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Introduction to disorder $: NSF Boulder Summer School, July 2015 Soft Matter In and Out of Equilibrium Leo Radzihovsky

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Page 1: Introduction to disorder - Yale University

Introduction to disorder

$: NSF Boulder Summer School, July 2015

Soft Matter In and Out of Equilibrium

Leo Radzihovsky

Page 2: Introduction to disorder - Yale University

Outline

•  Introduction and motivation �

•  Disorder near a continuous phase transition �

•  Disorder near ordered states�

•  Examples of physical systems�

Page 3: Introduction to disorder - Yale University

Physical examples

Page 4: Introduction to disorder - Yale University

Physical examples

charge density wave�

liquid crystals in aerogel �(Bellini, RT, Toner, Clark Science 2001) �

Page 5: Introduction to disorder - Yale University

Disordered bilayer membrane

random-bond curvature disorder� random-field stress disorder�

Page 6: Introduction to disorder - Yale University

Disorder-free critical point

critical surface�

Page 7: Introduction to disorder - Yale University

RG flow on a critical surface, t = tc�

Random-bond critical point

Page 8: Introduction to disorder - Yale University

Random-field critical point


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