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Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Nasr Ghoniem and Daniel Walgraef

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

In materials, critical phenomena such as phase transitions, plastic deformation and fracture are intimately related to self-organization. Understanding the origin of spatio-temporal order in systems ... More


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


Adaptive Diversification and Speciation as Pattern Formation in Partial Differential Equation Models

Michael Doebeli

in Adaptive Diversification (MPB-48)

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691128931
eISBN:
9781400838936
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691128931.003.0009
Subject:
Biology, Biodiversity / Conservation Biology

This chapter discusses partial differential equation models. Partial differential equations can describe the dynamics of phenotype distributions of polymorphic populations, and they allow for a ... More


Pattern Formation and Spatiotemporal Chaos

Robert C. Hilborn

in Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507239
eISBN:
9780191709340
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507239.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

When a dynamical system has significant spatial extent, its nonlinear dynamics can lead to the spontaneous formation of spatial patterns. Such systems provide models for how nature might have ... More


INTRODUCTION

Nasr M. Ghoniem and Daniel D. Walgraef

in Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This introductory chapter presents some ideas and key concepts in materials science. These include developments in the field of materials science, examples demonstrating the critical role played by ... More


ELASTIC THEORY OF DEFECTS

Nasr M. Ghoniem and Daniel D. Walgraef

in Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

Defects play a critical role in many material phenomena, and their relationship to instabilities and pattern formation is well-established. This chapter presents a brief description of the main types ... More


Pattern Formation

Paul Charbonneau

in Natural Complexity: A Modeling Handbook

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691176840
eISBN:
9781400885497
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691176840.003.0011
Subject:
Computer Science, Programming Languages

This chapter examines the complex nature of pattern formation in excitable systems. Many physical, chemical, and biological systems are considered excitable, in which two “components” interact in ... More


The erotetic organization of developmental biology

Alan C. Love

in Towards a Theory of Development

Published in print:
2014
Published Online:
August 2014
ISBN:
9780199671427
eISBN:
9780191781117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199671427.003.0003
Subject:
Biology, Developmental Biology

Developmental biology is devoted to explaining how a variety of interacting processes generate the heterogeneous shapes, size, and structural features of an organism as it develops from embryo to ... More


Agents, Intelligence, and Social Atoms

Alex Bentley and Paul Ormerod

in Creating Consilience: Integrating the Sciences and the Humanities

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199794393
eISBN:
9780199919338
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199794393.003.0012
Subject:
Philosophy, General, Philosophy of Science

Traditionally, quantitative social scientists have, for mathematical convenience, assumed that human collective behavior gravitates toward equilibrium. As part of this tradition, mainstream economics ... More


Searching for Non-Causal Explanations in a Sea of Causes

Alisa Bokulich

in Explanation Beyond Causation: Philosophical Perspectives on Non-Causal Explanations

Published in print:
2018
Published Online:
June 2018
ISBN:
9780198777946
eISBN:
9780191823404
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198777946.003.0008
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

In the spirit of explanatory pluralism, this chapter argues that causal and non-causal explanations of a phenomenon are compatible, each being useful for bringing out different sorts of insights. ... More


Biomedical Fluid Dynamics: Flow and Form

Troy Shinbrot

Published in print:
2019
Published Online:
June 2019
ISBN:
9780198812586
eISBN:
9780191850721
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198812586.001.0001
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This book provides an overview of fundamental methods and advanced topics associated with complex, especially biological, fluids. The contents are taken from a graduate level course taught to ... More


Synchronization, Non-linear Dynamics and Control

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter is entirely devoted to characterizing non-linear dynamics on multilayer networks. Special attention is given to recent results on the stability of synchronization that extend the Master ... More


Alternative stable states, tipping points, and early warning signals of ecological transitions

John M. Drake, Suzanne M. O’Regan, Vasilis Dakos, Sonia Kéfi, and Pejman Rohani

in Theoretical Ecology: concepts and applications

Published in print:
2020
Published Online:
July 2020
ISBN:
9780198824282
eISBN:
9780191863271
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198824282.003.0015
Subject:
Biology, Ecology, Biomathematics / Statistics and Data Analysis / Complexity Studies

Ecological systems are prone to dramatic shifts between alternative stable states. In reality, these shifts are often caused by slow forces external to the system that eventually push it over a ... More


Lattice Boltzmann for reactive flows

Sauro Succi

in The Lattice Boltzmann Equation: For Complex States of Flowing Matter

Published in print:
2018
Published Online:
June 2018
ISBN:
9780199592357
eISBN:
9780191847967
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199592357.003.0026
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

The dynamics of reactive flows lies at the heart of several important applications, such as combustion, heterogeneous catalysis, pollutant conversion, pattern formation in biology and many others. In ... More


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