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UID:f7350062de10fd11f784eec002c3eeb5
CATEGORIES:Mathematical Physics Seminar
CREATED:20250127T070033
SUMMARY:Webinar: David Mukamel - Local drive and long-range correlations in interacting diffusive systems
LOCATION:Zoom
DESCRIPTION:David Mukamel – The Weizmann Institute\n \nWednesday, February 12th , 10:45
 AM EST\n \nLocal drive and long-range correlations in interacting diffusive
  systems\n \nThe long-range nature of the nonequilibrium steady state resul
 ting from a local drive (a pump or a battery) is discussed in the context o
 f interacting diffusive fluid. It is shown that under generic, non-critical
  conditions, the pump generates long-range modulation in the density profil
 e of the form of a dipolar electric potential, and a current profile in the
  form of a dipolar electric field. It also induces long-range density corre
 lations.\nThe density profile is drastically modified when the fluid is at 
 its critical point: here, in addition to the long-rage influence of the cur
 rent generated by the local drive, the fluid is also dominated by its intri
 nsic long- range critical correlations. It is demonstrated that the resulti
 ng density profile can be mapped onto that of an equilibrium fluid under th
 e influence of a long-ranged dipolar potential. This mapping to an equilibr
 ium system allows one to express the nonequilibrium density profile at crit
 icality in terms of the equilibrium critical exponents of the fluid. In con
 trast, the current is shown to retain it off critical dipolar field form.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="text-align: center;"><strong>David Mukamel – The Weizmann Institu
 te</strong></p><p style="text-align: center;"><strong>&nbsp;</strong></p><p
  style="text-align: center;"><strong>Wednesday,&nbsp;February 12th ,&nbsp;1
 0:45AM EST</strong></p><p style="text-align: center;"><strong>&nbsp;</stron
 g></p><p style="text-align: center;"><strong>Local drive and long-range cor
 relations in interacting diffusive systems</strong></p><p style="text-align
 : center;"><strong>&nbsp;</strong></p><p>The long-range nature of the noneq
 uilibrium steady state resulting from a local drive (a pump or a battery) i
 s discussed in the context of interacting diffusive fluid. It is shown that
  under generic, non-critical conditions, the pump generates long-range modu
 lation in the density profile of the form of a dipolar electric potential, 
 and a current profile in the form of a dipolar electric field. It also indu
 ces long-range density correlations.</p><p>The density profile is drastical
 ly modified when the fluid is at its critical point: here, in addition to t
 he long-rage influence of the current generated by the local drive, the flu
 id is also dominated by its intrinsic long- range critical correlations. It
  is demonstrated that the resulting density profile can be mapped onto that
  of an equilibrium fluid under the influence of a long-ranged dipolar poten
 tial. This mapping to an equilibrium system allows one to express the noneq
 uilibrium density profile at criticality in terms of the equilibrium critic
 al exponents of the fluid. In contrast, the current is shown to retain it o
 ff critical dipolar field form.</p>
DTSTAMP:20260829T012815
DTSTART;TZID=America/New_York:20250212T104500
DTEND;TZID=America/New_York:20250212T120000
SEQUENCE:0
TRANSP:OPAQUE
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