scholarly journals A Novel Energy-conserving Scheme for Eight-dimensional Hamiltonian Problems

2019 ◽  
Vol 887 (2) ◽  
pp. 191 ◽  
Author(s):  
Shiyang Hu ◽  
Xin Wu ◽  
Guoqing Huang ◽  
Enwei Liang
Keyword(s):  
Hamiltonian Problems ◽  
Energy Conserving

scholarly journals Construction of a Second-order Six-dimensional Hamiltonian-conserving Scheme

2021 ◽  
Vol 257 (2) ◽  
pp. 40
Author(s):  
Shiyang Hu ◽  
Xin Wu ◽  
Enwei Liang
Keyword(s):  
Black Hole ◽  
Numerical Solutions ◽  
Elliptical Galaxy ◽  
Second Order ◽  
Physical Models ◽  
New Method ◽  
Hamiltonian Problems ◽  
Black Hole Background ◽  
Galactic Model ◽  
Energy Conserving

Abstract Research has analytically shown that the energy-conserving implicit nonsymplectic scheme of Bacchini, Ripperda, Chen, and Sironi provides a first-order accuracy to numerical solutions of a six-dimensional conservative Hamiltonian system. Because of this, a new second-order energy-conserving implicit scheme is proposed. Numerical simulations of a galactic model hosting a BL Lacertae object and magnetized rotating black hole background support these analytical results. The new method with appropriate time steps is used to explore the effects of varying the parameters on the presence of chaos in the two physical models. Chaos easily occurs in the galactic model as the mass of the nucleus, the internal perturbation parameter, and the anisotropy of the potential of the elliptical galaxy increase. The dynamics of charged particles around the magnetized Kerr spacetime is easily chaotic for larger energies of the particles, smaller initial angular momenta of the particles, and stronger magnetic fields. The chaotic properties are not necessarily weakened when the black-hole spin increases. The new method can be used for any six-dimensional Hamiltonian problems, including globally hyperbolic spacetimes with readily available (3 + 1) split coordinates.

Redox Reactions in Lipid Membranes as a Model for Primordial Energy-Conserving Systems

1997 ◽  
Vol 161 ◽  
pp. 437-442
Author(s):  
Salvatore Di Bernardo ◽  
Romana Fato ◽  
Giorgio Lenaz
Keyword(s):  
Experimental Evidence ◽  
Lipid Membranes ◽  
Energy Supply ◽  
Redox Reactions ◽  
Living Systems ◽  
Asymmetric Distribution ◽  
Conservation Of Energy ◽  
Asymmetrical Distribution ◽  
Energy Conserving ◽  
Living Organisms

AbstractOne of the peculiar aspects of living systems is the production and conservation of energy. This aspect is provided by specialized organelles, such as the mitochondria and chloroplasts, in developed living organisms. In primordial systems lacking specialized enzymatic complexes the energy supply was probably bound to the generation and maintenance of an asymmetric distribution of charged molecules in compartmentalized systems. On the basis of experimental evidence, we suggest that lipophilic quinones were involved in the generation of this asymmetrical distribution of charges through vectorial redox reactions across lipid membranes.

scholarly journals Conservative Galerkin methods for dispersive Hamiltonian problems

CALCOLO ◽  
2021 ◽  
Vol 58 (3) ◽  
Author(s):  
James Jackaman ◽  
Tristan Pryer
Keyword(s):  
Galerkin Methods ◽  
Hamiltonian Problems

scholarly journals Kinetic energy-conserving hyperdiffusion can improve low resolution atmospheric models

2015 ◽  
Vol 7 (3) ◽  
pp. 1117-1135 ◽  
Author(s):  
Pablo Zurita-Gotor ◽  
Isaac M. Held ◽  
Malte F. Jansen
Keyword(s):  
Kinetic Energy ◽  
Atmospheric Models ◽  
Low Resolution ◽  
Energy Conserving

scholarly journals A Mass- and Energy-Conserving Numerical Model for a Fractional Gross–Pitaevskii System in Multiple Dimensions

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1765
Author(s):  
Adán J. Serna-Reyes ◽  
Jorge E. Macías-Díaz
Keyword(s):  
Initial Conditions ◽  
Type System ◽  
Continuous System ◽  
Mass Conservation ◽  
Continuous Model ◽  
Manuscript Studies ◽  
Multiple Dimensions ◽  
Negative Constant ◽  
Energy Conserving ◽  
Finite Difference Discretization

This manuscript studies a double fractional extended p-dimensional coupled Gross–Pitaevskii-type system. This system consists of two parabolic partial differential equations with equal interaction constants, coupling terms, and spatial derivatives of the Riesz type. Associated with the mathematical model, there are energy and non-negative mass functions which are conserved throughout time. Motivated by this fact, we propose a finite-difference discretization of the double fractional Gross–Pitaevskii system which inherits the energy and mass conservation properties. As the continuous model, the mass is a non-negative constant and the solutions are bounded under suitable numerical parameter assumptions. We prove rigorously the existence of solutions for any set of initial conditions. As in the continuous system, the discretization has a discrete Hamiltonian associated. The method is implicit, multi-consistent, stable and quadratically convergent. Finally, we implemented the scheme computationally to confirm the validity of the mass and energy conservation properties, obtaining satisfactory results.

scholarly journals Energy-conserving schemes for wind farm aerodynamics

2014 ◽  
Vol 524 ◽  
pp. 012157 ◽  
Author(s):  
Dhruv Mehta ◽  
Alexander van Zuijlen ◽  
Hester Bijl
Keyword(s):  
Wind Farm ◽  
Energy Conserving
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