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3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
"In press" ; We consider a harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent $3/4$. ; The authors thank S. Olla and H. Spohn for their interest in this work and highly useful discussions. C.B. acknowledges the support of the French Ministry of Education through the grant ANR EDNHS. P.G. thanks CNPq (Brazil) for support through the research project Additive functionals of particle systems, Universal n. 480431/2013-2, FAPERJ-JCNE Jovem Cientista do Nosso Estado for the grant E-25/203.407/2014 and the Research Centre of Mathematics of the University of Minho, for the financial support provided by FEDER through the Programa Operacional Factores de Competitividade COMPETE and by FCT through the research project PEst-OE/MAT/UI0013/2014. M.J. thanks CNPq for its support through the grant 401628/2012-4 and FAPERJ for its support through the grant JCNE E17/2012. C.B. and P.G. are grateful to Egide and FCT for support through the research project FCT/1560/25/1/2012/S. C.B. and M.J. are grateful to the "Brazilian-French Network in Mathematics".
3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
"In press" ; We consider a harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent $3/4$. ; The authors thank S. Olla and H. Spohn for their interest in this work and highly useful discussions. C.B. acknowledges the support of the French Ministry of Education through the grant ANR EDNHS. P.G. thanks CNPq (Brazil) for support through the research project Additive functionals of particle systems, Universal n. 480431/2013-2, FAPERJ-JCNE Jovem Cientista do Nosso Estado for the grant E-25/203.407/2014 and the Research Centre of Mathematics of the University of Minho, for the financial support provided by FEDER through the Programa Operacional Factores de Competitividade COMPETE and by FCT through the research project PEst-OE/MAT/UI0013/2014. M.J. thanks CNPq for its support through the grant 401628/2012-4 and FAPERJ for its support through the grant JCNE E17/2012. C.B. and P.G. are grateful to Egide and FCT for support through the research project FCT/1560/25/1/2012/S. C.B. and M.J. are grateful to the "Brazilian-French Network in Mathematics".
3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
Bernardin, Cédric (Autor:in) / Gonçalves, Patrícia (Autor:in) / Jara, Milton (Autor:in)
01.01.2016
doi:10.1007/s00205-015-0936-0
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
DDC:
690
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