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Transport, Correlations, and Chaos in a Classical Disordered Anharmonic Chain by Kumar, Manoj; Kundu, Anupam; Kulkarni, Manas; Huse, David A.; Dhar, Abhishek is a scholarly article available to read on EtoBox.

What is Transport, Correlations, and Chaos in a Classical Disordered Anharmonic Chain about?

We explore transport properties in a disordered nonlinear chain of classical harmonic oscillators and thereby identify a regime exhibiting behavior analogous to that seen in quantum many-body-localized systems. Through extensive numerical simulations of this system connected at its ends to heat baths at different temperatures, we computed the heat current and the temperature profile in the nonequilibrium steady state as a function of system size $N$, disorder strength $\Delta$, and temperature $T$. The conductivity $\kappa_N$, obtained for finite length ($N$) systems, saturates to a value $\kappa_\infty >0$ in the large $N$ limit, for all values of disorder strength $\Delta$ and temperature $T>0$. We show evidence that for any $\Delta>0$ the conductivity goes to zero faster than any power of $T$ in the $(T/\Delta) \to 0$ limit, and find that the form $\kappa_\infty \sim e^{-B |\ln(C \Delta/T)|^3}$ fits our data. This form has earlier been suggested by a theory based on the dynamics of multi-oscillator chaotic islands. The finite-size effect can be $\kappa_N < \kappa_{\infty}$ due to boundary resistance when the bulk conductivity is high (the weak disorder case), or $\kappa_N > \kap

Author

Kumar, Manoj; Kundu, Anupam; Kulkarni, Manas; Huse, David A.; Dhar, Abhishek

Published

2019

Language

EN