Development of a Renormalization Group Approach to Multi-Scale Plasma Physics Computation

Award Information
Agency: Department of Defense
Branch: Air Force
Contract: FA9550-09-C-0115
Agency Tracking Number: F074-022-0286
Amount: $736,009.00
Phase: Phase II
Program: STTR
Awards Year: 2009
Solicitation Year: 2007
Solicitation Topic Code: AF07-T022
Solicitation Number: N/A
Small Business Information
2309 Renard Place SE, Suite 220, Albuquerque, NM, 87106
DUNS: 612410605
HUBZone Owned: N
Woman Owned: N
Socially and Economically Disadvantaged: N
Principal Investigator
 John Luginsland
 (607) 277-4272
Business Contact
 Michael Frese
Title: Manager
Phone: (505) 842-0074
Research Institution
 Russel Caflisch
 11000 Kinross Avenue
Suite 200
Los Angeles, CA, 90095
 (310) 206-0200
 Nonprofit college or university
NumerEx/UCLA propose advanced theoretical and computational research in the application of the renormalization group (RG) to speed the development of advanced methods to simulate dense plasmas exhibiting critical kinetic phenomena.  These dense plasmas combine a wealth of length and time scales by virtue of their high plasma frequencies and short Debye lengths, while still requiring long length/time scale simulation due to the large size of plasma, and the evolution of the critical system physics.  Starting with an analytic approach to a fundamental plasma process, namely that of electrostatic shielding, we will demonstrate how short length scale behavior can be incorporated in coarse representations.  This naturally leads to a numerical weighting approach that can be used in conjunction with kinetic methods to systematically handle dense plasmas in a kinetic framework.  Additionally, we propose extending temporal renormalization group methods to investigate the role of the collision operator in dense plasma situations.  This complements our spatial RG approach by suggesting the means to ensure the fidelity of multi-scale numerical methods dynamically.  These two approaches will be combined to provide for a multi-dimensional plasma physics tool based on RG methods. BENEFIT: Renormalization Group (RG) methods will dramatically increase the capability to accurately and efficiently model multi-scale phenomena in plasma physics.  A wide range of devices from directed energy sources of electromagnetic energy, spacecraft thrusters, plasma processing devices, to fusion reactors all exhibit behavior where short length/time scale events influence the system-level performance of the device.  RG-based modeling tools naturally capture multi-scale physics, leading to both improved modeling codes and novel high technology devices.  Potential applications include first-principles modeling software based on RG methods for fundamental research, parametric tools with well-characterized domains of application to aid the development of plasma-based technology, and engineering services leading to improved experimental hardware in the fusion science, directed energy, and thruster arenas.

* Information listed above is at the time of submission. *

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