Page 3: Research news on 3-dimensional systems

In the context of physical systems, 3-dimensional systems are systems whose relevant degrees of freedom are embedded in or constrained by three spatial dimensions, typically described by coordinates (x, y, z) in Euclidean space. Their behavior is governed by field equations or dynamical laws defined over a 3D manifold, such as Maxwell’s equations, Navier–Stokes equations, or Schrödinger’s equation in three spatial dimensions. These systems exhibit phenomena inherently dependent on 3D geometry and topology, including volumetric interactions, three-component vector fields, and spatially resolved boundary conditions, and they often require tensorial or vector calculus formalisms for accurate modeling and analysis.

AI model accelerates defect-based material design

Across the physical world, many intricate structures form via symmetry breaking. When a system with inherent symmetry transitions into an ordered state, it can form stable imperfections known as topological defects. Such ...

Physicists create resilient 3D solitons in the lab

For the first time, physicists in Italy have created a 'lump soliton': an extremely stable packet of light waves which can travel through 3D space, and even interact with other solitons without losing its shape.

Team shatters 3D nanofabrication limits with meta-optics

Lawrence Livermore National Laboratory (LLNL) engineers and scientists, in collaboration with Stanford University, have demonstrated a breakthrough 3D nanofabrication approach that transforms two-photon lithography (TPL) ...

page 3 from 12