Thermal conductivity of a kinetic ising model

Thermal conductivity of group-IV semiconductors from a kinetic-collective model.

The thermal conductivity of group-IV semiconductors (silicon, germanium, diamond and grey tin) with several isotopic compositions has been calculated from a kinetic-collective model. From this approach, significantly different to Callaway-like models in its physical interpretation, the thermal conductivity expression accounts for a transition from a kinetic (individual phonon transport) to a co...

Thermal conductivity of group-IV semiconductors from a kinetic-collective model

The thermal conductivity of group-IV semiconductors (silicon, germanium, diamond and grey tin) with several isotopic compositions has been calculated from a kinetic-collective model. From this approach, significantly different to Callaway-likemodels in its physical interpretation, the thermal conductivity expression accounts for a transition from a kinetic (individual phonon transport) to a col...

Thermal Conductivity for a Momentum Conservative Model

Abstract. We introduce a model whose thermal conductivity diverges in dimension 1 and 2, while it remains finite in dimension 3. We consider a system of oscillators perturbed by a stochastic dynamics conserving momentum and energy. We compute thermal conductivity via GreenKubo formula. In the harmonic case we compute the current-current time correlation function, that decay like t in the unpinn...

Thermal Conductivity for a Momentum Conserving Model

Abstract. We present here complete mathematical proofs of the results annouced in cond-mat/0509688. We introduce a model whose thermal conductivity diverges in dimension 1 and 2, while it remains finite in dimension 3. We consider a system of harmonic oscillators perturbed by a stochastic dynamics conserving momentum and energy. We compute the current-current time correlation function and the t...

Development of a Molecular Kinetic Model and Tuning of its Required Kinetic Parameters for Thermal Cracking of Light Hydrocarbons