Results 81 to 90 of about 746,739 (376)
Structure Preserving Model Reduction of Parametric Hamiltonian Systems [PDF]
While reduced-order models (ROMs) have been popular for efficiently solving large systems of differential equations, the stability of reduced models over long-time integration presents challenges.
B. M. Afkham, J. Hesthaven
semanticscholar +1 more source
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley +1 more source
Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems
An analysis of extension of Hamiltonian operators from lower order to higher order of matrix paves a way for constructing Hamiltonian pairs which may result in hereditary operators.
Dodd+20 more
core +1 more source
The utilization of direct energy deposition (DED)‐arc additive manufacturing processes in industrial applications is increasing, and these processes have the potential for multi‐material applications. This work provides a overview of the state of research in DED‐arc made functional graded structures, to establish a link to potential industrial ...
Kai Treutler, Volker Wesling
wiley +1 more source
Hamiltonian for the Zeros of the Riemann Zeta Function. [PDF]
A Hamiltonian operator H[over ^] is constructed with the property that if the eigenfunctions obey a suitable boundary condition, then the associated eigenvalues correspond to the nontrivial zeros of the Riemann zeta function.
C. Bender, D. Brody, Markus P. Müller
semanticscholar +1 more source
In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
wiley +1 more source
On degree-sequence characterization and the extremal number of edges for various Hamiltonian properties under fault tolerance [PDF]
Assume that $n, \delta ,k$ are integers with $0 \leq k < \delta < n$. Given a graph $G=(V,E)$ with $|V|=n$. The symbol $G-F, F \subseteq V$, denotes the graph with $V(G-F)=V-F$, and $E(G-F)$ obtained by $E$ after deleting the edges with at least one ...
Shih-Yan Chen, Shin-Shin Kao, Hsun Su
doaj +1 more source
Integrable Systems and Metrics of Constant Curvature
In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differential-geometric Poisson bracket of the first order associated with metrics of constant curvature.
Dubrovin B.A.+8 more
core +1 more source
Electronic Structure Calculations and the Ising Hamiltonian. [PDF]
Obtaining exact solutions to the Schrödinger equation for atoms, molecules, and extended systems continues to be a "Holy Grail" problem which the fields of theoretical chemistry and physics have been striving to solve since inception.
Rongxin Xia, Teng Bian, S. Kais
semanticscholar +1 more source
EuSc₂Te₄, an antiferromagnetic semiconductor, exhibits a nonlinear Hall effect (NLHE) characterized by quadratic current–voltage behavior. Combined experimental and theoretical studies reveal that this NLHE is linked to its antiferromagnetism and involves contributions from the quantum metric.
Seng Huat Lee+15 more
wiley +1 more source