A weak-noise scheme is applied to the Kardar-Parisi-Zhang equation for a growing interface in all dimensions. It is shown that the solutions can be interpreted in terms of a growth morphology of a dynamically evolving texture of localized growth modes with superimposed diffusive modes. By applying Derrick's theorem, it is conjectured that the upper critical dimension is four.

We investigate the stability of incompressible, exact, non-ideal magnetorotational (MRI) modes against parasitic instabilities for a broad range of dissipation coefficients, relevant to astrophysical and laboratory environments. This allows us to uncover the asymptotic behavior of the fastest parasites in terms of the Elsasser number, Λη, when viscous effects are not important. We calculate the...

Mullins-Sekerka's instability at 3D self-similar growth of a spherical seed crystal in an undercooled fluid is discussed. The exact solution of the linearized stability problem is obtained. It is quite different from the conventional results of the quasisteady approximation. The instability occurs much weaker, so that instead of exponential growth in time, unstable modes exhibit just power-law-...

The generalized Charney-Hasegawa-Mima equation is unstable to a four wave modulational instability whereby a coherent, monochromatic drift wave can drive a band of modes and associated zonal flows unstable. Although initially the fastest growing modes dominate, a secondary nonlinear instability later drives the longest wavelength zonal flow and its associated sidebands at twice the growth rate ...

– We present an investigation of the electromagnetic instabilities which are triggered when an ultra relativistic electron beam passes through a plasma. The linear growth rate is computed for every direction of propagation of the unstable modes, and temperatures are modelled using simple waterbag distribution functions. The ultra relativistic unstable spectrum is located around a very narrow ba...

Filamentous fungi cause opportunistic infections in hospital patients. A fast assay to detect viable spores is of great interest. We present a device that is capable of monitoring fungi growth in real time via the dynamic operation of cantilevers in an array. The ability to detect minute frequency shifts for higher order flexural resonance modes is demonstrated using hydrogel functionalised can...

The term ‘epitaxial’ is applied to a film grown on top of the crystalline substrate in ordered fashion that atomic arrangement of the film accepts crystallographic structure of the substrate. Epitaxial growth is one of the most important techniques to fabricate various ‘state of the art’ electronic and optical devices. Modern devices require very sophisticated structure, which are composed of t...

We present experimental results for early transients near the onset of convection of an ethanol-water mixture in cylindrical containers heated from below. The separation ratio of the mixture was c'20.08, and the aspect ratios G[r/d (r is the radius and d the height of the sample cell! of two different containers were 10.91 and 11.53. For this system the onset of convection occurs via a subcriti...