics is included by describing the motion along the reaction coordinate as Brownian motion. Two theoretical approaches are discussed: Kramers theory with a constant time-independent solvent friction coefficient and Grote–Hynes theory, a generalization of Kramers theory, based on the generalized Langevin equation with a time-dependent solvent friction coefficient. The expressions for the rate constants have the same form as in transition-state theory, but are multiplied by transmission coefficients that incorporate the dynamical solvent effect. In the limit of fast motion along the reaction coordinate, the solvent molecules can be considered as “frozen,” and the predictions of the Grote–Hynes theory can differ from the Kramers theory by several orders of magnitude.

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32

Allen, Michael P., and Dominic J. Tildesley. Mesoscale methods. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0012.

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Coarse-graining is an increasingly commonplace approach to study, as economically as possible, large-scale, and long-time phenomena. This chapter covers the main methods. Brownian and Langevin dynamics are introduced, with practical details of the solution of the modified equations of motion. Several techniques which aim to bridge the gap to the hydrodynamic regime are described: these include dissipative particle dynamics, multiparticle collision dynamics, and the lattice Boltzmann method. Several examples of program code are provided. In the last part of the chapter, the derivation of a coarse-grained potential from an atomistic one is considered using force-matching and structure-matching, and the limitations of these approaches are discussed.

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33

Zocchi, Giovanni. Molecular Machines. Princeton University Press, 2018. http://dx.doi.org/10.23943/princeton/9780691173863.001.0001.

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This book presents a dynamic new approach to the physics of enzymes and DNA from the perspective of materials science. Unified around the concept of molecular deformability—how proteins and DNA stretch, fold, and change shape—the book describes the complex molecules of life from the innovative perspective of materials properties and dynamics, in contrast to structural or purely chemical approaches. It covers a wealth of topics, including nonlinear deformability of enzymes and DNA; the chemo-dynamic cycle of enzymes; supra-molecular constructions with internal stress; nano-rheology and viscoelasticity; and chemical kinetics, Brownian motion, and barrier crossing. Essential reading for researchers in materials science, engineering, and nanotechnology, the book also describes the landmark experiments that have established the materials properties and energy landscape of large biological molecules. The book gives graduate students a working knowledge of model building in statistical mechanics, making it an essential resource for tomorrow's experimentalists in this cutting-edge field. In addition, mathematical methods are introduced in the bio-molecular context. The result is a generalized approach to mathematical problem solving that enables students to apply their findings more broadly.

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34

Nelson, Edward. Dynamical Theories of Brownian Motion. Princeton University Press, 2020.

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35

Furst, Eric M., and Todd M. Squires. Multiple particle tracking. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.003.0004.

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The fundamentals and best practices of multiple particle tracking microrheology are discussed, including methods for producing video microscopy data, analyzing data to obtain mean-squared displacements and displacement correlations, and, critically, the accuracy and errors (static and dynamic) associated with particle tracking. Applications presented include two-point microrheology, methods for characterizing heterogeneous material rheology, and shell models of local (non-continuum) heterogeneity. Particle tracking has a long history. The earliest descriptions of Brownian motion relied on precise observations, and later quantitative measurements, using light microscopy.

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36

Siegel, Jonah. Material Inspirations. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198858003.001.0001.

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This book is a study of the relationship between matter and idea that shaped the nineteenth-century culture of art, and that in turn determined the course of still-current accounts of art’s nature and value. Drawing on recent scholarship on the history of art and its institutions, Material Inspirations places cultural developments such as the emergence of new sites for exhibition and the astonishing proliferation of printed reproductions alongside a wide range of texts including novels, poems, travel guidebooks, compendia of antiquities, and especially the great line of critical writing that emerged in the period. The study aims to vivify a dynamic era, too often seen as static and unchanging, by emphasizing the transformations taking place throughout the period in precisely those areas that have appeared to promise little more than repetition or continuity: collection, exhibition, and reproduction. The book culminates with the two great critics of the period, John Ruskin and Walter Pater, but it also includes close analysis of other prose writers, as well as poets and novelists ranging from William Blake to Robert Browning, George Eliot to Henry James. Significant developments addressed include the vogue for the representation of Old Masters in the first half of the century, ongoing innovations in the creation and diffusion of reproductions, and the emergence of the field of art history itself. At the heart of each of these the book identifies a material pressure shaping concepts, texts, and works of art.

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37

Harmonic Analysis. American Mathematical Society, 2018.

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