Tsallis distribution and luminescence decays

  title={Tsallis distribution and luminescence decays},
  author={Kwok Sau Fa},
  journal={Journal of Luminescence},
  • K. S. Fa
  • Published 29 May 2009
  • Physics
  • Journal of Luminescence


Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential)
The Kohlrausch (stretched exponential) decay law is analyzed in detail. Analytical and approximate forms of the distribution of rate constants and related functions are obtained for this law. A
Stretched-exponential decay of the luminescence in porous silicon.
  • Pavesi, Ceschini
  • Materials Science, Medicine
    Physical review. B, Condensed matter
  • 1993
An experimental study of the luminescence time decay in porous silicon as a function of temperature, excitation, and observation energies is reported. The decay line shape is well described by a
Mathematical functions for the analysis of luminescence decays with underlying distributions: 2. Becquerel (compressed hyperbola) and related decay functions
The Becquerel (compressed hyperbola) decay law is analyzed in detail and shown to be an interesting approach for the analysis of complex luminescence decays. A decay function unifying the modified
A luminescence decay function encompassing the stretched exponential and the compressed hyperbola
Abstract A luminescence relaxation function I ( t / τ 0 ; α , β ) unifying the stretched exponential with the compressed hyperbola is obtained. The scaling parameter τ 0 has dimensions of time,
Luminescence decay in disordered low‐dimensional semiconductors
The luminescence decay of excitons in disordered low‐dimensional semiconductors with quantum confinement is shown experimentally to be characterized by a nonexponential profile and an absence of
Luminescence decays with underlying distributions: General properties and analysis with mathematical functions
In this work, an analysis of the general properties of the luminescence decay law is carried out. The conditions that a luminescence decay law must satisfy in order to correspond to a probability
Apparent stretched-exponential luminescence decay in crystalline solids
Abstract The relaxation of different physical systems has been found to follow the stretched-exponential law, exp[−(t/τ)β] with 0
Possible generalization of Boltzmann-Gibbs statistics
With the use of a quantity normally scaled in multifractals, a generalized form is postulated for entropy, namelySq ≡k [1 – ∑i=1W piq]/(q-1), whereq∈ℝ characterizes the generalization andpi are the
Non-extensive statistical mechanics and generalized Fokker-Planck equation
A non-linear, generalized Fokker-Planck (GFP) equation is studied whose exact stationary solutions are the maximum entropy distributions introduced by Tsallis in his generalization of Statistical
Composite systems with extensive Sq (power-law) entropies
The problem of characterizing the kind of correlations leading to an extensive behaviour of the Sq (power-law) entropic measure has recently been considered by Tsallis, Gell–Mann and Sato (TGS)