Numerical Evaluation of the Fermi-Dirac Integrals

Cloutman, L.D.

doi:10.1086/191393

Cited by 37 publications

(25 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The interested reader might find them highlighted in [4] or earlier works. However, it may be mentioned that mainly two aspects which have bearing on the accuracy of the quadrature have received attention so far.…”

Section: The Mathematical Methodsmentioning

confidence: 99%

The accurate numerical evaluation of half‐order Fermi‐Dirac Integrals

Mohankumar

Natarajan

1995

Physica Status Solidi (b)

View full text Add to dashboard Cite

An efficient algorithm for the direct evaluation of Fermi-Dirac integrals of half orders is presented. The computational scheme consists of a modified trapezoidal rule which exactly corrects for the loss of accuracy caused by the presence of poles of the integrand. The analysis of the scheme leads to useful error bounds which indicate the quadrature scheme to be rapidly convergent. As much as 16 steps of trapezoidal summation along with at most 9 steps of pole correction can provide an accuracy of one part in 1014 for the usual range of values of the argument.

show abstract

Section: The Mathematical Methodsmentioning

confidence: 99%

The accurate numerical evaluation of half‐order Fermi‐Dirac Integrals

Mohankumar

Natarajan

1995

Physica Status Solidi (b)

View full text Add to dashboard Cite

show abstract

“…7 we have plotted ′ n N / c as a function of η for n ¼0 for a constant concentration x ¼0.12. The values for η − F ( ) 1 2 was taken from Cloutman [13]. Plugging in the values of η, K B and taking T¼ 300 K (room temperature), we get E F ¼0.051-0.258 eV when η varies from 2 to 10.…”

Section: Resultsmentioning

confidence: 99%

The density of states for ZnS Se1− materials in the presence of a uniform magnetic field

Al-Shabeeb

Arof

2015

Physica B: Condensed Matter

View full text Add to dashboard Cite

“…At finite temperatures, we have to evaluate numerically Fermi-Dirac integrals appearing in expressions for n i , n s i , P i and E i . The procedure for numerical integrals originally due to Cloutman [17] has been discussed in detail in our earlier work [15] and need not be elaborated in detail here. Throughout we have fixed the DDQM parameter C at 90 MeVf m is almost linear particularly at high µ ν e and µ ν µ .…”

Section: Resultsmentioning

confidence: 99%

Effect of Muons on the Phase Transition in Magnetized Proto-Neutron Star Matter

Gupta

Singh

et al. 2002

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

We study the effect of inclusion of muons and the muon neutrinos on the phase transition from nuclear to quark matter in a magnetised proto-neutron star and compare our results with those obtained by us without the muons. We find that the inclusion of muons changes slightly the nuclear density at which transition occurs.However the dependence of this transition density on various chemical potentials, temperature and the magnetic field remains quantitatively the same.

show abstract

Numerical Evaluation of the Fermi-Dirac Integrals

Cited by 37 publications

References 0 publications

The accurate numerical evaluation of half‐order Fermi‐Dirac Integrals

The accurate numerical evaluation of half‐order Fermi‐Dirac Integrals

The density of states for ZnS Se1− materials in the presence of a uniform magnetic field

Effect of Muons on the Phase Transition in Magnetized Proto-Neutron Star Matter

Contact Info

Product

Resources

About