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DTSTAMP:20240913T060146Z
UID:64b9491b15a46025426201@ist.ac.at
DTSTART:20240319T161500
DTEND:20240319T171500
DESCRIPTION:Speaker: Benjamin Fehrman\nhosted by Julian Fischer\nAbstract:
Far-from-equilibrium behavior in physical systems is widespread. A statist
ical description of these events is provided by macroscopic fluctuation th
eory\, a framework for non-equilibrium statistical mechanics that postulat
es a formula for the probability of a space-time fluctuation based on the
constitutive equations of the system. This formula is formally obtained vi
a a zero noise large deviations principle for the associated fluctuating h
ydrodynamics\, which postulates a conservative\, singular stochastic PDE t
o describe the system out-of-equilibrium. In this talk\, we will focus par
ticularly on the fluctuations of certain interacting particle processes ab
out their hydrodynamic limits. We will show how the associated MFT and flu
ctuating hydrodynamics lead to a class of conservative SPDEs with irregula
r coefficients\, and how the study of large deviations principles for the
particles processes and SPDEs leads to the analysis of parabolic-hyperboli
c PDEs in energy critical spaces. The analysis makes rigorous the connecti
on between MFT and fluctuating hydrodynamics in this setting\, and provide
s a positive answer to a long-standing open problem for the large deviatio
ns of the zero range process.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Benjamin Fehrman: Non-equilibrium fluctuations\, conservative stoch
astic PDE\, and parabolic-hyperbolic PDE with irregular drift
URL:https://talks-calendar.ista.ac.at/events/4851
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