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Thermodynamics of nonadditive systems: the unconstrained ensemble
##manager.scheduler.building##: Edificio San Jose
##manager.scheduler.room##: Auditorio 1
Date: 2019-07-11 02:15 PM – 02:45 PM
Last modified: 2019-06-10
Abstract
Thermodynamics is based on additivity, but there are systems with long-range interactions that are nonadditive. By considering an ensemble of “replicas” of the microscopic long-range system, in a way similar to Hill’s approach for small systems, we show that we can derive the properties of the single system as in standard equilibrium statistical mechanics. It turns out that the “replica energy” is the appropriate thermodynamic potential to describe systems with long-range interactions in the “unconstrained” ensemble where energy, volume and number of particles can all fluctuate. I will discuss an application of these methods to generic systems with $1/r^{\alpha}$ interaction and to the Thirring model of self-gravitating systems.