Treatment of the electron–hole droplet nucleation in the Fokker‐Planck approximation

S. W. Koch; H. Haug

doi:10.1002/pssb.2220950117

Treatment of the electron–hole droplet nucleation in the Fokker‐Planck approximation

S. W. Koch, H. Haug

Optical Sciences, College of

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The master equation which governs the nucleation of electron–hole drops in highly excited semiconductors is approximated by a Fokker‐Planck equation which determines the distribution function of the cluster size. From the Fokker‐Planck equation a closed set of equations for the exciton concentration and for different moments of the droplet distribution function is constructed. These equations are solved numerically for various generation rates. Using an eigenvalue analysis of the Fokker‐Planck equation, the time‐development of the full droplet distribution function is found from the time‐dependent moments.

Original language	English (US)
Pages (from-to)	155-161
Number of pages	7
Journal	physica status solidi (b)
Volume	95
Issue number	1
DOIs	https://doi.org/10.1002/pssb.2220950117
State	Published - Sep 1 1979

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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abstract = "The master equation which governs the nucleation of electron–hole drops in highly excited semiconductors is approximated by a Fokker‐Planck equation which determines the distribution function of the cluster size. From the Fokker‐Planck equation a closed set of equations for the exciton concentration and for different moments of the droplet distribution function is constructed. These equations are solved numerically for various generation rates. Using an eigenvalue analysis of the Fokker‐Planck equation, the time‐development of the full droplet distribution function is found from the time‐dependent moments.",

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AB - The master equation which governs the nucleation of electron–hole drops in highly excited semiconductors is approximated by a Fokker‐Planck equation which determines the distribution function of the cluster size. From the Fokker‐Planck equation a closed set of equations for the exciton concentration and for different moments of the droplet distribution function is constructed. These equations are solved numerically for various generation rates. Using an eigenvalue analysis of the Fokker‐Planck equation, the time‐development of the full droplet distribution function is found from the time‐dependent moments.

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