Continuum Limits Of Particles Interacting Via Diffusion
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Continuum Limits Of Particles Interacting Via Diffusion
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Author : Nicholas D. Alikakos
language : en
Publisher:
Release Date : 2002
Continuum Limits Of Particles Interacting Via Diffusion written by Nicholas D. Alikakos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Cellular Automata And Modeling Of Complex Physical Systems
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Author : Paul Manneville
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cellular Automata And Modeling Of Complex Physical Systems written by Paul Manneville and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.
Hydrodynamic Behavior And Interacting Particle Systems
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Author : George Papanicolaou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hydrodynamic Behavior And Interacting Particle Systems written by George Papanicolaou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This IMA Volume in Mathematics and its Applications HYDRODYNAMIC BEHAVIOR AND INTERACTING PARTICLE SYSTEMS is in part the proceedings of a workshop which was an integral part of the 1985-86 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS. We are grateful to the Scientific Committee: Daniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We especially thank the Program Organizer, George Papanicolaou for orga nizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinberger PREFACE A workshop on the hydrodynamic behavior of interacting particle systems was held at the Institute for Mathematics and its Applications at the University of Minnesota during the week of March 17, 1986. Fifteen papers presented at the workshop are collected in this volume. They contain research in several different directions that are currently being pursued. The paper of Chaikin, Dozier and Lindsay is concerned with experimental results on suspensions in regimes where modern mathematical methods could be useful. The paper of Fritz gives an introduction to these methods as does the paper of Spohn. Analytical methods currently used by in the physics and chemistry literature are presented in the paper of Freed, Wang and Douglas. The paper of Caflisch deals with time dependent effects in sedimentation.
Discrete Kinetic Theory Lattice Gas Dynamics And Foundations Of Hydrodynamics Proceedings Of The Workshop
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Author : Roberto Monaco
language : en
Publisher: World Scientific
Release Date : 1989-04-01
Discrete Kinetic Theory Lattice Gas Dynamics And Foundations Of Hydrodynamics Proceedings Of The Workshop written by Roberto Monaco and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-01 with categories.
The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.
Lattice Gas Methods
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Author : Gary D. Doolen
language : en
Publisher: MIT Press
Release Date : 1991
Lattice Gas Methods written by Gary D. Doolen and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids.Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations.The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.
Critical Dynamics
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Author : Uwe C. Täuber
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-06
Critical Dynamics written by Uwe C. Täuber and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Science categories.
A comprehensive and unified introduction to describing and understanding complex interacting systems.
Statistical Mechanics
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Author : James Sethna
language : en
Publisher: Oxford University Press, USA
Release Date : 2006-04-06
Statistical Mechanics written by James Sethna and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Computers categories.
Sethna distills the core ideas of statistical mechanics to make room for new advances important to information theory, complexity, and modern biology. He explores everything from chaos through to life at the end of the universe.
Hydrodynamic Scaling Limit Of Continuum Solid On Solid Model
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Author : Anamaria Savu
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2011-08
Hydrodynamic Scaling Limit Of Continuum Solid On Solid Model written by Anamaria Savu and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08 with categories.
Interacting particle systems are stochastic processes proposed by statistical mechanics for the movement of particles at the microscopic scale, with the aim to explain certain physical phenomena. The book discuses the continuum solid-on-solid model, also known as the fourth-order Ginzurg-Landau model, a model developed to understand the relaxation to equilibrium of a crystal surface through diffusion. With rigorous arguments the hydrodynamic scaling limit of continuum solid-on-solid model is shown to be a fourth-order, nonlinear partial differential equation. The fluctuation-dissipation equation of the model is established due to the mathematical result that the model exact functions form a subspace of codimension one in the space of closed functions. Connections between the spaces of closed and exact functions for the second-order Ginzburg-Landau model and algebraic topology are described.
Stochastic Ordinary And Stochastic Partial Differential Equations
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Author : Peter Kotelenez
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-05
Stochastic Ordinary And Stochastic Partial Differential Equations written by Peter Kotelenez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-05 with Mathematics categories.
Stochastic Partial Differential Equations analyzes mathematical models of time-dependent physical phenomena on microscopic, macroscopic and mesoscopic levels. It provides a rigorous derivation of each level from the preceding one and examines the resulting mesoscopic equations in detail. Coverage first describes the transition from the microscopic equations to the mesoscopic equations. It then covers a general system for the positions of the large particles.
Dynamics And Thermodynamics Of Systems With Long Range Interactions
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Author : Thierry Dauxois
language : en
Publisher: Springer
Release Date : 2008-01-11
Dynamics And Thermodynamics Of Systems With Long Range Interactions written by Thierry Dauxois and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
Properties of systems with long range interactions are still poorly understood despite being of importance in most areas of physics. The present volume introduces and reviews the effort of constructing a coherent thermodynamic treatment of such systems by combining tools from statistical mechanics with concepts and methods from dynamical systems. Analogies and differences between various systems are examined by considering a large range of applications, with emphasis on Bose--Einstein condensates. Written as a set of tutorial reviews, the book will be useful for both the experienced researcher as well as the nonexpert scientist or postgraduate student.