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Treatment of the electron–hole droplet nucleation in the Fokker‐Planck approximation
Author(s) -
Koch S. W.,
Haug H.
Publication year - 1979
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220950117
Subject(s) - fokker–planck equation , nucleation , distribution function , eigenvalues and eigenvectors , physics , master equation , planck's law , function (biology) , electron , distribution (mathematics) , statistical physics , quantum mechanics , mathematics , mathematical analysis , partial differential equation , quantum , thermodynamics , evolutionary biology , biology
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.