Effects of the Coarse-Graining Scale

Details Effects of the Coarse-Graining Scale Effects of the Coarse-Graining Scale

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pthph..91..265t&link_type=abstract

Progress of Theoretical Physics, Volume 91, Issue 2, pp. 265-270

Physics

1

Galaxies: Relaxation, Structure, Kinematics And Dynamics -- Chaos

Scientific paper

The scale dependent nature of coarse-graining is investigated by deriving the collision term of the Boltzmann equation. Numerical evaluation of the collision term is carried out in a one-dimensional mass sheet system. This shows that the collision term contains only the phase-mixing effect if the number of particles in a coarse-grained volume is sufficiently large. This result also indicates that N-body simulations can trace the original system exactly over a time scale proportional to the number of particles in the simulation, after which the scattering effect becomes important.

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