ON NON-LANDAU DAMPED SOLUTIONS TO THE LINEARIZED VLASOV EQUATION

Journal Article · Sat Nov 16 04:00:00 EST 1963 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

DOI:https://doi.org/10.1007/BF02828813· OSTI ID:4074131

Hayes, J N

Because of the existence of perturbations on the equilibrium velocity distribution of an electron plasma that are entire functions and yet do not give the damping predicted by Jandau, the Landau calculation is reexamined critically for the source of these solutions. It is shown that certain tacit assumptions go into the Landau calculation that were not proved there, but are demonstrated to be true. A broad class of initial perturbations is constructed that satisfies all the Landau criteria but does not yield Landau damping. These results derived for a Maxwell equilibrium distribution are generalized to a broader class of equilibrium distributions. Newcomb's result hat an increasing electric potential cannot be monotonic is quite simply proved as a by-product of the integral equation for the plasma. (auth)

• Research Organization: Naval Research Lab., Washington, D.C.
• Sponsoring Organization: USDOE
• NSA Number: NSA-18-009500
• OSTI ID: 4074131
• Journal Information: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10), 30; ISSN NUCIA
• Country of Publication: Country unknown/Code not available
• Language: English

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