Zeros of the Grand Partition Function

ABSTRACTWithin the framework of a grand partition function formalism, we examine the occupancy of the dangling bond dislocation defect sites and the VGa-ON dislocation defect sites within uncompensated n-type gallium nitride. The sensitivity of these results to variations in the unoccupied dislocation defect energy level is examined. We find that the VGa-ON dislocation defect sites’ greater capacity to store charge plays a large role in influencing the results, i.e., greater free electron and bulk donor concentrations are required in order to fully saturate the threading dislocation lines with charge.

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Grand partition function for an ideal gas in a constant external potential and gauge transformations at finite temperature

Physics Letters B ◽

10.1016/0370-2693(84)91580-6 ◽

1984 ◽

Vol 149 (1-3) ◽

pp. 182-186 ◽

Cited By ~ 2

Author(s):

Ludwik Lehman

Keyword(s):

Partition Function ◽

Finite Temperature ◽

Ideal Gas ◽

External Potential ◽

Grand Partition Function ◽

Gauge Transformations

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THERMODYNAMICS OF q-MODIFIED BOSONS

International Journal of Modern Physics B ◽

10.1142/s0217979296000283 ◽

1996 ◽

Vol 10 (06) ◽

pp. 683-699 ◽

Cited By ~ 22

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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Surface distribution functions-virial expansions

Australian Journal of Chemistry ◽

10.1071/ch9770465 ◽

1977 ◽

Vol 30 (3) ◽

pp. 465 ◽

Cited By ~ 2

Author(s):

TH Spurling ◽

JE Lane

Keyword(s):

Monte Carlo ◽

Partition Function ◽

Radial Distribution ◽

Distribution Functions ◽

Radial Distribution Functions ◽

Grand Partition Function ◽

Surface Distribution ◽

Monte Carlo Calculations ◽

Virial Series

The grand partition function for the system of a gas interacting with a solid has been expanded as a virial series. Singlet and radial distribution functions derived from this have been calculated for the krypton/graphite interface and the results compared with those of recent Monte Carlo calculations. The implication of the results for the interpretation of experiments is discussed.

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Second nearest-neighbor interactions in ternary regular solutions

Canadian Journal of Chemistry ◽

10.1139/v92-326 ◽

1992 ◽

Vol 70 (10) ◽

pp. 2569-2573 ◽

Cited By ~ 3

Author(s):

Meguru Nagamori

Keyword(s):

Partition Function ◽

Present Model ◽

Nearest Neighbor ◽

Single Equation ◽

Heat Of Mixing ◽

Grand Partition Function ◽

Regular Solutions ◽

Third Order ◽

Entropy Of Mixing ◽

The Third

The concept of classical regular solutions has been expanded by considering both first and second nearest-neighbor interactions between randomly distributed molecules. While the present model requires an ideal entropy of mixing, as does the classic regularity model, its heat of mixing is expressed by a more flexible equation which attributes the second-order terms of the Margules formalism to first nearest-neighbor interactions, and the third-order terms to second nearest-neighbor interactions. The activity–composition relations have been expressed by a single equation of the grand partition function, which converges to that of the classical regularity with decreasing contributions from second nearest-neighbor molecules.

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