6533b85dfe1ef96bd12be9c7

RESEARCH PRODUCT

A Phenomenological Operator Description of Dynamics of Crowds: Escape Strategies

Francesco OliveriFabio BagarelloFrancesco Gargano

subject

Physics - Physics and Societybusiness.industryApplied MathematicsFOS: Physical sciencesFermionic operatorHeisenberg-like dynamicPhysics and Society (physics.soc-ph)Escape strategieApplied MathematicDynamics of crowdOperator (computer programming)CrowdsParticle number operatorDynamics (music)Modeling and SimulationArtificial intelligenceStatistical physicsbusinessFermionic operators Heisenberg-like dynamics Dynamics of crowds Escape strategiesSettore MAT/07 - Fisica MatematicaTopology (chemistry)Mathematics

description

Abstract We adopt an operatorial method, based on creation, annihilation and number operators, to describe one or two populations mutually interacting and moving in a two-dimensional region. In particular, we discuss how the two populations, contained in a certain two-dimensional region with a non-trivial topology, react when some alarm occurs. We consider the cases of both low and high densities of the populations, and discuss what is changing as the strength of the interaction increases. We also analyze what happens when the region has either a single exit or two ways out.

10.1016/j.apm.2014.10.038http://arxiv.org/abs/1411.0984