Listing 1 - 10 of 13 | << page >> |
Sort by
|
Choose an application
Choose an application
Relaxation methods (Mathematics) --- Relaxation, Méthodes de (mathématiques) --- Analyse numérique --- Numerical analysis. --- Equations aux derivees partielles --- Boltzmann equation --- Methodes numeriques --- Equations aux derivees partielles --- Boltzmann equation --- Methodes numeriques
Choose an application
Choose an application
Polymers. --- Chemical kinetics. --- Aging tests materials --- Materials --- Creep properties --- Mechanical properties --- Relaxation mechanics --- Electric property --- Cracking fracturing --- Impact tests --- Glass fibers --- Extrapolation --- Dilatometry --- Tension tests --- Boltzmann equation --- Aging tests materials --- Materials --- Creep properties --- Mechanical properties --- Relaxation mechanics --- Electric property --- Cracking fracturing --- Impact tests --- Glass fibers --- Extrapolation --- Dilatometry --- Tension tests --- Boltzmann equation
Choose an application
The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics. The book systematizes rigorous results obtained in this field in recent years, and it presents contemporary methods for the investigation of evolution equations of infinite-particle systems. The book is intended for experts in statistical physics, mathematical physics, and probability theory and for students of universities specialized in mathematics and physics.
Transport theory. --- Stochastic processes. --- Random processes --- Probabilities --- Boltzmann transport equation --- Transport phenomena --- Mathematical physics --- Particles (Nuclear physics) --- Radiation --- Statistical mechanics --- Boltzmann Equation. --- Hamilton Dynamics. --- Ito-Louiville Equation Boundary Conditions. --- Stochastic Boltzmann Hierarchy. --- System of Hard Spheres.
Choose an application
The PIDM model consists in two types of dark matter, one component of which accounts for a small portion of the total amount of dark matter and is self-interacting. The aim is to establish the characteristics of this subdominant dark-matter part. We first present the dark matter concept by reviewing the historical evidence of dark matter as well as the different sorts of dark matter. Then we introduce the concordance model in cosmology and evoke its small-scales defects. Dark-matter models are then mentioned to solve these problems, one of which being the PIDM model. Next, starting from the Boltzmann equation, we derive a formula allowing to compute the relic density of a species and we test it for the WIMP model. Then we derive a precise expression for the thermally averaged annihilation cross section. In doing so, we determine the characteristics of the subdominant dark-matter particles by constraining the thermally averaged annihilation cross section so that its abundance remains small compared to the total dark-matter abundance as stated by the PIDM model.
dark matter --- subdominant --- self-interacting --- abundance --- relic density --- WIMP --- PIDM --- freeze-out --- Boltzmann equation --- thermally averaged annihilation cross section --- kinetic mixing --- Physique, chimie, mathématiques & sciences de la terre > Aérospatiale, astronomie & astrophysique
Choose an application
Problems in theoretical physics often lead to paradoxical answers; yet closer reasoning and a more complete analysis invariably lead to the resolution of the paradox and to a deeper understanding of the physics involved. Drawing primarily from his own experience and that of his collaborators, Sir Rudolf Peierls selects examples of such "surprises" from a wide range of physical theory, from quantum mechanical scattering theory to the theory of relativity, from irreversibility in statistical mechanics to the behavior of electrons in solids. By studying such surprises and learning what kind of possibilities to look for, he suggests, scientists may be able to avoid errors in future problems. In some cases the surprise is that the outcome of a calculation is contrary to what physical intuition seems to demand. In other instances an approximation that looks convincing turns out to be unjustified, or one that looks unreasonable turns out to be adequate. Professor Peierls does not suggest, however, that theoretical physics is a hazardous game in which one can never foresee the surprises a detailed calculation might reveal. Rather, he contends, all the surprises discussed have rational explanations, most of which are very simple, at least in principle. This book is based on the author's lectures at the University of Washington in the spring of 1977 and at the Institut de Physique Nucleaire, University de Paris-Sud, Orsay, during the winter of 1977-1978.
Mathematical physics. --- Physical mathematics --- Physics --- Mathematics --- "Shadow Scattering. --- Angle Operator. --- Bethe-Goldstone potential. --- Boltzmann equation. --- Debye's argument. --- Hartree-Fock method. --- Ionization. --- Irreversibility. --- Lagrange variables. --- Pauli Principle in Metals. --- Quantum Mechanics. --- Radiation in Hyperbolic Motion. --- Statistical Physics. --- Stem-Gerlach experiment. --- The Shell Model. --- Waves and Particles. --- angular momentum. --- atomic physics. --- harmonic approximation". --- ordinary perturbation theory. --- pseudomomentum. --- scattering processes. --- wave function.
Choose an application
The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev’s approach, which generalizes the notion of Gibbs’ ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev’s method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly
Research & information: general --- relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential --- relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential
Choose an application
As faster and more efficient numerical algorithms become available, the understanding of the physics and the mathematical foundation behind these new methods will play an increasingly important role. This Special Issue provides a platform for researchers from both academia and industry to present their novel computational methods that have engineering and physics applications.
