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Granular Patterns

Igor Aranson and Lev Tsimring

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534418
eISBN:
9780191714665
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534418.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book is a systematic introduction to the new and rapidly evolving field of patterns in granular materials. Granular matter is usually defined as a collection of discrete macroscopic solid ... More


Electrons and Disorder in Solids

V. F. Gantmakher

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book contains modern concepts about the physics of electrons in solids. It is written using a minimum of mathematics, with the emphasis on various physical models aimed at stimulating creative ... More


High-Energy Tail of the Velocity Distribution Function

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

The velocity distribution function of particles whose velocities exceed the thermal velocity cannot be described by a Maxwell distribution. This chapter shows that this part of the velocity ... More


Two-Dimensional Granular Gases

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

Under certain experimental conditions, granular gases behave as if they are effectively two-dimensional. Computer simulations are often performed for two-dimensional systems due to the limitations of ... More


Two-Dimensional Granular Gases

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

It has been shown for molecular fluids that the velocity-time correlation function in ddimensions exhibits a power-law dependence for t >> 1. This function reveals a long time tail compared with an ... More


Kinetic Coefficients For Granular Gases Of Simplified Particles (ε = CONST)

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0020
Subject:
Physics, Condensed Matter Physics / Materials

This chapter generalizes the Chapman–Enskog approach for the case of granular gases whose particles collide inelastically. Under the assumption of constant coefficient of restitution, the kinetic ... More


Kinetic Coefficients for Granular Gases of Viscoelastic Particles

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0021
Subject:
Physics, Condensed Matter Physics / Materials

This chapter analyzes the kinetic coefficients for granular gases of viscoleastic particles. The kinetic coefficients reveal a much more complicated time and temperature dependence than for the case ... More


Two-Dimensional Granular Gases

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0023
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses constant coefficient of restitution and granular gases of viscoelastic particles.


Instability of The Homogeneous Cooling State

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0024
Subject:
Physics, Condensed Matter Physics / Materials

The homogeneous cooling state of a granular gas is inherently unstable. The formation of vortices and clusters can by explained qualitatively by simple arguments. This chapter derives a set of ... More


Structure Formation in Granular Gases of Viscoelastic Particles

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0026
Subject:
Physics, Condensed Matter Physics / Materials

This chapter begins with a discussion of linearized equations for hydrodynamic modes. It then discusses stability analysis of the hydrodynamic modes and structure formation, and structure formation ... More


Nonlinear Mechanisms of Structure Formation

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0027
Subject:
Physics, Condensed Matter Physics / Materials

The enslaving temperature by the shear mode leads to an inverse dependence of pressure on density, that is, to a clustering instability. This chapter shows that for a granular gas of viscoelastic ... More


Two-Dimensional Granular Gases

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0028
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents hydrodynamic equations for two-dimensional granular gases.


Particle Collisions

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter introduces the notation to describe particle collisions using the coefficient of restitution. It raises the question of whether the coefficient of restitution is adequate to describe ... More


Cooling Granular Gas — Haff's Law

Nikolai V. Brilliantov and Thorsten Pöschel

in Kinetic Theory of Granular Gases

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses cooling granular gas. During the first stage of its evolution, a force-free, initially uniform granular gas remains homogeneous, while the mean velocity of its particles ... More


Introduction

Igor S. Aranson and Lev S. Tsimring

in Granular Patterns

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534418
eISBN:
9780191714665
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534418.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter contains introductory remarks and a brief discussion of fundamental challenges in the field of pattern formation in granular media. It also discusses the structure and organization of ... More


Experimental overview of patterns in granular matter

Igor S. Aranson and Lev S. Tsimring

in Granular Patterns

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534418
eISBN:
9780191714665
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534418.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents a brief experimental overview of key granular patterns and phenomena. It introduces basic experimental systems, such as vertically and horizontally vibrated granular layers, ... More


Phase transitions, clustering, and coarsening in granular gases

Igor S. Aranson and Lev S. Tsimring

in Granular Patterns

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534418
eISBN:
9780191714665
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534418.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses theoretical approaches to modeling patterns that emerge in dilute granular systems with or without external excitation. It begins with the simplest possible realization of such ... More


Surface waves and patterns in periodically vibrated granular layers

Igor S. Aranson and Lev S. Tsimring

in Granular Patterns

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534418
eISBN:
9780191714665
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534418.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines pattern-forming phenomena in thin layers of granular materials subjected to low-frequency periodic vertical vibration above the acceleration of gravity. Compared to driven ... More


Patterns in gravity-driven granular flows

Igor S. Aranson and Lev S. Tsimring

in Granular Patterns

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199534418
eISBN:
9780191714665
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534418.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter provides an overview of mechanisms and theoretical models of pattern formation in dense gravity-driven granular flows. A wide range of phenomena, from one- and two-dimensional avalanches ... More


Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

David Sherrington

Paul Goldbart and Nigel Goldenfeld (eds)

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The collection of trails blazed by Sam Edwards during half a century of fundamental research in theoretical physics is truly astonishing. He led theoretical physics into uncharted territories from ... More


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