Minimal charge configurations, total charge discrepancy and grand-canonical optimal transport

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Ore: 14:30

Relatore:

• Simone di Marino  (Università di Genova)

Abstract:
Based on a work in progress with L. Nenna and M. Lewin. Motivated by mathematical physics, in particular by the semi-classical limit of the grand-canonical density functional theory, we introduce the grand-canonical optimal transport. We minimize the expectation of the interaction energy between electrons, among probabilities in the configuration space which fix the average density of electrons. The key new feature of this model is that the number of electrons is not fixed. In discussing the features of this problem, we will describe the new phenomenon that is appearing, regarding the estimation of the number of electrons for the optimal configuration; we will see that that the estimate of the discrepancy of this number with respect to the average number of electrons is related to the problem of total charge discrepancy in minimal charge configurations.

Referenti: Andrea Marchese e Andrea Pinamonti