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Presented here is a transcription of the lecture notes from Professor Allan N. Kaufman's graduate statistical mechanics course at Berkeley from the 1972-1973 academic year. Part 1 addresses equilibrium statistical mechanics with topics: fundamentals,
Externí odkaz:
http://arxiv.org/abs/2409.04899
Autor:
Brizard, Alain J.
The Hamiltonian formulation of guiding-center Vlasov-Maxwell equations, which contain dipole contributions to the guiding-center polarization and magnetization, is presented in terms of a guiding-center Hamiltonian functional that is derived from the
Externí odkaz:
http://arxiv.org/abs/2406.05932
Autor:
Gardegaront, Marc, Sas, Amelie, Brizard, Denis, Levillain, Aurelie, Bermond, Francois, Confavreux, Cyrille B., Pialat, Jean-Baptiste, van Lenthe, G. Harry, Follet, Helene, Mitton, David
Metastases increase the risk of fracture when affecting the femur. Consequently, clinicians need to know if the patients femur can withstand the stress of daily activities. The current tools used in clinics are not sufficiently precise. A new method,
Externí odkaz:
http://arxiv.org/abs/2402.09210
Autor:
Brizard, Alain J.
A recent paper by L.~Zheng [Phys. Plasmas, 30, 042515 (2023)] presented a critical analysis of standard Lie-transform perturbation theory and suggested that its application to the problem of charged-particle motion in a magnetic field suffered from o
Externí odkaz:
http://arxiv.org/abs/2308.11524
Autor:
Brizard, Alain J.
The extended guiding-center Lagrangian equations of motion are derived by Lie-transform method under the assumption of time-dependent and inhomogeneous electric and magnetic fields that satisfy the standard guiding-center orderings for space-time sca
Externí odkaz:
http://arxiv.org/abs/2308.04240
Autor:
Brizard, Alain J.
Extended guiding-center Vlasov-Maxwell equations are derived under the assumption of time-dependent and inhomogeneous electric and magnetic fields that obey the standard guiding-center space-time-scale orderings. The guiding-center Vlasov-Maxwell equ
Externí odkaz:
http://arxiv.org/abs/2306.04726
Autor:
Xin Tao Ye, MD, Soichiro Henmi, MD, PhD, Edward Buratto, MBBS, PhD, Mitchell C. Haverty, MS, Can Yerebakan, MD, Tyson Fricke, MBBS, PhD, Christian P. Brizard, MD, MS, Yves d’Udekem, MD, PhD, Igor E. Konstantinov, MD, PhD
Publikováno v:
JTCVS Open, Vol 19, Iss , Pp 241-256 (2024)
Objectives: The optimal treatment strategy for symptomatic young infants with tetralogy of Fallot (TOF) is unclear. We sought to compare the outcomes of staged repair (SR) (shunt palliation followed by second-stage complete repair) versus primary rep
Externí odkaz:
https://doaj.org/article/5a994cd672ce473f96c7fa301f84cd0e
Autor:
Brizard, Alain J.
The problem of the charged-particle motion in crossed electric and magnetic fields is investigated, and the validity of the guiding-center representation is assessed in comparison with the exact particle dynamics. While the magnetic field is consider
Externí odkaz:
http://arxiv.org/abs/2302.07119
Autor:
Brizard, Alain J., Hodgeman, Brook C.
The problem of the charged-particle motion in an axisymmetric magnetic geometry is used to assess the validity of higher-order Hamiltonian guiding-center theory, which includes higher-order corrections associated with gyrogauge invariance as well as
Externí odkaz:
http://arxiv.org/abs/2302.01166
Autor:
Brizard, Alain J., Chan, Anthony A.
Hamiltonian formulations of quasilinear theory are presented for the cases of uniform and nonuniform magnetized plasmas. First, the standard quasilinear theory of Kennel and Engelmann (1966) is reviewed and reinterpreted in terms of a general Hamilto
Externí odkaz:
http://arxiv.org/abs/2208.09477