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SUMMARY:Stochastic homogenization in amorphous media and applications to M
ott variable range hopping.
DTSTART;VALUE=DATE-TIME:20190410T090000Z
DTEND;VALUE=DATE-TIME:20190410T095000Z
DTSTAMP;VALUE=DATE-TIME:20200811T043141Z
UID:indico-contribution-3672@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alessandra Faggionato ()\nBy extending the method o
f 2-scale convergence we prove an homogenization theorem of difference o
perators given by Markov generators of random walks on random marked sim
ple point processes with symmetric jump rates. Using this theorem\, we der
ive two further results: (i) the hydrodynamic limit of the exclusion proc
ess given by multiple random walks with hard-core interaction\; (ii) t
he a.s. convergence of the rescaled conductivity matrix of the Miller-Abr
ahams resistor network to the diffusion matrix of Mott random walk. The
second result is related to Mott variable range hopping\, which is a funda
mental mechanism of phonon-induced electron conduction in amorphous solid
s given by strongly disordered solids as doped semiconductors.\n\nhttps://
indico.math.cnrs.fr/event/4251/contributions/3672/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3672/
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