Abstract In the past few years, theory of thermal transport in amorphous solids has been substantially extended beyond Allen-Feldman model. The resulting formulation, based on Green-Kubo linear response or Wigner-transport equation, bridges this model for glasses with traditional Boltzmann kinetic approach crystals. computational effort required by these methods usually scales as cube number at...

We consider analytically as well as numerically the finite-size scaling behavior in the stationary state near the nonequilibrium phase transition of directed percolation within the mean field regime, i.e., above the upper critical dimension. Analogous to equilibrium, usual finite-size scaling is valid below the upper critical dimension, whereas it fails above. Performing a momentum analysis of ...

A microcanonical finite-size scaling ansatz is discussed. It exploits the existence of a well-defined transition point for systems of finite size in the microcanonical ensemble. The best data collapse obtained for small systems yields values for the critical exponents in good agreement with other approaches. The exact location of the infinite system critical point is not needed when extracting ...