Structure formation of self-gravitational oscillator system

2016 Fiscal Year Final Research Report

• Project/Area Number: 15K13536
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kagoshima University
• Principal Investigator: Wada Keiichi 鹿児島大学, 理工学域理学系, 教授 (30261358)
• Project Period (FY): 2015-04-01 – 2017-03-31
• Keywords: spiral structure / N-body system

Outline of Final Research Achievements

We have made a numerical code to investigate evolution in phase and real spaces of one-dimensional oscillators interacting each other with a long-range gravitational-like force. We also developed a N-body code for 2-dimensional rotating disks consisted of many interacting particles in an external potential. Non-steady spiral-like structures are self-developed, and we analyze their group behavior in angular momentum-Jacobi integral spaces (E-J space). We found that the particles in the non-steady spirals non-linearly oscillate in the E-J space along the critical curve. This suggests that the structure formation in the real space does not result in the scattering by dynamical resonances due to the non-steady spiral arms.

Free Research Field

Astrophysics