A phenomenological operator description of interactions between\n populations with applications to migration

2012/07/12 by Fabio Bagarello, Bagarello, Fabio, Francesco Oliveri +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · Mathematics · #Diffusion and Search Dynamics #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1207.2873

Abstract

We adopt an operatorial method based on the so-called creation, annihilation\nand number operators in the description of different systems in which two\npopulations interact and move in a two-dimensional region. In particular, we\ndiscuss diffusion processes modeled by a quadratic hamiltonian. This general\nprocedure will be adopted, in particular, in the description of migration\nphenomena. With respect to our previous analogous results, we use here\nfermionic operators since they automatically implement an upper bound for the\npopulation densities.\n

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