On the stochasticity of gravitational many-body systems in cosmology

Mathematics – Logic

Scientific paper

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Galactic Clusters, Gravitational Fields, Many Body Problem, Particle Motion, Stochastic Processes, Cosmology, Expansion, Particle Trajectories, Universe

Scientific paper

Nearby trajectories of particles in gravitational many-body systems are examined using cosmological N-body simulations. Specifically, Plummer's model was used with a softening radius, epsilon, to describe collisionless particle systems in an expanding universe. It is found that the comoving distance of the nearby trajectories increases exponentially with time as e exp lambda(t). This exponent quantitatively characterizes the stochasticity of the dynamics of gravitational many-body systems in cosmology.

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