Jammed Keplerian gas leads to the formation and disappearance of spiral arms in a coupled map lattice for astronomical objects

Abstract

The formation and disappearance of spiral arms are studied by focusing on jammed Keplerian gas in a coupled map lattice (CML) with a minimal set of procedures for simulating diverse patterns in astronomical objects. The CML shows that a spiral arm is a type of traffic jam, and its motion is governed by both a gas inflow into and outflow from the jam. In particular, we present a new approach to simply and directly evaluating the disappearance of spiral arms, called "light-in and heavy-out". It is based on the gas flow rate difference between the light inflow and heavy outflow leading to the disappearance of traffic jams. Furthermore, we propose an approximate formula for the remaining lifetime of spiral arms, which is immediately derived from the "light-in and heavy-out" approach without calculating their pattern speeds as in conventional differential rotation. The proposed formula is successfully applied to the CML simulations.

arXiv comment13 pages, 3 figures

References in corpus (11)

• Spiral Density Waves in a Young Protoplanetary Disk
• A Keplerian disk around a Class 0 source: ALMA observations of VLA1623A
• Chandra Observations of NGC 4636 - An Elliptical Galaxy in Turmoil
• The Broadband XMM-Newton and NuSTAR X-ray Spectra of Two Ultraluminous X-ray Sources in the Galaxy IC 342
• Radial Dependence of the Pattern Speed of M51
• The Burst Mode of Accretion in Primordial Protostars
• Ejection of gaseous clumps from gravitationally unstable protostellar disks
• Coupled Map Modeling for Cloud Dynamics
• Chaotic itinerancy and thermalization in one-dimensional self-gravitating systems
• NGC 5195 in M51: Feedback `Burps' after a Massive Meal?
• Coupled map lattice for the spiral pattern formation in astronomical objects

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