Academic literature on the topic 'Boltzmann-Fermi-Dirac equation'
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Journal articles on the topic "Boltzmann-Fermi-Dirac equation"
Mendl, Christian B. "Matrix-valued quantum lattice Boltzmann method." International Journal of Modern Physics C 26, no. 10 (June 24, 2015): 1550113. http://dx.doi.org/10.1142/s0129183115501132.
Full textJiang, Ning, Linjie Xiong, and Kai Zhou. "The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation." Journal of Differential Equations 308 (January 2022): 77–129. http://dx.doi.org/10.1016/j.jde.2021.10.061.
Full textJiang, Ning, and Kai Zhou. "The acoustic limit from the Boltzmann equation with Fermi-Dirac statistics." Journal of Differential Equations 398 (July 2024): 344–72. http://dx.doi.org/10.1016/j.jde.2024.04.014.
Full textStańczy, R. "The existence of equilibria of many-particle systems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139, no. 3 (May 26, 2009): 623–31. http://dx.doi.org/10.1017/s0308210508000413.
Full textBENEDETTO, D., M. PULVIRENTI, F. CASTELLA, and R. ESPOSITO. "ON THE WEAK-COUPLING LIMIT FOR BOSONS AND FERMIONS." Mathematical Models and Methods in Applied Sciences 15, no. 12 (December 2005): 1811–43. http://dx.doi.org/10.1142/s0218202505000984.
Full textDolbeault, J. "Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles." Archive for Rational Mechanics and Analysis 127, no. 2 (1994): 101–31. http://dx.doi.org/10.1007/bf00377657.
Full textAllemand, Thibaut. "Existence and conservation laws for the Boltzmann–Fermi–Dirac equation in a general domain." Comptes Rendus Mathematique 348, no. 13-14 (July 2010): 763–67. http://dx.doi.org/10.1016/j.crma.2010.06.015.
Full textLu, Xuguang, and Bernt Wennberg. "On Stability and Strong Convergence for the Spatially Homogeneous Boltzmann Equation for Fermi-Dirac Particles." Archive for Rational Mechanics and Analysis 168, no. 1 (June 1, 2003): 1–34. http://dx.doi.org/10.1007/s00205-003-0247-8.
Full textFigueiredo, José L., João P. S. Bizarro, and Hugo Terças. "Weyl–Wigner description of massless Dirac plasmas: ab initio quantum plasmonics for monolayer graphene." New Journal of Physics 24, no. 2 (February 1, 2022): 023026. http://dx.doi.org/10.1088/1367-2630/ac5132.
Full textMuljadi, Bagus Putra, and Jaw-Yen Yang. "Simulation of shock wave diffraction by a square cylinder in gases of arbitrary statistics using a semiclassical Boltzmann–Bhatnagar–Gross–Krook equation solver." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2139 (November 2, 2011): 651–70. http://dx.doi.org/10.1098/rspa.2011.0275.
Full textDissertations / Theses on the topic "Boltzmann-Fermi-Dirac equation"
Borsoni, Thomas. "Contributions autour de l'équation de Boltzmann et certaines de ses variantes." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS099.
Full textWe study some variants of the Boltzmann equation, the latter describing, via a classical approach, single and monatomic rarefied gases at the mesoscopic scale. First, we propose a general framework for Boltzmann modelling of polyatomic gases, encompassing a wide class of pre-existing models and allowing to build new ones. Primarily presented for a single gas, the framework is then extended to mixtures, within which we allow binary chemical reactions. Second, we focus on a singular type of polyatomic gas, the molecules of which undergo resonant collisions, and prove a compactness property of the linearized operator related to this model. In order to make the latter resonant framework more flexible, we then propose a Boltzmann formalism with quasi-resonant collisions, study its key properties and conduct numerical experiences to support our understanding of them. Third, we turn our attention towards a Boltzmann equation which includes Pauli's exclusion principle, notably used in the study of electron distributions in semi-conductors. We develop a method that allows to transfer some functional inequalities, related to entropy, which are known in the classical case, to this quantum case. As a consequence, we use these new inequalities to obtain an explicit rate of relaxation to equilibrium for solutions to the homogeneous Boltzmann-Fermi-Dirac equation with cut-off hard potentials
Book chapters on the topic "Boltzmann-Fermi-Dirac equation"
Chen, Gang. "Particle Description Of Transport Processes: Classical Laws." In Nanoscale Energy Transport And Conversion, 227–81. Oxford University PressNew York, NY, 2005. http://dx.doi.org/10.1093/oso/9780195159424.003.0006.
Full textTuckerman, Mark E. "Quantum ideal gases: Fermi-Dirac and Bose-Einstein statistics." In Statistical Mechanics: Theory and Molecular Simulation, 446–85. 2nd ed. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780198825562.003.0011.
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