Memory effects and heat transport in one-dimensional insulators
Dipartimento di Energetica "S. Stecco", Via Santa Marta 3, 50139 Firenze, Italy
Istituto Nazionale di Fisica della Materia, Unità di Firenze, L.go E. Fermi 2, 50125 Firenze, Italy
Corresponding author: a firstname.lastname@example.org
Published online: 15 December 2000
We study the dynamical correlation functions and heat conduction for the simplest model of quasi one-dimensional (1d) dielectric crystal i.e. a chain of classical particles coupled by quadratic and cubic intersite potential. Even in the weakly nonlinear regime, numerical simulation on long enough chains reveal sizeable deviations from the perturbative results in the form of a slower decay of correlations in equilibrium. Their origin can be traced back to the subtle nonlinear effects described by mode-coupling theories. Measures of thermal conductivity with nonequilibrium molecular-dynamics method confirm the relevance of such effects for low-dimensional lattices even at very low temperatures.
PACS: 63.10.+a – General theory / 05.60.-k – Transport processes / 44.10.+i – Heat conduction
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000