On the energy conservation electrostatic particle-in-cell/Monte Carlo simulation：Benchmark and application to the radio frequency discharges

doi:10.1088/1674-1056/23/3/035204

Abstract We benchmark and analyze the error of energy conservation (EC) scheme in particle-in-cell/Monte Carlo (PIC/MC) algorithms by simulating the radio frequency discharge. The plasma heating behaviors and electron distributing functions obtained by one-dimensional (1D) simulation are analyzed. Both explicit and implicit algorithms are checked. The results showed that the EC scheme can eliminated the self-heating with wide grid spacing in both cases with a small reduction of the accuracies. In typical parameters, the EC implicit scheme has higher precision than EC explicit scheme. Some “numerical cooling” behaviors are observed and analyzed. Some other errors are also analyzed. The analysis showed that the EC implicit scheme can be used to qualitative estimation of some discharge problems with much less computational resource cost without much loss of accuracies.

Keywords: particle-in-cell/Monte Carlo simulation energy conservation grid heating discharging simulation

Received: 20 May 2013
Revised: 12 July 2013
Accepted manuscript online:

PACS:	52.80.Pi	(High-frequency and RF discharges)
	52.27.Aj	(Single-component, electron-positive-ion plasmas)
	52.65.Rr	(Particle-in-cell method)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11275007, 11105057, 11175023, and 11275039) and the Program for Liaoning Excellent Talents in University, China (Grant No. LJQ2012098).

Corresponding Authors: Sun Peng
E-mail: sunpeng169@126.com

Cite this article:

Wang Hong-Yu (王虹宇), Jiang Wei (姜巍), Sun Peng (孙鹏), Kong Ling-Bao (孔令宝) On the energy conservation electrostatic particle-in-cell/Monte Carlo simulation：Benchmark and application to the radio frequency discharges 2014 Chin. Phys. B 23 035204

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On the energy conservation electrostatic particle-in-cell/Monte Carlo simulation：Benchmark and application to the radio frequency discharges

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