scholarly journals POD curves for non-maximizable ultrasonic responses: Statistical derivation and application to solid freight axles

2016 ◽  
Author(s):  
Michele Carboni ◽  
Stefano Cantini
Keyword(s):  
Statistical Derivation

A Statistical Derivation of Langmuir's Adsorption Isotherm

1935 ◽  
Vol 31 (2) ◽  
pp. 260-264 ◽  
Author(s):  
R. H. Fowler
Keyword(s):  
Adsorption Isotherm ◽  
Equilibrium State ◽  
Ab Initio ◽  
Statistical Methods ◽  
Adsorbed Layer ◽  
Gas Pressure ◽  
Saturation Effect ◽  
Adsorbed Molecules ◽  
Statistical Derivation ◽  
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The commonest form of Langmuir's adsorption isotherm iswhere θ is the fraction of the surface of the solid covered by adsorbed molecules, p the gas pressure in equilibrium with the adsorbed layer and A = A (T) a function of the temperature alone. This formula is usually derived by a kinetic argument which balances the rates of deposition and re-evaporation. It is perhaps not without interest to show that formula (1) and similar formulae can be obtained directly by the usual statistical methods which evaluate all the properties of the equilibrium state of any assembly. The ordinary derivation is apt to obscure the essentially thermodynamic character of (1) and to lead one to think that its form depends on the precise mechanisms of deposition and re-evaporation, whereas in fact it depends only on the whole set of states, adsorbed and free, accessible to the molecules in question. By suitable use of the usual technique for handling assemblies obeying the Fermi-Dirac statistics the saturation effect can be naturally incorporated in the theory ab initio.

Quantum Statistical Derivation of Ferromagnetic-Resonance Equations

1965 ◽  
Vol 140 (4A) ◽  
pp. A1296-A1303 ◽  
Author(s):  
O. A. Olkhov ◽  
B. N. Provotorov
Keyword(s):  
Ferromagnetic Resonance ◽  
Statistical Derivation ◽  
Quantum Statistical

A Statistical Derivation of the B.E.T. Equation

1954 ◽  
Vol 22 (9) ◽  
pp. 1617-1618 ◽  
Author(s):  
Tominaga Keii
Keyword(s):  
Statistical Derivation

scholarly journals Spectrum of γ-Fluids: A statistical derivation

1996 ◽  
Vol 35 (9) ◽  
pp. 2013-2018 ◽  
Author(s):  
J. A. E. Carrillo ◽  
J. A. S. Lima ◽  
A. Maia
Keyword(s):  
Statistical Derivation
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