26 citations · 37 across the 19 of their papers we have counts for
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On local quantum Gibbs states
Romain Duboscq, Olivier Pinaud
We address in this work the problem of minimizing quantum entropies under local constraints. We suppose macroscopic quantities such as the particle density, current, and kinetic en…
Constrained minimizers of the von Neumann entropy and their characterization
Romain Duboscq, Olivier Pinaud
We consider in this work the problem of minimizing the von Neumann entropy under the constraints that the density of particles, the current, and the kinetic energy of the system is…
A constrained optimization problem in quantum statistical physics
Romain Duboscq, Olivier Pinaud
In this paper, we consider the problem of minimizing quantum free energies under the constraint that the density of particles is fixed at each point of Rd, for any d 1. We ar…
Self-averaging of kinetic models for waves in random media
Guillaume Bal, Olivier Pinaud
Kinetic equations are often appropriate to model the energy density of high frequency waves propagating in highly heterogeneous media. The limitations of the kinetic model are quan…