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Books on the topic 'Kinetic theory of active particles'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

Oxenius, Joachim. Kinetic Theory of Particles and Photons. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-70728-5.

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2

Linear kinetic theory and particle transport in stochastic mixtures. Singapore: World Scientific, 1991.

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3

Oxenius, Joachim. Kinetic theory of particles and photons: Theoretical foundations of non-LTE plasma spectroscopy. Berlin: Springer-Verlag, 1986.

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4

Kinetic theory of particles and photons: Theoretical foundations of non-LTE plasma spectroscopy. Berlin: Springer-Verlag, 1986.

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5

Oxenius, Joachim. Kinetic Theory of Particles and Photons: Theoretical Foundations of Non-LTE Plasma Spectroscopy. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986.

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6

L, Klimontovich I͡U. Statistical Theory of Open Systems: Volume 1: A Unified Approach to Kinetic Description of Processes in Active Systems. Dordrecht: Springer Netherlands, 1995.

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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

Deruelle, Nathalie, and Jean-Philippe Uzan. Kinetic theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0010.

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This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equation. Finally, it discusses the Jeans equations, which are the equations obtained by taking various averages over velocities.

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9

Morawetz, Klaus. Classical Kinetic Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0003.

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The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of state. The interaction of particles via long-range potential tails is approximated by a mean field which acts as an external field. The effect of the mean field on free particles is covered by the momentum drift. The effect of the mean field on the colliding pairs causes the momentum and the energy gains which enter the scattering integral and lead to an internal mechanism of energy conversion. The entropy production is shown and the nonequilibrium hydrodynamic equations are derived. Two concepts of quasiparticle, the spectral and the variational one, are explored with the help of the virial of forces.

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10

Introductory Transport Theory for Charged Particles in Gases. World Scientific Publishing Company, 2006.

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11

Quantum Kinetic Theory and Applications: Electrons, Photons, Phonons. Springer, 2005.

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12

Tadmor, Eitan, Nicola Bellomo, and Pierre Degond. Active Particles, Volume 1: Advances in Theory, Models, and Applications. Birkhäuser, 2017.

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13

Tadmor, Eitan, Nicola Bellomo, and Pierre Degond. Active Particles, Volume 1: Advances in Theory, Models, and Applications. Birkhäuser, 2018.

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14

Tadmor, Eitan, Nicola Bellomo, and José Antonio Carrillo. Active Particles, Volume 3: Advances in Theory, Models, and Applications. Springer International Publishing AG, 2022.

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15

Tadmor, Eitan, Nicola Bellomo, and Pierre Degond. Active Particles, Volume 2: Advances in Theory, Models, and Applications. Birkhäuser, 2019.

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16

Tadmor, Eitan, Nicola Bellomo, and Pierre Degond. Active Particles, Volume 2: Advances in Theory, Models, and Applications. Springer International Publishing AG, 2020.

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17

Kashlev, Yurii. Kinetics and Thermodynamics of Fast Particles in Solids. Taylor & Francis Group, 2012.

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18

Kinetics and Thermodynamics of Fast Particles in Solids. Taylor & Francis Group, 2012.

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19

Kashlev, Yurii. Kinetics and Thermodynamics of Fast Particles in Solids. Taylor & Francis Group, 2012.

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20

Kashlev, Yurii. Kinetics and Thermodynamics of Fast Particles in Solids. Taylor & Francis Group, 2012.

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21

Kashlev, Yurii. Kinetics and Thermodynamics of Fast Particles in Solids. Taylor & Francis Group, 2019.

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22

Klimontovich, Yu L. Statistical Theory of Open Systems: Volume 1: A Unified Approach to Kinetic Description of Processes in Active Systems (Fundamental Theories of Physics). Springer, 1994.

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23

Anderson, James A. Brain Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/acprof:oso/9780199357789.003.0013.

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The elementary particles of cognition are concepts. Simple, accurate association alone can be misleading. Cognitive concepts work as valuable cognitive data compression, for example, giving a set of related items the same class name: tables, chairs, birds. Cognitive concepts also contain internal structure with good and bad examples and have fuzzy edges. Concepts can be associatively linked in semantic networks to store and retrieve information. Cognition using networks is an active search process and need not require further learning to be useful. Low-level concepts can lead to the formation of higher level abstractions. An experiment by Deidre Gentner involves perception of identity in pairs of items; some pairs the same and some not. Seeing many identical pairs allows the abstraction of “identity.” The abstract relationship “identity” can then become more powerful than the details of any single example pair.

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24

Darrigol, Olivier, and Jürgen Renn. The Emergence of Statistical Mechanics. Edited by Jed Z. Buchwald and Robert Fox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199696253.013.26.

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This article traces the history of statistical mechanics, beginning with a discussion of mechanical models of thermal phenomena. In particular, it considers how several circumstances, including the establishment of thermodynamics in the mid-nineteenth century, led to a focus on the model of heat as a motion of particles. It then describes the concept of heat as fluid and the kinetic theory before turning to gas theory and how it served as a bridge between mechanics and thermodynamics. It also explores gases as particles in motion, the Maxwell–Boltzmann distribution, the problem of specific heats, challenges to the second law of thermodynamics, and the probabilistic interpretation of entropy. Finally, it examines how the results of the kinetic theory assumed a new meaning as cornerstones of a more broadly conceived statistical physics, along with Josiah Willard Gibbs and Albert Einstein’s development of statistical mechanics as a synthetic framework.

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25

Morawetz, Klaus. Nonequilibrium Quantum Hydrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0015.

