Results 31 to 40 of about 683 (232)
Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
wiley +1 more source
Geometric selection rules for singularity formation in modified gravity
We argue that the polynomial degeneracies of curvature invariants can act as geometric selection rules for spacetime singularities in modified theories of gravity.
Soumya Chakrabarti
doaj +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
An Analytically Derived Gauss–Legendre Quadrature for Axis-Aligned Ellipse–Ellipse Intersection
Accurate and efficient evaluation of the intersection area between two axis-aligned ellipses is essential in applications where the coordinate system or underlying geometry naturally imposes alignment.
Mohamad Shatnawi, Péter Földesi
doaj +1 more source
Applications of Singularity Theory in Applied Algebraic Geometry and Algebraic Statistics
We survey recent applications of topology and singularity theory in the study of the algebraic complexity of concrete optimization problems in applied algebraic geometry and algebraic statistics.
Maxim, Laurentiu +2 more
openaire +2 more sources
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
ABSTRACT Driven by the energy crisis and carbon neutrality goals, high‐efficiency heat exchange equipment has become a core demand in the industrial sector. The spiral grooved double‐pipe heat exchanger exhibits significant heat transfer enhancement advantages, yet it requires balancing heat transfer efficiency and pressure loss.
Yueyun Yang, Wei Li, Xiuzhi Xi, Neng Gao
wiley +1 more source
Worldline approach for spinor fields in manifolds with boundaries
The worldline formalism is a useful scheme in Quantum Field Theory which has also become a powerful tool for numerical computations. It is based on the first quantisation of a point-particle whose transition amplitudes correspond to the heat-kernel of ...
Lucas Manzo
doaj +1 more source

