### 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) Basic Research |

Volume | 95 |

Issue number | 1 |

State | Published - Sep 1979 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physica Status Solidi (B) Basic Research*,

*95*(1), 155-161.

**TREATMENT OF THE ELECTRON-HOLE DROPLET NUCLEATION IN THE FOKKER-PLANCK APPROXIMATION.** / Koch, Stephan W; Haug, H.

Research output: Contribution to journal › Article

*Physica Status Solidi (B) Basic Research*, vol. 95, no. 1, pp. 155-161.

}

TY - JOUR

T1 - TREATMENT OF THE ELECTRON-HOLE DROPLET NUCLEATION IN THE FOKKER-PLANCK APPROXIMATION.

AU - Koch, Stephan W

AU - Haug, H.

PY - 1979/9

Y1 - 1979/9

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0018517492&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0018517492&partnerID=8YFLogxK

M3 - Article

VL - 95

SP - 155

EP - 161

JO - Physica Status Solidi (B): Basic Research

JF - Physica Status Solidi (B): Basic Research

SN - 0370-1972

IS - 1

ER -