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19992026
most citedSecondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging

976 citations

Showing 2010 · math-phShow all

5 papers · 2 filters

math-ph2010

A rigorous proof of the Landau-Peierls formula and much more

Philippe Briet, Horia D. Cornean, Baptiste Savoie

We present a rigorous mathematical treatment of the zero-field orbital magnetic susceptibility of a non-interacting Bloch electron gas, at fixed temperature and density, for both m…

math-ph2010★ 6 cited

Diamagnetism of quantum gases with singular potentials

Philippe Briet, Horia D. Cornean, Baptiste Savoie

We consider a gas of quasi-free quantum particles confined to a finite box, subjected to singular magnetic and electric fields. We prove in great generality that the finite volume…

math-ph2010★ 18 cited

Adiabatic non-equilibrium steady states in the partition free approach

Horia D. Cornean, Pierre Duclos, Radu Purice

Consider a small sample coupled to a finite number of leads, and assume that the total (continuous) system is at thermal equilibrium in the remote past. We construct a non-equilibr…

math-ph2010★ 12 cited

A partition-free approach to transient and steady-state charge currents

Horia D. Cornean, Celine Gianesello, Valentin Zagrebnov

We construct a non-equilibrium steady state and calculate the corresponding current for a mesoscopic Fermi system in the partition-free setting. To this end we study a small sample…

math-ph2010★ 3 cited

Faraday effect revisited: sum rules and convergence issues

Horia D. Cornean, Gheorghe Nenciu

This is the third paper of a series revisiting the Faraday effect. The question of the absolute convergence of the sums over the band indices entering the Verdet constant is consid…