Zobrazeno 1 - 10
of 7 494
pro vyhledávání: '"Morrison, A J"'
A thermodynamically consistent discretization of the one-dimensional Navier-Stokes-Fourier model is derived by exploiting the model's Hamiltonian and metriplectic 4-bracket structure.
Externí odkaz:
http://arxiv.org/abs/2410.11045
We present a one-dimensional (1-D) model composed of aligned, electrostatically interacting charged disks, conceived in order to address in a computable model the validity of the Bogoliubov assumption on the decay of particle correlations in the Born
Externí odkaz:
http://arxiv.org/abs/2410.04926
Autor:
Furukawa, M., Morrison, P. J.
Theory of simulated annealing (SA), a method for equilibrium and stability analyses for Hamiltonian systems, is reviewed. The SA explained in this review is based on a double bracket formulation that derives from Hamiltonian structure. In addition to
Externí odkaz:
http://arxiv.org/abs/2409.17438
A simple Hamiltonian modeling framework for general models in nonlinear optics is given. This framework is specialized to describe the Hamiltonian structure of electromagnetic phenomena in cubicly nonlinear optical media. The model has a simple Poiss
Externí odkaz:
http://arxiv.org/abs/2409.04891
Autor:
Barham, William, Morrison, Philip J.
A broad class of nonlinear acoustic wave models possess a Hamiltonian structure in their dissipation-free limit and a gradient flow structure for their dissipative dynamics. This structure may be exploited to design numerical methods which preserve t
Externí odkaz:
http://arxiv.org/abs/2407.14718
For several decades now it has been known that systems with shearless invariant tori, nontwist Hamiltonian systems, possess barriers to chaotic transport. These barriers are resilient to breakage under perturbation and therefore regions where they oc
Externí odkaz:
http://arxiv.org/abs/2406.19947
Autor:
Barham, William, Morrison, Philip J.
The inclusion of spatial smoothing in finite-dimensional particle-based Hamiltonian reductions of the Vlasov equation are considered. In the context of the Vlasov-Poisson equation (and other mean-field Lie-Poisson systems), smoothing amounts to a con
Externí odkaz:
http://arxiv.org/abs/2405.02491
Autor:
Morrison, Philip J.
Some ideas relating to a bracket formulation for dissipative systems are considered. The formulation involves a bracket that is analogous to a generalized Poisson bracket, but possesses a symmetric component. Such a bracket is presented for the Navie
Externí odkaz:
http://arxiv.org/abs/2403.14698
Cahn-Hilliard-Navier-Stokes (CHNS) systems describes flows with two-phases, e.g., a liquid with bubbles. Obtaining constitutive relations for general dissipative processes for such a systems, which are thermodynamically consistent, can be a challenge
Externí odkaz:
http://arxiv.org/abs/2402.11116
Autor:
Sato, Naoki, Morrison, Philip J.
Publikováno v:
Fundamental Plasma Physics 10, 100054 (2024)
The phase space of a noncanonical Hamiltonian system is partially inaccessible due to dynamical constraints (Casimir invariants) arising from the kernel of the Poisson tensor. When an ensemble of noncanonical Hamiltonian systems is allowed to interac
Externí odkaz:
http://arxiv.org/abs/2401.15086