Renormalized energy equidistribution and local charge balance in 2D Coulomb systems

Since the injec- tion is performed on the right branch, a first interaction process couples the injected electrons with momentum near ε 0 u −1 to the left branch, thus

A considerable part of the heat increment and energy efficiency can be explained by biochemistry Energy utilization and energy systems Jaap van Milgen... Freely available

The present work extends the result [51] valid for the 2-dimensional Coulomb gases to the case of general dimension d and of Riesz gases with power-law interactions with power s ∈

Theorem 5 establishes a link between the atomic and non- atomic setups: as n goes to infinity and the demand of each user becomes negligible compared to the total demand, the

keywords: Coulomb gas, one-component plasma, random matrices, Ginibre ensemble, Fekete sets, Abrikosov lattice, triangular lattice, renormalized energy, large deviations,

Now we recall results about the existence, the uniqueness and the characterization of the equilibrium measure µ V proved in [12, 22] for the classical growth assumption (1.2), and

The simplified Ginzburg- Landau energy (1) is essentially used to treat the case of a bounded number of vorticity defects (which essentially correspond to small neighborhoods of

It is proved that, when vorticity defects are trapped by a diluted impurity, then their lo- cation inside the impurity [the microscopic location] is independent of the