Statistical mechanical interpretation of new thermal variables of Grüneisen equation of state for solids

1996 ◽  
Author(s):  
Kunihito Nagayama
Keyword(s):  
Equation Of State ◽  
Statistical Mechanical ◽  
Mechanical Interpretation

On the statistical mechanical interpretation of the translational energy dependence of rate processes

1979 ◽  
Vol 57 (3) ◽  
pp. 486-489 ◽  
Author(s):  
B. Shizgal ◽  
J. M. Fitzpatrick
Keyword(s):  
Energy Dependence ◽  
Rate Coefficient ◽  
Relative Energy ◽  
Particle Energy ◽  
Translational Energy ◽  
Rate Processes ◽  
Statistical Mechanical ◽  
Mechanical Interpretation ◽  
Collision Processes ◽  
Disparate Mass

The rate coefficient for the rates of binary gas phase collision processes is expressed as an integral over the relative translational energy of the particles involved in a collision and as an integral over the energy of one of the particles. It is found that these representations of the rate coefficient provide two very different conceptual pictures of the translational energy dependence of rate processes. For systems with a disparate mass ratio (of the order of 10−2 to 10−1), it is found that the integration over the light particle energy coincides (approximately) with the integration over the relative energy.

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.

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