Eccentric rings in debris disks as a result of linear and nonlinear thermocentrifugal drag instability

Debris disks should not be completely gas-free, since there is second generation gas from outgassing of planetesimals and dust grains via sublimation, photodesorption, or collisions, generating a system of dust-to-gas ratio close to unity, where hydrodynamics cannot be ignored. A clumping instability exists in this configuration, that has been hitherto explored only in incompressible models. We expand the linear analysis to include compressiblity, demonstrating the existence of linear instabilities and overstabilities in the system. We show in 2D numerical compressible models that the backreaction of the drag force from the gas onto the dust shepherds rings, similar to those observed in debris disks and usually attributed to the presence of hypothetical undetected planets. We also uncover that the eccentricity of these rings, usually presented as convincing evidence for the presence of a planet, can actually be simply explained by a standing wave propagating along the ring. The rings support a spectrum of oscillations, with one particular mode representing epicyclic motion. The apparent eccentricity matches the eccentricity in observed systems. This suggests that the planet possibility, though thrilling, is not necessarily required to explain these systems.