Effects of the Coarse-Graining Scale | Zendy

T. Tsuchiya | Zendy

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Effects of the Coarse-Graining Scale

Author(s) -

T. Tsuchiya

Publication year - 1994

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp/91.2.265

Subject(s) - physics , collision , granularity , scale (ratio) , term (time) , statistical physics , mixing (physics) , boltzmann equation , trace (psycholinguistics) , scattering , boltzmann constant , mechanics , classical mechanics , thermodynamics , quantum mechanics , linguistics , philosophy , computer security , computer science , operating system

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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