Droplet shrinkage in phase-field approaches: A comparison of the Allen-Cahn and the Cahn-Hilliard models [0.03%]
相场法中的液滴收缩：Allen-Cahn模型与Cahn-Hilliard模型的比较
Reza Haghani,Carl Fredrik Berg,Eirik Grude Flekkøy
Reza Haghani
Diffuse interface methods for multiphase flow simulations often exhibit nonphysical droplet or bubble shrinkage, particularly when based on the Cahn-Hilliard equation. This well-known artifact introduces a critical radius below which drople...
Soham Dutta,Arnab Saha
Soham Dutta
Optical tweezers can confine position as well as orientation of a Brownian particle by simultaneously exerting restoring force and torque on it. Here we propose the theoretical model of a microscopic Stirling engine, using a Brownian ellips...
Measuring the principle Hugoniot of low-density silica aerogel foam at pressures up to 160 GPa [0.03%]
低密度二氧化硅气凝胶泡沫的状态方程及高压Hugoniot研究（到160 GPa）
Jordan Lee,Peter Norreys,Robert Paddock et al.
Jordan Lee et al.
Low-density foams are of significant interest in inertial confinement fusion (ICF), with potential applications as fuel carriers, ablation layers, or as a hohlraum filling material. Despite their potential, the shock response of these mater...
Ekaterina Landgren,Ryan E Langendorf,Matthew G Burgess
Ekaterina Landgren
In business, politics, and life, folk wisdom encourages people to aim for above-average results, but not to let the perfect be the enemy of the good. Here, we mathematically formalize and extend this folk wisdom. We model a time-limited sea...
Nonlinearity-induced transition in heat conduction through a topological metamaterial of rotors [0.03%]
非线性引起的拓扑元材料中的导热性转变
T R Vishnu,Dibyendu Roy
T R Vishnu
We investigate heat conduction in a one-dimensional chain of rigid rotors. The rotors are constrained to rotate in a plane about fixed pivot points and coupled by springs, such that in equilibrium, the neighboring rotors lie on opposite sid...
Alejandro Mesa Dame,Eric S Lavine,David A Hammer
Alejandro Mesa Dame
We present an analytical 1D axisymmetric model describing the evolution of the dynamic Z pinch. This model is capable of predicting the trajectories of the imploding sheath's magnetic piston and preceding shock front, along with the velocit...
Mengxin Wu,Ziye Chen,Guang Yang et al.
Mengxin Wu et al.
Extended Self-Similarity (ESS) is a widely used tool for uncovering universal power-law scaling in systems dominated by nonlinear interactions. This work demonstrates that ESS scaling can also emerge in a system governed by purely linear ph...
Richard Huang,David R Nelson,Suraj Shankar
Richard Huang
The Euler buckling of rods is a long-studied mechanical instability, and it remains relevant to this day, as the constituent components in many biological and physical systems are linear polymers, such as microtubules or carbon nanotubes. A...
Shubham Shinde,Archishman Raju
Shubham Shinde
Turing patterns are a well-studied model of reaction-diffusion equations for developmental patterning. Their applicability has often been limited by the difficulty in identifying candidate molecules that satisfy the requisite criteria for p...
H Susanto,N Karjanto
H Susanto
We study the ϕ^{6} model and derive two broad classes of lattice discretizations that admit static, translationally invariant kinks; that is, stationary kink profiles that can be centered at an arbitrary position relative to the lattice. T...