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Pole-Based Approximation of the Fermi-Dirac Function
Contour integral Fermi-Dirac function Rational approximation
2015/7/14
Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping, and the other is based on a versi...
On the viscosity to entropy density ratio for unitary Bose and Fermi Gases
entropy density unitary Bose Fermi Gases
2011/3/4
We calculate the ratio of the viscosity to the entropy density for both Bose and Fermi gases in the unitary limit using a new approach to the quantum statistical mechanics of gases based on the S-matr...
In-flight dissipation as a mechanism to suppress Fermi acceleration
In-flight dissipation mechanism suppress Fermi acceleration
2010/11/10
Some dynamical properties of time-dependent driven elliptical-shaped billiard are studied. It was shown that for the conservative time-dependent dynamics the model exhibits the Fermi acceleration [Ph...
Finite dimensional global and exponential attractors for a coupled time-dependent Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover
Finite dimensional global exponential attractors
2010/11/9
We study a coupled nonlinear evolution system arising from the Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover. First, we prove that the initial boundary value problem genera...
Thermostatistics in the neighborhood of the $\pi$-mode solution for the Fermi-Pasta-Ulam $\beta$ system: from weak to strong chaos
Thermostatistics Fermi-Pasta-Ulam $\beta$ system $\pi$-mode solution
2010/4/6
We consider a $\pi$-mode solution of the Fermi-Pasta-Ulam $\beta$ system. By perturbing it, we study the system as a function of the energy density from a regime where the solution is stable to a regi...
引言 对于在高能激光或粒子束照射目标靶,以及磁场约束中产生的高密度等离子体的数值模拟研究中,输运系数常采用Spitzer和Braginskii的公式.我们知道Spitzer和Braginskii的公式适合于完全电离的非简并等离子体,即低密度、高温等离子体.对于高密度或低温简并等离子体,常给出不正确的结果,有时相差1沪的数量级.
We prove a perturbative inversion theorem for the map between the interacting and the noninteracting Fermi surface for a class of many fermion systems with strictly convex Fermi surfaces and short-ran...