Research & information: general --- Mathematics & science --- radial basis functions --- finite difference methods --- traveling waves --- non-uniform grids --- chaotic oscillator --- one-step method --- multi-step method --- computer arithmetic --- FPGA --- high strain rate impact --- modeling and simulation --- smoothed particle hydrodynamics --- finite element analysis --- hybrid nanofluid --- heat transfer --- non-isothermal --- shrinking surface --- MHD --- radiation --- multilayer perceptrons --- quaternion neural networks --- metaheuristic optimization --- genetic algorithms --- micropolar fluid --- constricted channel --- MHD pulsatile flow --- strouhal number --- flow pulsation parameter --- multiple integral finite volume method --- finite difference method --- Rosenau-KdV --- conservation --- solvability --- convergence --- transmission electron microscopy (TEM) --- convolutional neural networks (CNN) --- anomaly detection --- principal component analysis (PCA) --- machine learning --- deep learning --- neural networks --- Gallium-Arsenide (GaAs) --- radiation-based flowmeter --- two-phase flow --- feature extraction --- artificial intelligence --- time domain --- Boltzmann equation --- collision integral --- convolutional neural network --- annular regime --- scale layer-independent --- petroleum pipeline --- volume fraction --- dual energy technique --- prescribed heat flux --- similarity solutions --- dual solutions --- stability analysis --- RBF-FD --- node sampling --- lebesgue constant --- complex regions --- finite-difference methods --- data assimilation --- model order reduction --- finite elements analysis --- high dimensional data --- welding --- radial basis functions --- finite difference methods --- traveling waves --- non-uniform grids --- chaotic oscillator --- one-step method --- multi-step method --- computer arithmetic --- FPGA --- high strain rate impact --- modeling and simulation --- smoothed particle hydrodynamics --- finite element analysis --- hybrid nanofluid --- heat transfer --- non-isothermal --- shrinking surface --- MHD --- radiation --- multilayer perceptrons --- quaternion neural networks --- metaheuristic optimization --- genetic algorithms --- micropolar fluid --- constricted channel --- MHD pulsatile flow --- strouhal number --- flow pulsation parameter --- multiple integral finite volume method --- finite difference method --- Rosenau-KdV --- conservation --- solvability --- convergence --- transmission electron microscopy (TEM) --- convolutional neural networks (CNN) --- anomaly detection --- principal component analysis (PCA) --- machine learning --- deep learning --- neural networks --- Gallium-Arsenide (GaAs) --- radiation-based flowmeter --- two-phase flow --- feature extraction --- artificial intelligence --- time domain --- Boltzmann equation --- collision integral --- convolutional neural network --- annular regime --- scale layer-independent --- petroleum pipeline --- volume fraction --- dual energy technique --- prescribed heat flux --- similarity solutions --- dual solutions --- stability analysis --- RBF-FD --- node sampling --- lebesgue constant --- complex regions --- finite-difference methods --- data assimilation --- model order reduction --- finite elements analysis --- high dimensional data --- welding
Choose an application
This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population. While originating in economics, this theory now has applications in areas as diverse as mathematical finance, crowd phenomena, epidemiology, and cybersecurity.Because mean field games concern the interactions of infinitely many players in an optimal control framework, one expects them to appear as the limit for Nash equilibria of differential games with finitely many players, as the number of players tends to infinity. This book rigorously establishes this convergence, which has been an open problem until now. The limit of the system associated with differential games with finitely many players is described by the so-called master equation, a nonlocal transport equation in the space of measures. After defining a suitable notion of differentiability in the space of measures, the authors provide a complete self-contained analysis of the master equation. Their analysis includes the case of common noise problems in which all the players are affected by a common Brownian motion. They then go on to explain how to use the master equation to prove the mean field limit.This groundbreaking book presents two important new results in mean field games that contribute to a unified theoretical framework for this exciting and fast-developing area of mathematics.
Convergence. --- Mean field theory. --- Many-body problem --- Statistical mechanics --- Functions --- A priori estimate. --- Approximation. --- Bellman equation. --- Boltzmann equation. --- Boundary value problem. --- C0. --- Chain rule. --- Compact space. --- Computation. --- Conditional probability distribution. --- Continuous function. --- Convergence problem. --- Convex set. --- Cooperative game. --- Corollary. --- Decision-making. --- Derivative. --- Deterministic system. --- Differentiable function. --- Directional derivative. --- Discrete time and continuous time. --- Discretization. --- Dynamic programming. --- Emergence. --- Empirical distribution function. --- Equation. --- Estimation. --- Euclidean space. --- Folk theorem (game theory). --- Folk theorem. --- Heat equation. --- Hermitian adjoint. --- Implementation. --- Initial condition. --- Integer. --- Large numbers. --- Linearization. --- Lipschitz continuity. --- Lp space. --- Macroeconomic model. --- Markov process. --- Martingale (probability theory). --- Master equation. --- Mathematical optimization. --- Maximum principle. --- Method of characteristics. --- Metric space. --- Monograph. --- Monotonic function. --- Nash equilibrium. --- Neumann boundary condition. --- Nonlinear system. --- Notation. --- Numerical analysis. --- Optimal control. --- Parameter. --- Partial differential equation. --- Periodic boundary conditions. --- Porous medium. --- Probability measure. --- Probability theory. --- Probability. --- Random function. --- Random variable. --- Randomization. --- Rate of convergence. --- Regime. --- Scientific notation. --- Semigroup. --- Simultaneous equations. --- Small number. --- Smoothness. --- Space form. --- State space. --- State variable. --- Stochastic calculus. --- Stochastic control. --- Stochastic process. --- Stochastic. --- Subset. --- Suggestion. --- Symmetric function. --- Technology. --- Theorem. --- Theory. --- Time consistency. --- Time derivative. --- Uniqueness. --- Variable (mathematics). --- Vector space. --- Viscosity solution. --- Wasserstein metric. --- Weak solution. --- Wiener process. --- Without loss of generality.
Listing 1 - 10 of 13 | << page >> |
Sort by
|