Results 1 to 10 of about 23,211 (263)
Variable-moment fluid closures with Hamiltonian structure [PDF]
Scientific Reports, 2023 Based on ideas due to Scovel–Weinstein, I present a general framework for constructing fluid moment closures of the Vlasov–Poisson system that exactly preserve that system’s Hamiltonian structure. Notably, the technique applies in any space dimension and
J. W. Burby
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Hamiltonian structure of compartmental epidemiological models. [PDF]
Physica D, 2020 Any epidemiological compartmental model with constant population is shown to be a Hamiltonian dynamical system in which the total population plays the role of the Hamiltonian function. Moreover, some particular cases within this large class of models are shown to be bi-Hamiltonian. New interacting compartmental models among different populations, which
Ballesteros A +2 more
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Hamiltonian Structure of PI Hierarchy [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting isomonodromic deformations, and
Kanehisa Takasaki
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SPINI: a structure-preserving neural integrator for hamiltonian dynamics and parametric perturbation [PDF]
Scientific ReportsStandard numerical solvers struggle with the long-term simulation of nonlinear Hamiltonian systems, often failing to preserve geometric structure and introducing unphysical errors.
Chengtian Liang +4 more
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Hamiltonian structure of Hamiltonian chaos [PDF]
Physics Letters A, 1997 From a kinematical point of view, the geometrical information of hamiltonian chaos is given by the (un)stable directions, while the dynamical information is given by the Lyapunov exponents. The finite time Lyapunov exponents are of particular importance in physics.
Tang, X. Z., Boozer, A. H.
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Assessment of various Hamiltonian partitionings for the electronic structure problem on a quantum computer using the Trotter approximation [PDF]
Quantum, 2023 Solving the electronic structure problem via unitary evolution of the electronic Hamiltonian is one of the promising applications of digital quantum computers.
Luis A. Martínez-Martínez +2 more
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A rigorous derivation of the Hamiltonian structure for the Vlasov equation
Forum of Mathematics, Sigma, 2023 We consider the Vlasov equation in any spatial dimension, which has long been known [ZI76, Mor80, Gib81, MW82] to be an infinite-dimensional Hamiltonian system whose bracket structure is of Lie–Poisson type.
Joseph K. Miller +4 more
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Intractability of Electronic Structure in a Fixed Basis
PRX Quantum, 2022 Finding the ground-state energy of electrons subject to an external electric field is a fundamental problem in computational chemistry. While the theory of QMA-completeness has been instrumental in understanding the complexity of finding ground states in
Bryan O’Gorman +3 more
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Hamiltonian Modeling and Structure Modified Control of Diesel Engine
Energies, 2021 A diesel engine is a typical dynamic system. In this paper, a dynamics method is proposed to establish the Hamiltonian model of the diesel engine, which solves the main difficulty of constructing a Hamiltonian function under the multi-field coupling ...
Jing Qian +3 more
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STABILITY OF ANOSOV HAMILTONIAN STRUCTURES [PDF]
Journal of Topology and Analysis, 2010 Let (Mn, g) denote a closed Riemannian manifold (n ≥ 3) which admits a metric of negative curvature (not necessarily equal to g). Let ω1 := ω0 + π*σ denote a twisted symplectic form on TM, where σ ∈ Ω2(M) is a closed 2-form and ω0 is the symplectic structure on TM obtained by pulling back the canonical symplectic form dx ∧ dp on T*M via the Riemannian
Merry, Will J., Paternain, Gabriel P.
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