Energy inequalities for a model of wave propagation in cold plasma.
Entanglement transfer through an antiferromagnetic spin chain.
Entropic approximation in kinetic theory
Approximation theory in the context of probability density function turns out to go beyond the classical idea of orthogonal projection. Special tools have to be designed so as to respect the nonnegativity of the approximate function. We develop here and justify from the theoretical point of view an approximation procedure introduced by Levermore [Levermore, J. Stat. Phys. 83 (1996) 1021–1065] and based on an entropy minimization principle under moment constraints. We prove in particular a global...
Entropic approximation in kinetic theory
Approximation theory in the context of probability density function turns out to go beyond the classical idea of orthogonal projection. Special tools have to be designed so as to respect the nonnegativity of the approximate function. We develop here and justify from the theoretical point of view an approximation procedure introduced by Levermore [Levermore, J. Stat. Phys.83 (1996) 1021–1065] and based on an entropy minimization principle under moment constraints. We prove in particular...
Entropie, paramètres thermodynamiques, information associée aux événements et aux expériences
Entropy estimates for finitely correlated states
Entropy flux far from equilibrium in solids and in non viscous gases
One of the main question arising in Extended Thermodynamics concerns the physical meaning of the temperature far from equilibrium. Some authors define thermodynamic temperature the inverse of the coefficient linking the entropy flux with the heat flux. Other authors, instead, define non-equilibrium temperature the inverse of the partial derivative of entropy with respect to energy, at density and heat flux constant. The aim of this paper is to determine the expression of entropy flux in some...
Entropy maximisation problem for quantum relativistic particles
The entropy of an ideal gas, both in the case of classical and quantum particles, is maximised when the number particle density, linear momentum and energy are fixed. The dispersion law energy to momentum is chosen as linear or quadratic, corresponding to non-relativistic or relativistic behaviour.
Entropy of random walk range
We study the entropy of the set traced by an n-step simple symmetric random walk on ℤd. We show that for d≥3, the entropy is of order n. For d=2, the entropy is of order n/log2n. These values are essentially governed by the size of the boundary of the trace.
Enumerative problems inspired by Mayer's theory of cluster integrals.
Équation de transport. Théorie spectrale et approximation de la diffusion
Équations de Knizhnik-Zamolodchikov et théorie des représentations
Équations de moment et conditions d'entropie pour des modèles cinétiques
Equilibrium confocal textures in a smetic-A cell
We study the textures of smectic-A liquid crystals consisting in curved, but stricdy equidistant lamellae. Assuming translational symmetry, we can generate them from a single curve. The free energy is a non-trivial functional of it. We learn how to derive the equilibrium equation for this curve, when the texture is confined between two parallel plates, which exert a weak anchoring on the orientation of the lamellae, but do not interfere direcdy with their position. Finally, we describe an instability...
Equilibrium fluctuations for a one-dimensional interface in the solid on solid approximation.
Equilibrium fluctuations for lattice gases
Equilibrium states for the Landau-Fermi-Dirac equation
A kinetic collision operator of Landau type for Fermi-Dirac particles is considered. Equilibrium states are rigorously determined under minimal assumptions on the distribution function of the particles. The particular structure of the considered operator (strong non-linearity and degeneracy) requires a special investigation compared to the classical Boltzmann or Landau operator.
Equilibrium statistical mechanics of frustrated spin glasses : a survey of mathematical results
Erdős-Renyi random graphs forest fires self-organized criticality.
Ergodic and central limit theorems in statistical mechanics in continuous case