THERMAL PROPERTIES OF INTERACTING ELECTRON GAS IN A HARMONIC POTENTIAL

In this work, the thermal properties, such as total energy, pressure and free energy of an interacting electron gas system have been investigated. The Thomas–Fermi equation was numerically solved for a harmonically confined, two-dimensional gas system at finite temperatures. Numerical results were compared with analytical ones provided by the literature for a non-interacting case at finite temperatures and for a interacting case at T = 0 K . Excellent agreement was achieved for both cases. The results indicate that interactions affect the density of particles and hence, the density-dependent thermal functions significantly.

Download Full-text

THERMODYNAMIC PROPERTIES OF AN ELECTRON GAS SYSTEM TRAPPED WITHIN VARIOUS SHAPES OF POTENTIALS

International Journal of Modern Physics B ◽

10.1142/s0217979212501524 ◽

2012 ◽

Vol 26 (26) ◽

pp. 1250152 ◽

Cited By ~ 2

Author(s):

BERNA GÜLVEREN

Keyword(s):

Thermodynamic Properties ◽

Physical Properties ◽

Total Energy ◽

Coulomb Potential ◽

Chemical Potential ◽

Electron Gas ◽

Particle Interactions ◽

Two Dimensional ◽

Confining Potential ◽

Gas System

The Thomas–Fermi (TF) equation is solved numerically for an electron gas system that interacts via the Coulomb potential. An emphasis is placed on how certain physical properties, such as the chemical potential and the total energy, change with the shape of the confinement at finite temperatures. By comparing these results with the results calculated for the noninteracting case, we are able to analyze how the inter-particle forces affect the thermodynamic properties of electrons. It is shown that the total energy and other properties of an electron gas is very sensitive to the particle interactions and the shape of the confining potential, even at high temperatures. The results are also applicable to nanostructures like two-dimensional quantum dot systems, wires.

Download Full-text

Magnetic and thermal properties of a two-dimensional electron gas

Physica B Condensed Matter ◽

10.1016/s0921-4526(84)94899-3 ◽

1984 ◽

Vol 127 (1-3) ◽

pp. 388-388 ◽

Cited By ~ 4

Author(s):

W ZAWADZKI

Keyword(s):

Thermal Properties ◽

Electron Gas ◽

Two Dimensional ◽

Dimensional Electron ◽

Two Dimensional Electron Gas ◽

Dimensional Electron Gas

Download Full-text

The adsorption of vapours on mercury. I. Non-polar substances

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1946.0065 ◽

1946 ◽

Vol 187 (1008) ◽

pp. 53-73 ◽

Cited By ~ 63

Keyword(s):

Free Energy ◽

Total Energy ◽

Langmuir Equation ◽

Phase Changes ◽

Two Dimensional ◽

Surface Phase ◽

Standard State ◽

Spreading Pressure ◽

Benzene Toluene ◽

Entropy Of Adsorption

Reversible results for the adsorption of benzene, toluene and n -heptane vapours on mercury have been obtained. The films were found to be gaseous and obeyed the Volmer eqution F ( A - b ) = kT , where F = spreading pressure, A =area per molecule and b = co-area. The possibility that the films might be immobile was considered and the Langmuir equation was applied but found unsatisfactory. A standard state for the surface phase was defined and the free energy, total energy and entropy of adsorption evaluated. The heat of adsorption was shown to increase with the amount on the surface. A number of phase changes were found to occur after the completion of monolayer adsorption, the most striking being interpreted as the change over from ‘flat’ to ‘vertical’ adsorption of the toluene molecules. Others were thought to be either two-dimensional condensation or adsorption of a second layer.

Download Full-text