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DY: Fachverband Dynamik und Statistische Physik

DY 73: Poster: Networks, Chimera, Energy Systems

DY 73.3: Poster

Donnerstag, 15. März 2018, 15:30–18:00, Poster A

Statistical mechanics and condensation into multiple states — •Sina Sadeghi and Andreas Engel — Institut für Physik, Carl von Ossietzky Universität Oldenburg, Germany

Condensation processes are ubiquitous in a diverse range of physical phenomena. They occur via collective behaviour of systems comprising many identical interacting entities that each of which may be in one of different possible states. Typically, states are filled by a small number of system components. Condensation occurs by definition if one or multiple states are macroscopically occupied such that a non-zero fraction of all components share the same state. In the present work we employ statistical mechanics methods from disordered systems to investigate static properties of condensation in a general framework. We consider the replicator equation with skew symmetric matrices that can describe the dynamics of condensation into multiple states. We show how typical properties of random interaction matrices play a vital role in manifesting the statistics of condensate states. In particular, an analytical expression for the fraction of condensate states in the thermodynamic limit is provided and the result is confirmed by numerical simulations.