CLUSEL Maxime
Organisme : CNRS
Chargé de Recherche
Maxime.Clusel
univmontp2.fr
0467149419
Bureau: 37, Etg: 1, Bât: 13  Site : Campus Triolet
Domaines de Recherche:  Physique/Matière Condensée/Mécanique statistique

Productions scientifiques :


Applications of extreme value statistics in physics
Auteur(s): Fortin JeanYves, Clusel M.
(Article) Publié:
Journal Of Physics A: Mathematical And Theoretical, vol. 48 p.183001 (2015)
Ref HAL: hal01143826_v1
DOI: 10.1088/17518113/48/18/183001
Résumé: We present a descriptive review of physical problems dealing with extreme values in several fields of physics. We consider different physical situations involving random variables that are correlated or not, and study the statistics of extremal variables, which is relevant for situations where height fluctuations, catastrophic events such as material failure, or power outrage occur. We describe the general theory and relate the cumulative limit distributions that can be accessible in experiments to microscopic models. In many cases however, the random variables are correlated, in interface problems for example, and the characteristics of the interaction are revealed in the asymptotic behavior of the limit distribution.



Generalised Extreme Statistics and Sum of Correlated Variables
Auteur(s): Clusel M.
Conférence invité: Aggregation, Inference and Rare Events in the Natural and SocioEconomic Sciences (Warwick, GB, 20120517)
Actes de conférence: , vol. p. ()
Ref HAL: hal00755545_v1
Résumé: Socalled "generalised extreme value distributions" have become popular fitting functions for fluctuations observed in many correlated systems. We show that generalised extreme value statistics the statistics of the $k^\mathrm{th}$ largest value among a large set of random variables can be mapped onto a problem of random sums. This allows us to identify classes of nonidentical and (generally) correlated random variables with a sum distributed according to one of the three ($k$dependent) asymptotic distributions of extreme value statistics, namely the Gumbel, Fréchet and Weibull distributions. These classes, as well as the limit distributions, are naturally extended to real values of $k$, thus providing a clear interpretation to the onset of Gumbel distributions with noninteger index $k$ in the statistics of global observables. This is one of the very few known generalisations of the central limit theorem to nonindependent random variables. Finally, in the context of a simple physical model, we relate the index $k$ to the ratio of the correlation length to the system size, which remains finite in strongly correlated systems. I will conclude by presenting possible extension of this approach to extreme value statistics of correlated random variables.



Temperature Can Enhance Coherent Oscillations at a LandauZener Transition
Auteur(s): Whitney Robert, Clusel M., Ziman Timothy
(Article) Publié:
Physical Review Letters, vol. 107 p.210402 (2011)
Ref HAL: hal00641711_v1
DOI: 10.1103/PhysRevLett.107.210402
Résumé: We consider sweeping a system through a LandauZener avoided crossing, when that system is also coupled to an environment or noise. Unsurprisingly, we find that decoherence suppresses the coherent oscillations of quantum superpositions of system states, as superpositions decohere into mixed states. However, we also find an effect we call "Lambassisted coherent oscillations," in which a Lamb shift exponentially enhances the coherentoscillation amplitude. This dominates for highfrequency environments such as superOhmic environments, where the coherent oscillations can grow exponentially as either the environment coupling or temperature are increased. The effect could be used as an experimental probe for highfrequency environments in such systems as molecular magnets, solidstate qubits, spinpolarized gases (neutrons or He3), or Bose condensates.




Unfolding protein with an atomic force microscope: Forcefluctuation induced nonexponential kinetics
Auteur(s): Clusel M., Corwin Eric
(Article) Publié:
Physical Review E: Statistical, Nonlinear, And Soft Matter Physics, vol. 84 p.041920 (2011)
Ref HAL: hal00617317_v2
Ref Arxiv: 1108.5701
DOI: 10.1103/PhysRevE.84.041920
Ref. & Cit.: NASA ADS
Résumé: We show that in experimental atomic force microscopy studies of the lifetime distribution of mechanically stressed folded proteins the effects of externally applied fluctuations can not be distinguished from those of internally present fluctuations. In certain circumstances this leads to artificially nonexponential lifetime distributions which can be misinterpreted as a signature of protein complexity. This work highlights the importance of fully characterizing and controlling external sources of fluctuation in mechanical studies of proteins before drawing conclusions on the physics at play on the molecular level.

