Results 1 to 10 of about 711 (119)
On Derivation of the Poisson–Boltzmann Equation [PDF]
Journal of Statistical Physics, 2020 Starting from the microscopic reduced Hartree-Fock equation, we derive the nanoscopic linearized Poisson-Boltzmann equation for the electrostatic potential associated with the electron density.
Ilias, Chenn, Sigal, Israel Michael
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On the Quantum Boltzmann Equation [PDF]
Journal of Statistical Physics, 2004 15 ...
Erdos, Laszlo +2 more
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The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation [PDF]
SIAM Journal on Applied Mathematics, 2015 We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented exactly by a non-classical transport equation. As a consequence, we indicate a method to solve diffusion-based approximations to the Boltzmann equation via Monte Carlo, with
Martin Frank +3 more
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Flavour mixing transport theory and resonant leptogenesis
Journal of High Energy Physics, 2021 We derive non-equilibrium quantum transport equations for flavour-mixing fermions. We develop the formalism mostly in the context of resonant leptogenesis with two mixing Majorana fermions and one lepton flavour, but our master equations are valid more ...
Henri Jukkala +2 more
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The halo Boltzmann equation [PDF]
Journal of Cosmology and Astroparticle Physics, 2016 23 pages, 3 figures, comments are welcome, v2 matches published version in ...
Biagetti Matteo +4 more
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Particle production from oscillating scalar field and consistency of Boltzmann equation
Journal of High Energy Physics, 2021 Boltzmann equation plays important roles in particle cosmology in studying the evolution of distribution functions (also called as occupation numbers) of various particles.
Takeo Moroi, Wen Yin
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An Explicit Formulation of Singularity-Free Dynamic Equations of Mechanical Systems in Lagrangian Form---Part Two: Multibody Systems [PDF]
Modeling, Identification and Control, 2012 This paper presents the explicit dynamic equations of multibody mechanical systems. This is the second paper on this topic. In the first paper the dynamics of a single rigid body from the Boltzmann--Hamel equations were derived.
Pål Johan From
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Solving the Boltzmann equation on GPUs [PDF]
Computer Physics Communications, 2011 18 pages, 3 pseudo-codes, 6 figures, 1 ...
Aldo Frezzotti +2 more
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On the computation of viscous fluid flows by the lattice Boltzmann method [PDF]
Компьютерные исследования и моделирование, 2013 Modification of the lattice Boltzmann method for computation of viscous Newtonian fluid flows is considered. Modified method is based on the splitting of differential operator in Navier-Stokes equation and on the idea of instantaneous Maxwellisation of ...
Gerasim Vladimirovich Krivovichev
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Solving Stochastic Nonlinear Poisson-Boltzmann Equations Using a Collocation Method Based on RBFs
Mathematics, 2023 In this paper, we present a numerical scheme based on a collocation method to solve stochastic non-linear Poisson–Boltzmann equations (PBE). This equation is a generalized version of the non-linear Poisson–Boltzmann equations arising from a form of ...
Samaneh Mokhtari +4 more
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