Linear Waves and Gravitational Instability in Molecular Cloud Filaments
**Previous
abstract** **Next
abstract**

**Session 26 -- Molecular Cloud Structure and Energetics**
*Oral presentation, Wednesday, January 12, 10:15-11:45, Crystal Forum Room (Crystal City Marriott)*

## [26.02] Linear Waves and Gravitational Instability in Molecular Cloud Filaments

*C. S. Gehman, F. C. Adams, M. Fatuzzo, R. Watkins (University of Michigan, Ann Arbor)*
We study axial density wave propagation along self-gravitating
fluid filaments, such as those found in molecular cloud
complexes. We also study the linear stability of such filaments.
Using the inhomogeneous nonlinear equilibrium of a self-gravitating
cylindrically symmetric fluid, we perturb the equilibrium and solve
the linearized Euler equations for an inviscid fluid.
Numerical solutions and dispersion relations are found for
various barotropic equations of state. Observed
velocity dispersions of molecular clouds suggest adding a
``turbulence'' term to the normal isothermal term, i.e.\
the total pressure can be written as
$p = c_{s}^{2}
\rho + p_{0}{\rm log}(\rho/\rho_{0})$.
Finally, we discuss observable characteristics of periodic
structure in filamentary molecular clouds modelled in this fashion.
In particular, we consider the core spacing and the spatial
profiles of the waves.

**Wednesday
program listing**