scholarly journals Ideal gas model of Bose-Einstein condensates confined in the parabolic trap

2019 ◽  
Vol 1402 ◽  
pp. 044084
Author(s):  
T B Prayitno ◽  
E Budi ◽  
R Fahdiran
Keyword(s):  
Ideal Gas ◽  
Bose Einstein ◽  
Ideal Gas Model

LIQUID HELIUM AND THE PROPERTIES OF FINITE BOSE–EINSTEIN ASSEMBLIES

1966 ◽  
Vol 44 (1) ◽  
pp. 27-43 ◽  
Author(s):  
D. F. Goble ◽  
L. E. H. Trainor
Keyword(s):  
Numerical Study ◽  
Ideal Gas ◽  
Bulk Liquid ◽  
Einstein Condensation ◽  
Helium Films ◽  
Bose Einstein Condensation ◽  
Specific Heats ◽  
Bose Einstein ◽  
Thin Helium Films ◽  
Ideal Gas Model

In order to explain certain properties of thin helium films, Ziman has proposed an ideal gas model in which the bulk liquid is treated as a collection of independent, Bose–Einstein assemblies each a few hundred angstroms in extent. In this paper, an extensive numerical study is made of the thermodynamic properties of such finite assemblies. In particular, the specific heats of thin films have been calculated on the basis of the model and the results compared with the experimental data of Frederikse. It is found that the model predicts a shift of the specific-heat maxima to higher temperatures as the film thickness is decreased, rather than to lower temperatures as required by the observations on actual helium films. The nature of the Bose–Einstein condensation in finite assemblies is discussed in some detail and some general conclusions are drawn concerning Ziman's model.

The combined effect of lattice’s uniaxial strains and electron–phonon interaction’s screening on TBEC of the intersite bipolarons

2016 ◽  
Vol 30 (26) ◽  
pp. 1650186
Author(s):  
B. Yavidov ◽  
SH. Djumanov ◽  
T. Saparbaev ◽  
O. Ganiyev ◽  
S. Zholdassova ◽  
...  
Keyword(s):  
Ideal Gas ◽  
Einstein Condensation ◽  
Chain Model ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Model Lattice ◽  
Experimental Values ◽  
Bose Einstein ◽  
Derivatives Of ◽  
The Ideal

Having accepted a more generalized form for density-displacement type electron–phonon interaction (EPI) force we studied the simultaneous effect of uniaxial strains and EPI’s screening on the temperature of Bose–Einstein condensation [Formula: see text] of the ideal gas of intersite bipolarons. [Formula: see text] of the ideal gas of intersite bipolarons is calculated as a function of both strain and screening radius for a one-dimensional chain model of cuprates within the framework of Extended Holstein–Hubbard model. It is shown that the chain model lattice comprises the essential features of cuprates regarding of strain and screening effects on transition temperature [Formula: see text] of superconductivity. The obtained values of strain derivatives of [Formula: see text] [Formula: see text] are in qualitative agreement with the experimental values of [Formula: see text] [Formula: see text] of La[Formula: see text]Sr[Formula: see text]CuO4 under moderate screening regimes.

scholarly journals Thermodynamic modeling of the Al-K system

2009 ◽  
Vol 45 (1) ◽  
pp. 89-93 ◽  
Author(s):  
Y. Du ◽  
X. Yuan ◽  
W. Sun ◽  
B. Hu
Keyword(s):  
Phase Diagram ◽  
Gas Phase ◽  
Thermodynamic Modeling ◽  
Phase Diagram Data ◽  
Ideal Gas ◽  
Monotectic Reaction ◽  
Present Calculation ◽  
Experimental Phase ◽  
Experimental Phase Diagram ◽  
Ideal Gas Model

A thermodynamic modeling for the Al-K system is conducted. The thermodynamic parameters for liquid, (Al), and (K) are evaluated by using the experimental phase diagram data from the literature. The gas phase is described with an ideal gas model. The calculated Al-K phase diagram agrees well with the experimental data. In particular, the observed monotectic reaction is well described by the present calculation.

scholarly journals Mathematical Model of Small-Volume Air Vessel Based on Real Gas Equation

Water ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 530 ◽  
Author(s):  
Weixiang Ni ◽  
Jian Zhang ◽  
Lin Shi ◽  
Tengyue Wang ◽  
Xiaoying Zhang ◽  
...  
Keyword(s):  
Water Depth ◽  
Small Volume ◽  
Pressure Oscillation ◽  
State Equation ◽  
Ideal Gas ◽  
Pipeline System ◽  
Real Gas ◽  
Polytropic Equation ◽  
Real Gas Equations ◽  
Ideal Gas Model

The gas characteristics of an air vessel is one of the key parameters that determines the protective effect on water hammer pressure. Because of the limitation of the ideal gas state equation applied for a small-volume vessel, the Van der Waals (VDW) equation and Redlich–Kwong (R–K) equation are proposed to numerically simulate the pressure oscillation. The R–K polytropic equation is derived under the assumption that the volume occupied by the air molecules themselves could be ignored. The effects of cohesion pressure under real gas equations are analyzed by using the method of characteristics under different vessel diameters. The results show that cohesion pressure has a significant effect on the small volume vessel. During the first phase of the transient period, the minimum pressure and water depth calculated by a real gas model are obviously lower than that calculated by an ideal gas model. Because VDW cohesion pressure has a stronger influence on the air vessel pressure compared to R–K air cohesion pressure, the amplitude of head oscillation in the vessel calculated by the R–K equation becomes larger. The numerical results of real gas equations can provide a higher safe-depth margin of the water depth required in the small-volume vessel, resulting in the safe operation of the practical pumping pipeline system.

Bose–Einstein ideal gas condensation

2015 ◽  
pp. 141-158
Author(s):  
William C. Schieve ◽  
Lawrence P. Horwitz
Keyword(s):  
Ideal Gas ◽  
Gas Condensation ◽  
Bose Einstein

scholarly journals Particle number fluctuations in a non-ideal pion gas

2018 ◽  
Vol 182 ◽  
pp. 02066
Author(s):  
Evgeni E. Kolomeitsev ◽  
Maxim E. Borisov ◽  
Dmitry N. Voskresensky
Keyword(s):  
Critical Point ◽  
Particle Number ◽  
Chemical Potential ◽  
Pion Mass ◽  
Thermodynamic Characteristics ◽  
Ideal Gas ◽  
Fixed Number ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein

We consider a non-ideal hot pion gas with the dynamically fixed number of particles in the model with the λφ4 interaction. The effective Lagrangian for the description of such a system is obtained by dropping the terms responsible for the change of the total particle number. Within the self-consistent Hartree approximation, we compute the effective pion mass, thermodynamic characteristics of the system and identify a critical point of the induced Bose-Einstein condensation when the pion chemical potential reaches the value of the effective pion mass. The normalized variance, skewness, and kurtosis of the particle number distributions are calculated. We demonstrate that all these characteristics remain finite at the critical point of the Bose-Einstein condensation. This is due to the non-perturbative account of the interaction and is in contrast to the ideal-gas case.

Sign in / Sign up

Export Citation Format

Share Document