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Fermi-Dirac Integrals in Degenerate Regimes: Novel Asymptotic Expansion
We characterize in a novel manner the physical properties of the low temperature Fermi gas in the degenerate domain as a function of temperature and...
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The Compressible Euler and Acoustic Limits from Quantum Boltzmann Equation with Fermi–Dirac Statistics
This paper justifies the compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi–Dirac statistics rigorously. By employing...
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On the Convergence to Equilibrium for the Spatially Homogeneous Boltzmann Equation for Fermi–Dirac Particles
In this paper we prove the strong and time-averaged strong convergence to equilibrium for solutions (with general initial data) of the spatially...
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Indistinguishable elements in the origins of quantum statistics. The case of Fermi–Dirac statistics
In this paper, we deal with the historical origins of Fermi–Dirac statistics, focusing on the contribution by Enrico Fermi of 1926. We argue that...
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About the Use of Entropy Production for the Landau–Fermi–Dirac Equation
In this paper, we present new estimates for the entropy dissipation of the Landau–Fermi–Dirac equation (with hard or moderately soft potentials) in...
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More Functional Integrals
In the last chapter, we found a functional integral representation for the correlation functions of areal scalar field.
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Evaluation of Definite Integrals II: Applications to Various Types of Integrals
In the previous section, we demonstrated that poles and branch points, rather than being two completely different cases that must be treated...
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Thermopower, figure of merit and Fermi integrals
The thermoelectric efficiency accounting for the conversion of thermal energy into electricity is usually given by the figure of merit which involves...
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Integrating by parts at finite density
Both nonzero temperature and chemical potentials break the Lorentz symmetry present in vacuum quantum field theory by singling out the rest frame of...
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Nonequilibrium Characteristics of Heat Transfer of Copper in a Wide Temperature Range
AbstractThe characteristics of nonequilibrium heat transfer of copper, such as thermal conductivity and heat capacity, are obtained in a wide...
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Collision integrals for cosmological phase transitions
The dynamics of the true-vacuum bubbles nucleated during a first-order phase transition is affected by the distribution functions of the particle...
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Recalculation of Intrinsic Carrier Concentration in Silicon at T = 300 K in Presence of Degenerate Do**
The intrinsic carrier concentration in silicon at T = 300 K is recalibrated in presence of degenerate do** considering Phosphorous as a dopant,...
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Quantum electrodynamics of non-Hermitian Dirac fermions
We develop an effective quantum electrodynamics for non-Hermitian (NH) Dirac materials interacting with photons. These systems are described by...
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Analytical Approximation to Equation of State for Degenerate Electron Gas
AbstractThe equation of state for a degenerate electron gas is derived in an explicit form from the Fermi–Dirac distribution due to analytical...
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Restructured single parabolic band model for quick analysis in thermoelectricity
The single parabolic band (SPB) model has been widely used to preliminarily elucidate inherent transport behaviors of thermoelectric (TE) materials,...
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Multimode Friedel oscillations in monolayer and bilayer graphene
This study systematically explores the influence of charged impurities on static screening in monolayer graphene and extends the investigation to...
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Why Imaginary Time? QM of the Fermi Oscillator and Path Integrals
The path integral for the Fermi oscillator defined by the evolution kernel...
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On the Constitutive Assumptions for a Continuum Model of Scintillating Crystals
For inorganic scintillating crystals, we show how the evolution equation for the charge carriers densities can be obtained by modeling the crystal as...
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An algorithm of calculating transport parameters of thermoelectric materials using single Kane band model with Riemann integral methods
We develop an algorithm called SKBcal to conveniently calculate within minutes the thermoelectric transport parameters such as reduced Fermi level ( η )...
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Analytic Solution of the System of Integro-Differential Equations for the Plasma Model in an External Field
AbstractWe study a system of two integro-differential equations that arises as the result of linearization of Boltzmann–Maxwell’s kinetic equations,...
