Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles

Jean Dolbeault

Type: Article

Publication Date: 1994-01-01

Citations: 84

DOI: https://doi.org/10.1007/bf00377657

View Publication

Download PDF

Locations

Archive for Rational Mechanics and Analysis - View
Zenodo (CERN European Organization for Nuclear Research) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Kinetic theory of quantum gases: beyond the Boltzmann equation	1989	G. Tastevin Pierre-Jean Nacher Franck Laloë
+ PDF Chat	Fermionic Molecular Dynamics for nuclear dynamics and thermodynamics	2010	Karim Hasnaoui Ph. Chomaz F. Gulminelli
+ PDF Chat	Generalized kinetic theory of electrons and phonons: models, equilibrium and stability	2003	A. Rossani A.M. Scarfone
+ PDF Chat	A new approach to solve the Boltzmann–Langevin equation for fermionic systems	2008	J. R. Rizzo Ph. Chomaz M. Colonna
+	Relativistic Effects in Quantum Mechanics: The Dirac Equation	2024
+	The Boltzmann-Lorentz model for particles with spin	1986	Marek Dudyński
+	The Boltzmann-Lorentz model for particles with spin	1988	Marek Dudyński
+	The Boltzmann-Lorentz model for particles with spin	1986	Marek Dudyński
+	Quantum Kinetic Theory of Plasmas	2021	Gert Brodin Jens Zamanian
+	Quantum Kinetic Theory of Plasmas	2021	Gert Brodin Jens Zamanian
+	The relativistic Boltzmann equation.	1972	W. Israel
+	Kinetic theory for quantum gases	1991	G. Tastevin Pierre-Jean Nacher Franck Laloë
+	Quantum kinetic theory for spin transport: general formalism for collisional effects	2020	Di-Lun Yang Yoshimasa Hidaka Koichi Hattori
+	Quantum Kinetic Theory of Gases and Plasmas	2024	Yu. L. Klimontovich G. Pontecorvo
+	Kinetic Entropy-Based Measures of Distribution Function Non-Maxwellianity: Theory and Simulations	2020	Haohan Liang M. Hasan Barbhuiya P. A. Cassak Oreste Pezzi S. Servidio F. Valentini G. P. Zank
+	Boltzmann Equation (Classical and Quantum)	2006	Mario Pulvirenti
+	Fermi–Dirac equation of state	2002
+	Towards a kinetic theory for fermions with quantum coherence	2008	Matti Herranen Kimmo Kainulainen Pyry Matti Rahkila
+	Quantum kinetic theory of polyatomic gases	1975	H. Moraal
+	The relativistic Boltzmann equation - mathematical and physical aspects	2007	Marek Dudyński Maria L. Ekiel-Jeżewska

Works That Cite This (75)

Action	Title	Year	Authors
+ PDF Chat	The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation	2021	Ning Jiang Linjie Xiong Kai Zhou
+ PDF Chat	The Compressible Euler and Acoustic Limits from Quantum Boltzmann Equation with Fermi–Dirac Statistics	2024	Ning Jiang Kai Zhou
+	Homogenized Diffusion Limit of a Vlasov–Poisson–Fokker–Planck Model	2016	Mohamed Lazhar Tayeb
+	Well-Posedness of the Cauchy Problem for a Space-Dependent Anyon Boltzmann Equation	2015	Leif Arkeryd Anne Nouri
+	A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem	2010	Leif Arkeryd
+	Stability estimates of the Boltzmann equation with quantum effects	2006	Myeongju Chae Seung‐Yeal Ha
+ PDF Chat	Stationary Quantum BGK Model for Bosons and Fermions in a Bounded Interval	2019	Gi-Chan Bae Seok-Bae Yun
+ PDF Chat	Entropy maximisation problem for quantum relativistic particles	2005	Miguel Escobedo Stéphane Mischler Manuel Valle
+	The incompressible Euler limit of the Boltzmann equation for a gas of fermions	2010	Thibaut Allemand
+	On a quantum Boltzmann equation for a gas of photons	2001	Miguel Escobedo Stéphane Mischler

Works Cited by This (12)

Action	Title	Year	Authors
+	Principles of the Kinetic Theory of Gases	1958	Harold Grad
+	Fundamentals of Maxwell's Kinetic Theory of a Simple Monatomic Gas - Treated as a Branch of Rational Mechanics	1980	C. Truesdell Robert G. Muncaster
+	Regularity of the moments of the solution of a Transport Equation	1988	François Golse Pierre-Louis Lions Benoı̂t Perthame Rémi Sentis
+	Convergence to equilibrium in large time for Boltzmann and B.G.K. equations	1990	Laurent Desvillettes
+	Global solutions of Boltzmann's equation and the entropy inequality	1991	Ronald J. DiPerna Pierre‐Louis Lions
+	Problemes aux limites pour l'equation de boltzmann: existence globale de solutions	1988	Kamel Hamdache
+ PDF Chat	On long time asymptotics of the vlasov—poisson—boltzmann equation	1991	Laurent Desvillettes Jean Dolbeault
+	On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability	1989	Ronald J. DiPerna Pierre‐Louis Lions
+	Initial-Boundary value problems for the Boltzmann equation: Global existence of weak solutions	1992	Kamel Hamdache
+	Solutions globales de l'équation de Boltzmann	1988	R-J. Di Perna P-L. Lions