Tootfinder

The Six Degrees Podcast
Great Australian Pods Podcast Directory: #GreatAusPods

Vortex topology in the lee of a 6:1 prolate spheroid
Marc Plasseraud, Krishnan Mahesh
https://arxiv.org/abs/2507.03187 https://arxiv.…

Vortex topology in the lee of a 6:1 prolate spheroid
A large scale parametric study of the flow over the prolate spheroid is presented to understand the effect of Reynolds number and angle of attack on the separation, the wake formation and the loads. Large-Eddy Simulation is performed for six Reynolds numbers ranging from Re = 0.15M to Re = 4M and for eight angles of attack ranging from 10 degrees to 90 degrees. For all the cases considered, the boundary layer separates symmetrically and forms a recirculation region. Several distinct flow topolo…

Inverse Microparticle Design for Enhanced Optical Trapping and Detection Efficiency in All Six Degrees of Freedom
Moosung Lee, Benjamin A. Stickler, Thomas Pertsch, Sungkun Hong
https://arxiv.org/abs/2506.01837

Inverse Microparticle Design for Enhanced Optical Trapping and Detection Efficiency in All Six Degrees of Freedom
Achieving quantum-limited motional control of optically trapped particles beyond the sub-micrometer scale is an outstanding problem in levitated optomechanics. A key obstacle is solving the light scattering problem and identifying particle geometries that allow stable trapping and efficient motional detection of their center of mass and rotational motion in three dimensions. Here, we present a computational framework that combines an efficient electromagnetic scattering solver with the adjoint …

Regular $K_3$-irregular graphs
Artem Hak, Sergiy Kozerenko, Andrii Serdiuk
https://arxiv.org/abs/2507.18776 https://arxiv.org/pdf/2507.18776

Regular $K_3$-irregular graphs
We address the problem proposed by Chartrand, Erdős and Oellermann (1988) about the existence of regular $K_3$-irregular graphs. We first establish bounds on the $K_3$-degrees of such graphs and use them to prove that there are no such graphs with regularities at most $7$. For the regularity $8$, we narrow down the bounds on the order of such graphs to six possible values. We then present an explicit example of a $9$-regular $K_3$-irregular graph. Finally, we discuss an evolutionary algorithm …

Center vortices in the novel phase of staggered fermions
Jackson A. Mickley, Derek B. Leinweber, Daniel Nogradi
https://arxiv.org/abs/2506.05807 https://…

Center vortices in the novel phase of staggered fermions
The geometry of center vortices is studied in the novel lattice-artefact phase that appears with staggered fermions to elucidate any insight provided by the center-vortex degrees of freedom. For various numbers of fermion flavors, the single-site shift symmetry of the staggered-fermion action is broken in a finite region of the $(β, m)$ phase space. Simulations are performed with six degenerate fermion flavors and a range of $β$ values that span the phase boundary. Center vortices are demonst…