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Extending Cercignani’s Conjecture Results from Boltzmann to Boltzmann–Fermi–Dirac Equation
We establish a connection between the relative Classical entropy and the relative Fermi–Dirac entropy, allowing to transpose, in the context of the...
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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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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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Exact Results for Bose–Einstein and Fermi–Dirac Statistics for Finite Generic Systems
Bose–Einstein and Fermi–Dirac statistics for finite systems have been developed using a simple generic entropy definition. The exact entropy...
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About the Landau-Fermi-Dirac Equation With Moderately Soft Potentials
We present some essential properties of solutions to the homogeneous Landau-Fermi-Dirac equation for moderately soft potentials. Uniform in time...
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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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Dirac lines and loop at the Fermi level in the time-reversal symmetry breaking superconductor LaNiGa2
Unconventional superconductors have Cooper pairs with lower symmetries than in conventional superconductors. In most unconventional superconductors,...
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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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Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems
AbstractIn recent years, graphene and other two-dimensional Dirac materials like silicene, germanene, etc. have been studied from different points of...
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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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Green–Kubo formula for Boltzmann and Fermi–Dirac statistics
Shear viscosity of nuclear matter is extracted via the Green–Kubo formula and the Gaussian thermostated SLLOD algorithm (the shear rate method) in a...
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Fermi–Dirac and Bose–Einstein Statistics
AsFermi–Dirac statistics|( we have seen in Chap. 6 , identical particles are indistinguishable, and if...
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Energy-Directed, Probabilistic, Self-Assembly
The Universe and Life arose through a process of energy-directed, probabilistic self-assembly, or Abiogenesis. Our surrounding macroscopic world of...
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Asymmetric Fermi velocity induced chiral magnetotransport anisotropy in the type-II Dirac semi-metal PtSe2
PtSe 2 is a recently discovered type-II Dirac semi-metal with heavily tilted Dirac cone in z -direction of the momentum. Negative magnetoresistance...
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Observation of a phase space horizon with surface gravity water waves
In 1974, Stephen Hawking predicted that quantum effects in the proximity of a black hole lead to the emission of particles and black hole...
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Importance of satisfying thermodynamic consistency in optoelectronic device simulations for high carrier densities
We show the importance of using a thermodynamically consistent flux discretization when describing drift–diffusion processes within light emitting...
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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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Unruh effect using Doppler shift method in DSR framework
We study the Unruh effect in doubly special relativity (DSR) framework by generalising the Doppler-shift method to DSR. For both the scalar and Dirac...
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Experimental electronic structure of the electrically switchable antiferromagnet CuMnAs
Tetragonal CuMnAs is a room temperature antiferromagnet with an electrically reorientable Néel vector and a Dirac semimetal candidate. Direct...
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On the Influence of Pauli Blocking on Pair Creation in Strong Electric Field
AbstractWe consider electron–positron plasma in strong electric field capable of creating electron–positron pairs. The dynamics of pair creation and...
