THE NEW STATISTICS OF GASES AND RADIATION; THE BOSE STATISTICS FOR LIGHT QUANTA; THE EINSTEIN THEORY OF AN IDEAL GAS

2011 ◽  
pp. 233-240
Author(s):  
George Birtwistle
Keyword(s):  
Ideal Gas ◽  
Einstein Theory ◽  
Bose Statistics ◽  
Light Quanta ◽  
New Statistics

scholarly journals BEC IN NONEXTENSIVE STATISTICAL MECHANICS

2000 ◽  
Vol 14 (04) ◽  
pp. 405-409 ◽  
Author(s):  
LUCA SALASNICH
Keyword(s):  
Transition Temperature ◽  
Statistical Mechanics ◽  
Dimensional Space ◽  
Ideal Gas ◽  
Einstein Condensation ◽  
Nonextensive Statistical Mechanics ◽  
Small Deviations ◽  
Bose Einstein Condensation ◽  
Bose Statistics ◽  
Bose Einstein

We discuss the Bose–Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the st and ard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The results show that small deviations from the extensive Bose statistics produce remarkably large changes in the BEC transition temperature.

FIFTY YEARS OF HARD-SPHERE BOSE GAS: 1957–2007

2007 ◽  
Vol 21 (30) ◽  
pp. 5059-5073
Author(s):  
KERSON HUANG
Keyword(s):  
Optical Lattice ◽  
Hard Sphere ◽  
Original Work ◽  
Bose Gas ◽  
Ideal Gas ◽  
Perturbation Series ◽  
Bogoliubov Transformation ◽  
Crossover Region ◽  
Macroscopic System ◽  
Bose Statistics

Fifty years ago, Yang and I worked on the dilute hard-sphere Bose gas, which has been experimentally realized only relatively recently. I recount the background of that work, subsequent developments, and fresh understanding. In the original work, we had to rearrange the perturbation series, which was equivalent to the Bogoliubov transformation. A deeper reason for the rearrangement has been a puzzle. I can now explain it as a crossover from ideal gas to interacting gas behavior, a phenonmenon arising from Bose statistics. The crossover region is infinitesimally small for a macroscopic system, and thus unobservable. However, it is experimentally relevant in mesoscopic systems, such as a Bose gas trapped in an external potential, or on an optical lattice.

The theory of neutral particles

1948 ◽  
Vol 44 (2) ◽  
pp. 229-241 ◽  
Author(s):  
K. J. Le Couteur
Keyword(s):  
Configuration Space ◽  
Quantum Electrodynamics ◽  
Rest Mass ◽  
Light Quantum ◽  
Neutral Particles ◽  
Bose Statistics ◽  
Light Quanta ◽  
Fermi Statistics ◽  
Previous Discussion ◽  
Integral Spin

Several authors (1, 2, 3) have discussed the formulation of quantum electrodynamics in the configuration space of the light quanta; they conclude that no meaning can be given to the position of a light quantum, but it is not made clear whether this situation is due to the vanishing of the charge or of the rest mass. However, since the previous discussion (2, 3), various neutral particles of non-vanishing rest mass have been postulated, and it is of interest to consider what meaning can be given to the position of such particles. We shall at first consider integral spin and Bose statistics; the case of spin ½ and Fermi statistics is simpler and is briefly discussed in the last section.

Introducing the new statistics in the classroom.

2019 ◽  
Vol 5 (2) ◽  
pp. 162-168
Author(s):  
Christopher J. Normile ◽  
Emily K. Bloesch ◽  
Christopher C. Davoli ◽  
Kyle C. Scherr
Keyword(s):  
New Statistics

Ideal–Gas Thermochemical Properties for Alkanolamine and Related Species Involved in Carbon Capture Applications

2020 ◽  
Author(s):  
Nayyereh hatefi ◽  
William Smith
Keyword(s):  
Heat Capacity ◽  
Electronic Structure ◽  
Co2 Capture ◽  
Carbon Capture ◽  
Ideal Gas ◽  
Thermochemical Properties ◽  
Temperature Range ◽  
Comparison Results ◽  
Electronic Structure Methods ◽  
Protonated Forms

<div>Ideal{gas thermochemical properties (enthalpy, entropy, Gibbs energy, and heat capacity, Cp) of 49 alkanolamines potentially suitable for CO2 capture applications and their carbamate and protonated forms were calculated using two high{order electronic structure methods, G4 and G3B3 (or G3//B3LYP). We also calculate for comparison results from the commonly used B3LYP/aug-cc-pVTZ method. This data is useful for the construction of molecular{based thermodynamic models of CO2 capture processes involving these species. The Cp data for each species over the temperature range 200 K{1500 K is presented as functions of temperature in the form of NASA seven-term polynomial expressions, permitting the set of thermochemical properties to be calculated over this temperature range. The accuracy of the G3B3 and G4 results is estimated to be 1 kcal/mol and the B3LYP/aug-cc-pVTZ results are of nferior quality..</div>

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