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SUMMARY:Glass transition as the consequence of spatially correlated stocha
stic dynamics
DTSTART;VALUE=DATE-TIME:20170904T152000Z
DTEND;VALUE=DATE-TIME:20170904T153500Z
DTSTAMP;VALUE=DATE-TIME:20230207T215100Z
UID:indico-contribution-75@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Maciej Majka (Jagiellonian University)\n\nDespite th
e decades of intense research\, the glass transition\, i.e. the extreme ri
se in the viscosity (by $10^{14}$ for molecular and $10^3$ for colloidal g
lasses) of the disordered system as it becomes denser/colder\, is far from
being fully understood. One important limitation here is the lack of anal
ytically solvable models for the systems with arbitrary interactions. In t
his presentation such one-dimensional model is introduced. The model origi
nates from the recent theoretical advancements in the field of Langevin dy
namics driven by the spatially correlated noise (SCN). SCN can be linked t
o the diffusion in colloids or dynamic heterogeneity in molecular systems.
Recently\, it has been shown that the thermodynamic consistency requires
SCN to be accompanied by the dissipation represented as the friction-respo
nse matrix. I will show that in the thermodynamic limit\, this matrix can
develop a genuine singularity in dissipation for finite volume packing\, t
hus heralding the system jamming. Since this happens under the assumption
of complete molecular disorder\, this jamming is identified as the glass t
ransition. The model introduces new perspective on the role of spatial cor
relations in vitrification\, i.e. it shows that they might not be the cons
equence\, but the cause of jamming. It also provides the exact relation be
tween the noise correlation length and the critical packing. Finally\, it
suggests that the spectrum of the friction-response matrix might be the or
der parameter for the glass transition.\n\nhttps://zakopane.if.uj.edu.pl/e
vent/4/contributions/75/
LOCATION:56
RELATED-TO:indico-event-4@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/75/
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