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SUMMARY:Force correlations in disordered systems and this year’s Nobel p
 rize in physics - Kay Wiese\, ENS Paris
DTSTART:20220215T130000Z
DTEND:20220215T140000Z
UID:TALK169793@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:We study the force-force correlator for disordered elastic sys
 tems. We show that each of the relevant universality classes has its own f
 unction. The nicest experiments are for DNA unzipping and Barkhausen noise
 . For the latter we observe two distinct universality classes\, depending 
 on the range of spin interactions. In all cases force-force correlations g
 row linearly at small distances\, while they are bounded at large distance
 s. As a consequence\, avalanches are anti-correlated\, i.e. reduced in siz
 e\, at short distances. \nOur theory is based on the functional renormaliz
 ation group\, which we compare to an alternative approach\, namely mean-fi
 eld theory with replica-symmetry breaking. The latter is one of the key ac
 hievements cited in this year’s Nobel prize for Giorgio Parisi. Another 
 involves super mathematics\, which we use to map charge-density waves to l
 oop-erased random walks. 
LOCATION:Center for Mathematical Sciences\, Lecture room MR11\, or https:/
 /maths-cam-ac-uk.zoom.us/j/98016675669
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