Polynomial algebra with reflection symmetry and thermostatistics

2015 ◽  
Vol 30 (29) ◽  
pp. 1550153
Author(s):  
Won Sang Chung
Keyword(s):  
Distribution Function ◽  
Specific Heat ◽  
Polynomial Algebra ◽  
Occupation Number ◽  
Reflection Symmetry ◽  
Number Operator ◽  
Exotic Particle ◽  
Parity Operator

In this paper, we use the reflection (or parity) operator to construct the new algebra whose maximum occupation number is finite. For the Hamiltonian proportional to the number operator, we discuss the thermostatistics and compute the thermodynamical quantities such as distribution function, multiparticle distribution function, mean energy and specific heat. We also calculate the intercept for this algebra to show that a particle obeying this algebra is an exotic particle which is neither a boson nor a fermion.

The free electron theory of metals

2018 ◽  
Author(s):  
L. Solymar ◽  
D. Walsh ◽  
R. R. A. Syms
Keyword(s):  
Distribution Function ◽  
Specific Heat ◽  
Work Function ◽  
Field Emission ◽  
Density Of States ◽  
Free Electron ◽  
Thermionic Emission ◽  
Photoelectric Effect ◽  
Electron Theory ◽  
Dirac Distribution

The model of the free electron theory is presented. The density of states and the Fermi–Dirac distribution function are discussed, leading to the specific heat of the electrons, the work function, thermionic emission, and the Schottky effects. As examples of applications the field-emission microscope and quartz–halogen lamps are discussed. The photoelectric effect and the energy diagrams relating to the junction between two metals are also discussed.

scholarly journals DEFORMED QUANTUM STATISTICS IN TWO DIMENSIONS

2009 ◽  
Vol 23 (02) ◽  
pp. 235-250 ◽  
Author(s):  
A. LAVAGNO ◽  
P. NARAYANA SWAMY
Keyword(s):  
Specific Heat ◽  
Thermodynamic Functions ◽  
Occupation Number ◽  
Ideal Gas ◽  
Two Dimensions ◽  
Fixed Temperature ◽  
Standard Case ◽  
Deformed Oscillator ◽  
Spatial Dimensions ◽  
Deformed Oscillator Algebra

It is known from the early work of May in 1964 that ideal Bose gas do not exhibit condensation phenomenon in two dimensions. On the other hand, it is also known that the thermostatistics arising from q-deformed oscillator algebra has no connection with the spatial dimensions of the system. Our recent work concerns the study of important thermodynamic functions such as the entropy, occupation number, internal energy and specific heat in ordinary three spatial dimensions, where we established that such thermostatistics is developed by consistently replacing the ordinary thermodynamic derivatives by the Jackson derivatives. The thermostatistics of q-deformed bosons and fermions in two spatial dimensions is an unresolved question that is the subject of this investigation. We study the principal thermodynamic functions of both bosons and fermions in the two-dimensional q-deformed formalism and we find that, different from the standard case, the specific heat of q-boson and q-fermion ideal gas, at fixed temperature and number of particles, are no longer identical.

Lattice Dynamics and Thermal Expansion of Ruthenium

1979 ◽  
Vol 34 (6) ◽  
pp. 724-730 ◽  
Author(s):  
R. Ramji Rao ◽  
J. V. S. S. Narayana Murthy
Keyword(s):  
Thermal Expansion ◽  
Distribution Function ◽  
Bulk Modulus ◽  
Specific Heat ◽  
Temperature Variation ◽  
Frequency Distribution ◽  
Lattice Dynamics ◽  
Pressure Variation ◽  
Frequency Distribution Function ◽  
Lattice Specific Heat

Abstract The lattice dynamics, lattice specific heat and thermal expansion of ruthenium are worked out using the model of Srinivasan and Ramji Rao, based on Keating’s approach. A total number of 50,880 frequencies has been used in constructing the frequency distribution function. The anharmonic parameters are obtained from the data of Clendenen and Drickamer on the pressure variation of the lattice parameters of ruthenium. The Anderson-Grüneisen parameter δ is calculated using the theoretical TOE constants, and the temperature variation of the bulk modulus is explained using Anderson’s theory.

COUPLED DOUBLE-DISTRIBUTION-FUNCTION LATTICE BOLTZMANN MODEL WITH AN ADJUSTABLE BULK VISCOSITY

2008 ◽  
Vol 19 (12) ◽  
pp. 1919-1938 ◽  
Author(s):  
Q. LI ◽  
Y. L. HE ◽  
Y. J. GAO
Keyword(s):  
Distribution Function ◽  
Prandtl Number ◽  
Specific Heat ◽  
Bulk Viscosity ◽  
Lattice Boltzmann ◽  
Stokes Equations ◽  
Lattice Boltzmann Model ◽  
Specific Heat Ratio ◽  
Boltzmann Model ◽  
Correction Terms

A coupled double-distribution-function (DDF) lattice Boltzmann method was recently developed for the compressible Navier–Stokes equations. In this method, the specific-heat ratio and the Prandtl number can be easily adjusted. However, the ratio between the bulk and shear viscosities is fixed at a value related to the specific-heat ratio. In order to obtain a bulk viscosity satisfying the Stokes' hypothesis or an adjustable bulk viscosity in the recovered momentum and energy equations, correction terms, which are proportional to the divergence of macroscopic velocity, are incorporated into the microscopic evolution equations. The constraints imposed on these correction terms can be derived from the Chapman–Enskog analysis. With these constraints, the forms of the correction terms can be determined, and then a coupled DDF lattice Boltzmann model with adjustable specific-heat ratio, Prandtl number, and bulk viscosity can be obtained. Numerical simulations are performed for the attenuation of sound waves. The numerical results are found to be in good agreement with the theoretical solutions.

The Specific Heat of Steam

1882 ◽  
Vol 14 (342supp) ◽  
pp. 5451-5452
Author(s):  
J. MacFarlane Gray
Keyword(s):  
Specific Heat
Sign in / Sign up

Export Citation Format

Share Document