Statistical Mechanics of Adsorption Phenomena. Virial Expansion, Equation of State and Adsorption Isotherms

1978 ◽  
Vol 259O (1) ◽  
Author(s):  
S. Sokolowski
Keyword(s):  
Equation Of State ◽  
Statistical Mechanics ◽  
Adsorption Isotherms ◽  
Virial Expansion ◽  
Adsorption Phenomena

Equation of State and Virial Coefficients of An Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimensions

1997 ◽  
Vol 11 (18) ◽  
pp. 765-772 ◽  
Author(s):  
Kazumoto Iguchi
Keyword(s):  
Equation Of State ◽  
Statistical Mechanics ◽  
Virial Coefficients ◽  
Quantum Statistical Mechanics ◽  
Ideal Gas ◽  
Virial Expansion ◽  
Momentum Representation ◽  
Quantum Statistical ◽  
Arbitrary Dimensions ◽  
The Relationship

Equation of state and virial coefficients of an ideal gas with fractional exclusion (i.e. Haldane–Wu) statistics in arbitrary dimensions are derived herein, using the quantum statistical mechanics formulation for pressure and density of the system in terms of the D-dimensional momentum representation. The relationship between the convergence of the virial expansion and the existence of condensation is shown for this system.

The theory of rubber elasticity

1976 ◽  
Vol 351 (1666) ◽  
pp. 397-406 ◽  
Keyword(s):  
Equation Of State ◽  
Statistical Mechanics ◽  
Equations Of State ◽  
Rubber Elasticity ◽  
Elastic Behaviour ◽  
Excluded Volume ◽  
Simple Pattern ◽  
Dynamical Approach ◽  
Equilibrium Approach ◽  
The Future

It is argued that since statistical mechanics has developed in two ways, the dynamical approach of Boltzmann and the equilibrium approach of Gibbs, both should be valuable in rubber elasticity. It is shown that this is indeed the case, and the generality of these approaches allows one to study the problem in greater depth than hitherto. In particular, damping terms in the elastic behaviour of rubber can be calculated, and also the effect of entanglements and excluded volume on the equation of state. It is noticeable that although the calculated equations of state are quite complex, they do not fit into a simple pattern of invariants. The future for these developments is briefly discussed.

THERMODYNAMICS OF q-MODIFIED BOSONS

1996 ◽  
Vol 10 (06) ◽  
pp. 683-699 ◽  
Author(s):  
P. NARAYANA SWAMY
Keyword(s):  
Mechanical Properties ◽  
Phase Transition ◽  
Equation Of State ◽  
Partition Function ◽  
Statistical Mechanics ◽  
Specific Heat ◽  
Thermodynamic Functions ◽  
Bose Condensation ◽  
Grand Partition Function ◽  
Statistical Mechanical

Based on a recent study of the statistical mechanical properties of the q-modified boson oscillators, we develop the statistical mechanics of the q-modified boson gas, in particular the Grand Partition Function. We derive the various thermodynamic functions for the q-boson gas including the entropy, pressure and specific heat. We demonstrate that the gas exhibits a phase transition analogous to ordinary bose condensation. We derive the equation of state and develop the virial expansion for the equation of state. Several interesting properties of the q-boson gas are derived and compared with those of the ordinary boson which may point to the physical relevance of such systems.

BET Adsorption Isotherm and Surface Heterogeneity

1992 ◽  
Vol 57 (6) ◽  
pp. 1201-1209
Author(s):  
Lydia Ethel Cascarini de Torre ◽  
Eduardo Jorge Bottani
Keyword(s):  
Distribution Function ◽  
Adsorption Isotherm ◽  
Statistical Mechanics ◽  
Adsorption Isotherms ◽  
Surface Heterogeneity ◽  
Adsorption Energies ◽  
Multilayer Formation ◽  
Effect Of Surface

The BET adsorption isotherm is modified in order to take account of surface heterogeneity. The adsorption isotherm is obtained following the statistical mechanics formalism, proposed by Steele, and the effect of surface heterogeneity is limited to the first layer. A Gaussian adsorption energies distribution function is used to describe surface heterogeneity. The variations of the C parameter, multilayer formation and the inversion of adsorption isotherms are analysed.

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