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Nonequilibrium free energy, H theorem and self-sustained oscillations for Boltzmann-BGK descriptions of semiconductor superlattices
Nonequilibrium processes Boltzmann equation current fluctuations
2010/11/22
Semiconductor superlattices (SL) may be described by a Boltzmann-Poisson kinetic equation with a Bhatnagar-Gross-Krook (BGK) collision term which preserves charge, but not momentum or energy.
Two-point generating function of the free energy for a directed polymer in a random medium
Directed polymer Lieb-Liniger Bose gas Kardar-Parisi-Zhang equation
2010/11/24
We consider a 1+1 dimensional directed continuum polymer in a Gaussian delta-correlated space-time random potential. For this model the moments (= replica)of the partition function, Z(x, t), can be ex...