Multipressure Polytropes as Models for the Structure and Stability of Molecular Clouds. I. Theory
Author(s) -
Christopher F. McKee,
John H. Holliman
Publication year - 1999
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/307613
Subject(s) - polytropic process , superposition principle , physics , classical mechanics , perturbation (astronomy) , mechanics , surface pressure , turbulence , equation of state , isentropic process , entropy (arrow of time) , molecular cloud , thermodynamics , statistical physics , astrophysics , stars , quantum mechanics
Molecular clouds are supported by thermal pressure, magnetic pressure, andturbulent pressure. Each of these can be modeled with a polytropic equation ofstate, so that overall the total pressure is the sum of the individualcomponents. We model the turbulent pressure as being due to a superposition ofAlfven waves. The theory of polytropes is generalized to allow for the flow ofentropy in response to a perturbation, as expected for the entropy associatedwith wave pressure. The equation of state of molecular clouds is "soft", sothat the properties of the clouds are generally governed by the conditions atthe surface. In general, the polytropes are not isentropic, and this permitslarge density and pressure drops to occur between the center and the edge ofthe polytropes, as is observed.Comment: Submitted to ApJ with 10 figure
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