introduction to disorder - yale university

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Introduction to disorder

$: NSF Boulder Summer School, July 2015

Soft Matter In and Out of Equilibrium

Leo Radzihovsky

Outline

•  Introduction and motivation �

•  Disorder near a continuous phase transition �

•  Disorder near ordered states�

•  Examples of physical systems�

Physical examples

Physical examples

charge density wave�

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

Disordered bilayer membrane

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

Disorder-free critical point

critical surface�

RG flow on a critical surface, t = tc�

Random-bond critical point

Random-field critical point

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