The thermodynamic properties of an ideal gas of bosons can be obtained from the grand partition function 10.1 $$ln\\\Xi (T,V,\\\mu ) = - \\\sum\\\limits_j {\\\ln } \\\left\\\{ {1 - \\\exp [ - \\\beta (\\\varepsilon j - \\\mu )]} ight\\\},$$ where the sum...
We begin by writing down the general expression of the partition function Z for a ther- modynamic system, which allows us to obtain the general expressions of the energy density and pressure of the pho- ton gas satisfying modified dispersion relations. The general formalism allows us to obtain...
(a) A short 1D wire is formed in a 2D electron gas using negatively biased split gates on top of a GaAs/GaAlAs heterojunction. A surface acoustic wave creates a moving potential well which captures an electron and acts as a pump. (b) Energy diagram of the moving quantum dot formed by ...
Before photodeposition, the solution was purged with nitrogen gas for 1 h. An undivided three-electrode cell composed of a N2-treated BiVO4 working electrode, a Pt counter electrode, and a Ag/AgCl (4 M KCl) reference electrode, was used. A 300 W Xe arc lamp (Oriel Newport) with an ...
We show that with a positive λ, the grand partition function, the energy density, the specific heat, the entropy, and the pressure are smaller than those of special relativity (SR), while the velocity of photons and the ratio of pressure to energy are larger. In contrast, with a ...
We obtain the partition function and derive some thermodynamical quantities of the system. To leading order, the results resemble those of a one- or two-dimensional photon gas with an enhanced density of states.doi:10.1088/2040-8978/15/3/035102Mohseni...
Ideal gasEntropy and internal energy boundsMomentum spacesQ-deformed quantum mechanicsIn this paper, we study thermodynamical properties of the extreme relativistic gases in canonical ensembles in non-commutative momentum spaces. In this regards, we exactly calculate the modified partiti...
We resort to the methods of statistical mechanics in order to determine the effects that a deformed dispersion relation has upon the thermodynamics of a photon gas. The ensuing modifications to the density of states, partition function, pressure, internal energy, entropy, and specific heat are ...
Ideal gasEntropy and internal energy boundsMomentum spacesQ-deformed quantum mechanicsIn this paper, we study thermodynamical properties of the extreme relativistic gases in canonical ensembles in non-commutative momentum spaces. In this regards, we exactly calculate the modified partition function, ...
The fluctuation-induced perturbation of the equilibrium variables (internal energy, entropy, heat capacity and compressibility) can be quantified in terms of the measured multipole coefficients by expanding the partition function around the equilibrium state in powers of the temperature random field. The ...