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The balance equations resulting from the nonlocal kinetic equation are derived. They show besides the Landau-like quasiparticle contributions explicit two-particle correlated parts which can be interpreted as molecular contributions. It looks like as if two particles form a short-living molecule. All observables like density, momentum and energy are found as a conserving system of balance equations where the correlated parts are in agreement with the forms obtained when calculating the reduced density matrix with the extended quasiparticle functional. Therefore the nonlocal kinetic equation for the quasiparticle distribution forms a consistent theory. The entropy is shown to consist also of a quasiparticle part and a correlated part. The explicit entropy gain is proved to complete the H-theorem even for nonlocal collision events. The limit of Landau theory is explored when neglecting the delay time. The rearrangement energy is found to mediate between the spectral quasiparticle energy and the Landau variational quasiparticle energy.

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26

Seth, Raghav, and George E. Smith. Brownian Motion and Molecular Reality. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190098025.001.0001.

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Legend has it that Jean Perrin’s experiments on Brownian motion between 1905 and 1913 “put a definite end to the long struggle regarding the real existence of molecules.” Close examination of these experiments, however, shows how little access they gained to the molecular realm. They did succeed in determining mean kinetic energies of particles in Brownian motion, but the values for molecular magnitudes Perrin inferred from them simply presupposed that those energies match the mean kinetic energies of molecules in the surrounding fluid. This presupposition became increasingly suspect between 1908 and 1913 as distinctly different values for these magnitudes were obtained from alpha-particle emissions (by Rutherford et al.), from ionization (by Millikan), and from Planck’s blackbody radiation equation. This monograph explains how Perrin’s measurements of the kinetic energies in Brownian motion were nevertheless exemplars of theory-mediated measurement—the practice of inferring values for inaccessible quantities from values of accessible proxies via theoretical relationships between them. Moreover, though Planck in 1900 had proposed turning to complementary theory-mediated measurements of interlinked molecular magnitudes as a source of evidence, it was Perrin more than anyone else who championed this approach. The concerted efforts of Rutherford, Millikan, Planck, Perrin, and their colleagues during the years in question led to evidence of this form becoming central to microphysics. The analysis here of how this came about replaces an untenable legend with an account that is not only tenable, but far more instructive about what the evidence did and did not show.

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27

Morawetz, Klaus. Interacting Systems far from Equilibrium. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.001.0001.

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In quantum statistics based on many-body Green’s functions, the effective medium is represented by the selfenergy. This book aims to discuss the selfenergy from this point of view. The knowledge of the exact selfenergy is equivalent to the knowledge of the exact correlation function from which one can evaluate any single-particle observable. Complete interpretations of the selfenergy are as rich as the properties of the many-body systems. It will be shown that classical features are helpful to understand the selfenergy, but in many cases we have to include additional aspects describing the internal dynamics of the interaction. The inductive presentation introduces the concept of Ludwig Boltzmann to describe correlations by the scattering of many particles from elementary principles up to refined approximations of many-body quantum systems. The ultimate goal is to contribute to the understanding of the time-dependent formation of correlations. Within this book an up-to-date most simple formalism of nonequilibrium Green’s functions is presented to cover different applications ranging from solid state physics (impurity scattering, semiconductor, superconductivity, Bose–Einstein condensation, spin-orbit coupled systems), plasma physics (screening, transport in magnetic fields), cold atoms in optical lattices up to nuclear reactions (heavy-ion collisions). Both possibilities are provided, to learn the quantum kinetic theory in terms of Green’s functions from the basics using experiences with phenomena, and experienced researchers can find a framework to develop and to apply the quantum many-body theory straight to versatile phenomena.

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28

Садовников, Василий. Теория гетерогенного катализа. Теория хемосорбции. Publishing House Triumph, 2021. http://dx.doi.org/10.32986/978-5-40-10-01-2001.

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This monograph is a continuation of the monograph by V.V. Sadovnikov. Lateral interaction. Moscow 2006. Publishing house "Anta-Eco", 2006. ISBN 5-9730-0017-6. In this work, the foundations of the theory of heterogeneous catalysis and the theory of chemisorption are more easily formulated. The book consists of two parts, closely related to each other. These are the theoretical foundations of heterogeneous catalysis and chemisorption. In the theory of heterogeneous catalysis, an experiment is described in detail, which must be carried out in order to isolate the stages of a catalytic reaction, to find the stoichiometry of each of the stages. This experiment is based on the need to obtain the exact value of the specific surface area of the catalyst, the number of centers at which the reaction proceeds, and the output curves of each of the reaction products. The procedures for obtaining this data are described in detail. Equations are proposed and solved that allow calculating the kinetic parameters of the nonequilibrium stage and the thermodynamic parameters of the equilibrium stage. The description of the quantitative theory of chemisorption is based on the description of the motion of an atom along a crystal face. The axioms on which this mathematics should be based are formulated, the mathematical apparatus of the theory is written and the most detailed instructions on how to use it are presented. The first axiom: an atom, moving along the surface, is present only in places with minima of potential energy. The second axiom: the face of an atom is divided into cells, and the position of the atom on the surface of the face is set by one parameter: the cell number. The third axiom: the atom interacts with the surrounding material bodies only at the points of minimum potential energy. The fourth axiom: the solution of the equations is a map of the arrangement of atoms on the surface. The fifth axiom: quantitative equations are based on the concept of a statistically independent particle. The formation energies of these particles and their concentration are calculated by the developed program. The program based on these axioms allows you to simulate and calculate the interaction energies of atoms on any crystal face. The monograph is intended for students, post-graduate students and researchers studying work and working in petrochemistry and oil refining.

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