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## Effective Theories for Ostwald Ripening

*Barbara Niethammer*

### in Analysis and Stochastics of Growth Processes and Interface Models

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199239252
- eISBN:
- 9780191716911
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199239252.003.0010
- Subject:
- Mathematics, Probability / Statistics, Analysis

This chapter discusses the derivation and analysis of reduced models for a coarsening process known as Ostwald ripening, which is a paradigm for statistical self-similarity in coarsening systems. The ... More

## Principles of systematic upscaling

*Achi Brandt*

### in Multiscale Methods: Bridging the Scales in Science and Engineering

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199233854
- eISBN:
- 9780191715532
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199233854.003.0007
- Subject:
- Mathematics, Applied Mathematics

Building on the complementary advantages of Renormalization Group (RG) and multigrid (MG) methods, Systematic Upscaling (SU) comprises rigorous procedures for deriving suitable variables and ... More

## PRECIPITATION STRENGTHENING

*A. S. Argon*

### in Strengthening Mechanisms in Crystal Plasticity

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198516002
- eISBN:
- 9780191705717
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198516002.003.0006
- Subject:
- Physics, Crystallography: Physics

Discrete obstacles, particularly in the form of precipitates of second phases with coherent or incoherent interfaces, dispersed crystalline or glassy nano-scale particles, and aggregates of point ... More

## Foams: Structure and Dynamics

*Isabelle Cantat, Sylvie Cohen-Addad, Florence Elias, François Graner, Reinhard Höhler, Olivier Pitois, Florence Rouyer, and Arnaud Saint-Jalmes*

*Simon Cox (ed.)*

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199662890
- eISBN:
- 9780191763038
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199662890.001.0001
- Subject:
- Physics, Soft Matter / Biological Physics

Aqueous foams are studied both as materials with many applications, and as model systems for fields ranging from metallurgy to mathematics to biology. They are complex fluids with unique and unusual ... More

## Birth, life, and death

*Isabelle Cantat*

### in Foams: Structure and Dynamics

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199662890
- eISBN:
- 9780191763038
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199662890.003.0003
- Subject:
- Physics, Soft Matter / Biological Physics

We first introduce qualitatively the different mechanisms by which a foam forms, ages, rearranges, and then collapses, which collectively determine foam stability and lifetime. We explain why it is ... More

## Implementation

*Rüdiger Verfürth*

### in A Posteriori Error Estimation Techniques for Finite Element Methods

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199679423
- eISBN:
- 9780191758485
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199679423.003.0002
- Subject:
- Mathematics, Applied Mathematics, Numerical Analysis

We show how to use a posteriori error indicators for devising self-adaptive discretizations. The main techniques are mesh-refinement, mesh-coarsening, and mesh-smoothing. We also present some sample ... More

## Asymptotic Fields and Asymptotic Couples

*Matthias Aschenbrenner, Lou van den Dries, and Joris van der Hoeven*

### in Asymptotic Differential Algebra and Model Theory of Transseries

- Published in print:
- 2017
- Published Online:
- October 2017
- ISBN:
- 9780691175423
- eISBN:
- 9781400885411
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175423.003.0010
- Subject:
- Mathematics, Computational Mathematics / Optimization

This chapter deals with asymptotic differential fields and their asymptotic couples. Asymptotic fields include Rosenlicht's differential-valued fields and share many of their basic properties. A key ... More

## Wealth and Security Advantages of Partial Independence

*David A. Rezvani*

### in Surpassing the Sovereign State: The Wealth, Self-Rule, and Security Advantages of Partially Independent Territories

- Published in print:
- 2014
- Published Online:
- August 2014
- ISBN:
- 9780199688494
- eISBN:
- 9780191767739
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199688494.003.0008
- Subject:
- Political Science, Democratization

Chapter 8 makes the case that partial independence has significant economic and security advantages over full independence. In particular the chapter places special emphasis on comparisons between ... More

## Abrupt phase transitions

*James P. Sethna*

### in Statistical Mechanics: Entropy, Order Parameters, and Complexity: Second Edition

- Published in print:
- 2021
- Published Online:
- April 2021
- ISBN:
- 9780198865247
- eISBN:
- 9780191897610
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198865247.003.0011
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter studies abrupt phase transitions, familiar from boiling water, raindrops, snowflake formation, and frost. At these transitions, the properties change abruptly -- the ice cube and the ... More

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