We propose a modified voter model with locally conserved magnetization and investigate its phase ordering dynamics in two dimensions in numerical simulations. Imposing a local constraint on the dynamics has the surprising effect of speeding up the phase ordering process. The system is shown to exhibit a scaling regime characterized by algebraic domain growth, at odds with the logarithmic coarse...

We perform lattice Monte Carlo simulations to study the self-assembly of functionalized inorganic nanoscale building blocks using recognitive biomolecule linkers. We develop a minimal coarse-grained lattice model for the nanoscale building block (NBB) and the recognitive linkers. Using this model, we explore the influence of the size ratio of linker length to NBB diameter on the assembly proces...

An experimental study focuses on the airborne sound generated during bubble bursting at surface of a liquid bath. It is found that acoustic frequency drifts and increases, consistent with Helmholtz-type resonance cavity being more opened as thin film in air retracts. As an extension, simple model based collection drifting Helmholtz resonators proposed, capturing main features fizzing effervesci...

Helmholtz resonator is a shell Ωshell separating a compact domainthe cavity Ωint ⊂ R3 from the non-compact domain Ωout = R3\[Ωint∪Ωshell]. It is assumed that a small opening in the shell connects Ωint with Ωout, causing transformation of real eigen-frequencies of the Neumann Laplacian on Ωint into complex scattering frequencies of the corresponding stationary acoustic problem −∆u = λu, in Ω = Ω...

The Schrödinger equation defines the dynamics of quantum particles which has been an area of unabated interest in physics. We demonstrate how simple transformations of the Schrödinger equation leads to a coupled linear system, whereby each diagonal block is a high frequency Helmholtz problem. Based on this model, we derive indefinite Helmholtz model problems with strongly varying wavenumbers. W...