We report a novel mechanism for the transition from stochasticity to determinism in Ca oscillations via diffusive coupling of individual cells that are modelled by stochastic simulations of the governing reaction-diffusion equations. In particular, we show that by physiologically relevant conditions the collective dynamics of coupled cells is, unlike by isolated cells, deterministic for large e...

We study the propagation of noninteracting polariton wave packets. We show how two qualitatively different concepts of mass that arise from the peculiar polariton dispersion lead to a new type of particlelike object from noninteracting fields-much like self-accelerating beams-shaped by the Rabi coupling out of Gaussian initial states. A divergence and change of sign of the diffusive mass result...

We investigate the collective motion of a two-dimensional disordered ensemble of droplets in a microfluidic channel far from equilibrium and at Reynolds number approximately 10(-4). The ensemble carries ultraslow shock waves and sound, propagating at approximately 100 microm s(-1) and superposed on diffusive droplets motion. These modes are induced by long-range hydrodynamic dipolar interaction...

We study the quantum diffusive transport of multivalley massive Dirac cones, where time-reversal symmetry requires opposite spin orientations in inequivalent valleys. We show that the intervalley scattering and intravalley scattering can be distinguished from the quantum conductivity that corrects the semiclassical Drude conductivity, due to their distinct symmetries and localization trends. In...

We report that spin supercurrents can be induced in diffusive superconductor-ferromagnet-superconductor Josephson junctions without any magnetic misalignment or intrinsic spin-orbit coupling. Instead, the pathway to spin-triplet generation is provided via geometric curvature, and results a long-range effect. In addition, curvature shown induce dynamically tunable $0\text{\ensuremath{-}}\ensurem...

We study the effect that the heterogeneity present among the elements of an ensemble of coupled excitable neurons have on the collective response of the system to an external signal. We have considered two different interaction scenarios, one in which the neurons are diffusively coupled and another in which the neurons interact via pulse-like signals. We found that the type of interaction betwe...

We present the details of the recovery-based DG method for 2-D diffusion problems on unstructured grids. In the recovery approach the diffusive fluxes are based on a smooth, locally recovered solution that in the weak sense is indistinguishable from the discontinuous discrete solution. This eliminates the introduction of ad hoc penalty or coupling terms found in traditional DG methods. Crucial ...

The two-dimensional surface of an integer quantum hall multilayer is mapped onto a Heisenberg spin chain with ferromagnetic coupling. Using this mapping it is shown nonperturbatively that the surface states constitute a very anisotropic metal in the infinite size limit. For multilayers of finite size, two diffusive mesoscopic regimes are identified and the conductance fluctuations are calculate...

A shifted or misaligned feedback loop gives rise to a two-point nonlocality that is the spatial analog of a temporal delay. Important consequences of this nonlocal coupling have been found both in diffusive and in diffractive systems, and include convective instabilities, independent tuning of phase and group velocities, as well as amplification, chirping and even splitting of localized perturb...

Abstract: The paper concerns the existence of weak solutions to the Cahn-Hilliard-Gurtin system coupled with nonstationary elasticity. The system describes phase separation process in elastically stressed material. It generalizes the Cahn-Hilliard equation by admitting a more general structure and by coupling diffusive and elastic effects. The system is studied with the help of a singularly per...