Thermostatted {delta}f
- Princeton University, P.O. Box 451, Princeton, New Jersey 08543-0451 (United States)
The {delta}f simulation method is revisited. Statistical coarse graining is used to rigorously derive the equation for the fluctuation {delta}f in the particle distribution. It is argued that completely collisionless simulation is incompatible with the achievement of true statistically steady states with nonzero turbulent fluxes because the variance {ital W} of the particle weights {ital w} grows with time. To ensure such steady states, it is shown that for dynamically collisionless situations a generalized thermostat or {open_quotes}{ital W} stat{close_quotes} may be used in lieu of a full collision operator to absorb the flow of entropy to unresolved fine scales in velocity space. The simplest {ital W} stat can be implemented as a self-consistently determined, time-dependent damping applied to {ital w}. A precise kinematic analogy to thermostatted nonequilibrium molecular dynamics is pointed out, and the justification of {ital W} stats for simulations of turbulence is discussed. An extrapolation procedure is proposed such that the long-time, steady-state, collisionless flux can be deduced from several short {ital W}-statted runs with large effective collisionality, and a numerical demonstration is given. {copyright} {ital 1999 American Institute of Physics.}
- OSTI ID:
- 337520
- Journal Information:
- Physics of Plasmas, Vol. 6, Issue 5; Other Information: PBD: May 1999
- Country of Publication:
- United States
- Language:
- English
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