skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Thermodynamic Bounds on Nonlinear Electrostatic Perturbations in Intense Charged Particle Beams

Abstract

This paper places a lowest upper bound on the field energy in electrostatic perturbations in single-species charged particle beams with initial temperature anisotropy (TllT⊥ < 1). The result applies to all electrostatic perturbations driven by the natural anisotropies that develop in accelerated particle beams, including Harris-type electrostatic instabilities, known to limit the luminosity and minimum spot size attainable in experiments. The thermodynamic bound on the field perturbation energy of the instabilities is obtained from the nonlinear Vlasov-Poisson equations for an arbitrary initial distribution function, including the effects of intense self-fields, finite geometry and nonlinear processes. This paper also includes analytical estimates of the nonlinear bounds for space-charge-dominated and emittance-dominated anisotropic bi-Maxwellian distributions.

Authors:
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1056832
Report Number(s):
PPPL-4783
DOE Contract Number:  
DE-ACO2-09CH11466
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Accelerators, Beams, Electron, Beams, Heavy Ion Nonlinear Effects, Nonlinear Theories, Nonneutral Plasmas

Citation Formats

Nikolas C. Logan and Ronald C. Davidson. Thermodynamic Bounds on Nonlinear Electrostatic Perturbations in Intense Charged Particle Beams. United States: N. p., 2012. Web. doi:10.2172/1056832.
Nikolas C. Logan and Ronald C. Davidson. Thermodynamic Bounds on Nonlinear Electrostatic Perturbations in Intense Charged Particle Beams. United States. doi:10.2172/1056832.
Nikolas C. Logan and Ronald C. Davidson. Wed . "Thermodynamic Bounds on Nonlinear Electrostatic Perturbations in Intense Charged Particle Beams". United States. doi:10.2172/1056832. https://www.osti.gov/servlets/purl/1056832.
@article{osti_1056832,
title = {Thermodynamic Bounds on Nonlinear Electrostatic Perturbations in Intense Charged Particle Beams},
author = {Nikolas C. Logan and Ronald C. Davidson},
abstractNote = {This paper places a lowest upper bound on the field energy in electrostatic perturbations in single-species charged particle beams with initial temperature anisotropy (TllT⊥ < 1). The result applies to all electrostatic perturbations driven by the natural anisotropies that develop in accelerated particle beams, including Harris-type electrostatic instabilities, known to limit the luminosity and minimum spot size attainable in experiments. The thermodynamic bound on the field perturbation energy of the instabilities is obtained from the nonlinear Vlasov-Poisson equations for an arbitrary initial distribution function, including the effects of intense self-fields, finite geometry and nonlinear processes. This paper also includes analytical estimates of the nonlinear bounds for space-charge-dominated and emittance-dominated anisotropic bi-Maxwellian distributions.},
doi = {10.2172/1056832},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Jul 18 00:00:00 EDT 2012},
month = {Wed Jul 18 00:00:00 EDT 2012}
}

Technical Report:

Save / Share: