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UID:DSC-10043
DTSTART;TZID=Europe/Berlin:20151019T140000
SEQUENCE:1445241283
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20151019T150000
URL:https://www.dresden-science-calendar.de/calendar/en/detail/10043
LOCATION:MPI-PKS\, Nöthnitzer Straße 3801187 Dresden
SUMMARY:Cairoli: Anomalous processes with general waiting times: Functional
 s\, Multipoint Structure and a new perspective on their Langevin descripti
 on
CLASS:PUBLIC
DESCRIPTION:Speaker: Andrea Cairoli\nInstitute of Speaker: Queen Mary Unive
 rsity of London\nTopics:\nPhysik\n Location:\n  Name: MPI-PKS (Seminarroom
  4)\n  Street: Nöthnitzer Straße 38\n  City: 01187 Dresden\n  Phone: + 4
 9 (0)351 871 0\n  Fax: \nDescription: Continuous Time Random Walks (CTRWs)
  have been successfully used to model subdiffusive biological processes ch
 aracterized by a sublinear power-law scaling of the mean square displaceme
 nt. However\, many transport processes have recently been found in experim
 ents exhibiting more complex anomalous diffusive behavior\, where typicall
 y crossovers between different scaling regimes appear over time. In this t
 alk we discuss a class of anomalous diffusion processes that is able to ca
 pture such complex dynamics by extending usual CTRWs to more general waiti
 ng time distributions. We obtain a complete characterization of their func
 tionals and multipoint structure by using a representation in terms of a n
 ormal diffusive process plus a stochastic time change. In particular\, we 
 provide closed form expressions for their two-point correlation functions\
 , which can be readily applied to experimental data. We also show that the
  free-force dynamics of these processes can be conveniently described with
  a single Langevin equation in physical time driven by a new additive non-
 Gaussian noise. We characterize it in terms of the full multipoint statist
 ics and show that\, in the presence of external forces\, we generate a dif
 ferent class of processes with forces acting at all times.
DTSTAMP:20260522T052223Z
CREATED:20151013T075017Z
LAST-MODIFIED:20151019T075443Z
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