Portal de Periódicos da CAPES

Distribution functions for the time-averaged energies of stochastically excited solar p-modes

1988; IOP Publishing; Volume: 328; Linguagem: Inglês

10.1086/166345

1538-4357

Pawan Kumar, Joel Franklin, Peter Goldreich,

solar cell performance optimization

view Abstract Citations (67) References (5) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Distribution Functions for the Time-averaged Energies of Stochastically Excited Solar p-Modes Kumar, Pawan ; Franklin, Joel ; Goldreich, Peter Abstract The excitation of a damped harmonic oscillator by a random force is studied as a model for the stochastic excitation of a solar p-mode by turbulent convection. An extended sequence of observations is required to separate different p-modes and thus determine the energies of individual modes. Therefore, the observations yield time-averaged values of the energy. The theory of random differential equations is applied to calculate distribution functions for the time-averaged energy of the oscillator. The instantaneous energy satisfies a Boltzmann distribution. With increasing averaging time, the distribution function narrows and its peak shifts toward the mean energy. Numerical integrations are performed to generate finite sequences of time-averaged energies. These are treated as simulated data from which approximate probability distributions for the time-averaged energy are obtained. Publication: The Astrophysical Journal Pub Date: May 1988 DOI: 10.1086/166345 Bibcode: 1988ApJ...328..879K Keywords: Boltzmann Distribution; Harmonic Oscillators; Solar Interior; Solar Oscillations; Solar Rotation; Stochastic Processes; Computational Astrophysics; Differential Equations; Eigenvalues; Statistical Distributions; Solar Physics; CONVECTION; SUN: INTERIOR; SUN: OSCILLATIONS; TURBULENCE full text sources ADS |