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SUMMARY:Anomalous fluctuation relations - Klages\, R (Queen Mary\, Univers
 ity of London)
DTSTART:20131030T145000Z
DTEND:20131030T152500Z
UID:TALK48580@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Aleksei V. Chechkin (Institute for Theoretical Phy
 sics NSC KIPT\, Kharkov\, Ukraine)\, Peter Dieterich (Institut fuer Physio
 logie\, Medizinische Fakultaet Carl Gustav Carus\, Dresden\, Germany)\, Fr
 iedrich Lenz (Queen Mary University of London\, School of Mathematical Sci
 ences\, London\, UK)\n\nWe study Fluctuation Relations (FRs) for Gaussian 
 stochastic systems that are anomalous\, in the sense that the diffusive pr
 operties strongly deviate from the ones of Brownian motion. For this purpo
 se we use a Langevin approach: We first briefly review the concept of tran
 sient work FRs for simple Langevin dynamics generating normal diffusion [1
 ]. We then consider two different types of additive\, power law correlated
  Gaussian noise [2\,3]: (1) internal noise with a fluctuation-dissipation 
 relation of the second type (FDR2)\, and (2) external noise without FDR2. 
 For internal noise we find that FDR2 leads to conventional (normal) forms 
 of transient work FRs. For external noise we obtain various forms of viola
 tions of normal FRs\, which we call anomalous FRs. We show that our theory
  is important for understanding experimental results on fluctuations in sy
 stems with long-time correlations\, such as glassy dynamics [1].\n\n[1] R.
 Klages\, A.V.Chechkin\, P.Dieterich\, Anomalous fluctuation relations\, bo
 ok chapter in: R.Klages\, W.Just\, C.Jarzynski (Eds.)\, Nonequilibrium Sta
 tistical Physics of Small Systems\, Wiley-VCH\, Weinheim (2013) [2] A.V.Ch
 echkin\, F.Lenz\, R.Klages\, J.Stat.Mech. L11001 (2012) [3] A.V.Chechkin\,
  R.Klages\, J.Stat.Mech. L03002 (2009)\n
LOCATION:Seminar Room 1\, Newton Institute
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