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The Relativistic Boltzmann Equation and Two Times [PDF]
Entropy, 2020 We discuss a covariant relativistic Boltzmann equation which describes the evolution of a system of particles in spacetime evolving with a universal invariant parameter τ . The observed time t of Einstein and Maxwell, in the presence of interaction,
L. P. Horwitz
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Probability Turns Material: The Boltzmann Equation [PDF]
EntropyWe review, under a modern light, the conditions that render the Boltzmann equation applicable. These are conditions that permit probability to behave like mass, thereby possessing clear and concrete content, whereas generally, this is not the case ...
Lamberto Rondoni, Vincenzo Di Florio
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Global solvability of a nonlinear Boltzmann equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, based on the splitting method scheme, the existence and uniqueness theorem on the whole time interval t ∈ [0 ,T ) ,T ≤∞ for the full nonlinear Boltzmann equation in the nonequilibrium case is proved where the intermolecular interactions ...
A.Sh. Akysh (Akishev)
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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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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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Entropy, 2023 How to improve the computational efficiency of flow field simulations around irregular objects in near-continuum and continuum flow regimes has always been a challenge in the aerospace re-entry process.
Linchang Han +5 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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On the Quantum Boltzmann Equation [PDF]
Journal of Statistical Physics, 2004 15 ...
Erdos, Laszlo +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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Lattice Boltzmann Method for the Generalized Black-Scholes Equation
Advances in Mathematical Physics, 2023 In this paper, an efficient lattice Boltzmann model for the generalized Black-Scholes equation governing option pricing is proposed. The Black-Scholes equation is firstly equivalently transformed into an initial value problem for a partial differential ...
Fangfang Wu +3 more
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