Spatial distribution of thermal energy in equilibrium.

  title={Spatial distribution of thermal energy in equilibrium.},
  author={Yohai Bar-Sinai and Eran Bouchbinder},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={91 6},
The equipartition theorem states that in equilibrium, thermal energy is equally distributed among uncoupled degrees of freedom that appear quadratically in the system's Hamiltonian. However, for spatially coupled degrees of freedom, such as interacting particles, one may speculate that the spatial distribution of thermal energy may differ from the value predicted by equipartition, possibly quite substantially in strongly inhomogeneous or disordered systems. Here we show that for systems… 

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