TY - JOUR
T1 - Current fluctuations for anharmonic chains in thermal equilibrium
AU - Mendl, Christian B.
AU - Spohn, Herbert
N1 - Publisher Copyright:
© 2015 IOP Publishing Ltd and SISSA Medialab srl.
PY - 2015/3/11
Y1 - 2015/3/11
N2 - We study the total current correlations for anharmonic chains in thermal equilibrium, putting forward predictions based on the second moment sum rule and on nonlinear fluctuating hydrodynamics. We compare with molecular dynamics simulations for hard collision models. For the first time we investigate the full statistics of time-integrated currents. Generically such a quantity has Gaussian statistics on a scale √t. But if the time integration has its endpoint at a moving sound peak, then the fluctuations are suppressed and only of order t1/3. The statistics is governed by the Baik-Rains distribution, known already from the fluctuating Burgers equation.
AB - We study the total current correlations for anharmonic chains in thermal equilibrium, putting forward predictions based on the second moment sum rule and on nonlinear fluctuating hydrodynamics. We compare with molecular dynamics simulations for hard collision models. For the first time we investigate the full statistics of time-integrated currents. Generically such a quantity has Gaussian statistics on a scale √t. But if the time integration has its endpoint at a moving sound peak, then the fluctuations are suppressed and only of order t1/3. The statistics is governed by the Baik-Rains distribution, known already from the fluctuating Burgers equation.
KW - Correlation functions
KW - Mode coupling theory
KW - Transport properties
UR - http://www.scopus.com/inward/record.url?scp=84927144506&partnerID=8YFLogxK
U2 - 10.1088/1742-5468/2015/03/P03007
DO - 10.1088/1742-5468/2015/03/P03007
M3 - Article
AN - SCOPUS:84927144506
SN - 1742-5468
VL - 2015
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
IS - 3
M1 - P03007
ER -