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FERMDIRAName:
The Fermi-Dirac function of order 0.5 is defined as:
The Fermi-Dirac function of order 1.5 is defined as:
The Fermi-Dirac function of order 2.5 is defined as:
where is the gamma function. If the specified order is within 0.1 of one of the supported orders, Dataplot will use the supported order. Otherwise, it returns an error message. Dataplot computes this function using ACM Algorithm 779 (see Reference: below). Specifically, it uses the routines FDM0P5, FDP0P5, FDP1P5, and FDP2P5.
where <x> is a non-negative number, variable or parameter; <ord> is a non-negative integer number, parameter, or variable containing one of -0.5, 0.5, 1.5, or 2.5; <y> is a variable or a parameter (depending on what <x> and <ord> are) where the computed Fermi-Dirac function values are stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET A = FERMDIRA(X,A1) LET X2 = FERMDIRA(X1,0.5) FOR X1 = -20 0.01 20
MULTIPLOT 2 2 MULTIPLOT CORNER COORDINATES 5 5 95 95 MULTIPLOT SCALE FACTOR 2 LET ORDER = -0.5 TITLE ORDER = ^ORDER PLOT FERMDIRA(X,ORDER) FOR X = -10 0.1 50 LET ORDER = 0.5 TITLE ORDER = ^ORDER PLOT FERMDIRA(X,ORDER) FOR X = -10 0.1 50 LET ORDER = 1.5 TITLE ORDER = ^ORDER PLOT FERMDIRA(X,ORDER) FOR X = -10 0.1 50 LET ORDER = 2.5 TITLE ORDER = ^ORDER PLOT FERMDIRA(X,ORDER) FOR X = -10 0.1 50 END OF MULTIPLOT MOVE 50 97 JUSTIFICATION CENTER TEXT FERMI-DIRAC FUNCTIONS
Date created: 5/31/2002 |