We investigate three-dimensional quantum turbulence as described by the Gross-Pitaevskii model using analytical method exploited in Onsager "ideal turbulence" theory. derive scale-independence of scale-to-scale kinetic energy flux and establish a double-cascade scenario: at scales much larger than mean intervortex $\ell_i$, Richardson cascade becomes dominant, whereas smaller another type is in...

We develop a numerical approximation for a hydrodynamic phase field model of three immiscible, incompressible viscous fluid phases. The model is derived from a generalized Onsager principle following an energetic variational formulation and is consisted of the momentum transport equation and coupled phase transport equations. It conserves the volume of each phase and warrants the total energy d...

One of the main components of lung alveoli is surfactant. DPPC (Dipalmitolphosphatidylcholine) is thepredominant lipid component in lung surfactant that is responsible for lowering surface tension in alveoli in thisarticle. We used a very approximate model with computational method of Ab initio to describe the interactionsbetween DPPC as important component of lung surfactant and some chemical ...

Using small-angle neutron scattering (SANS), we have investigated the orientational order of iron nanoparticles dispersed in cyclohexanone. The particles have rodlike shape and size distributions with an average length of 200 nm and an average diameter of 25 nm. SANS shows an anisotropy, which is a measure of orientational order, in magnetic dispersions with a volume fraction of 3.2% and 3.9% i...

Lars Onsager, a giant of twentieth-century science and the 1968 Nobel Laureate in Chemistry, made deep contributions to several areas of physics and chemistry. Perhaps less well known is his ground-breaking work and lifelong interest in the subject of hydrodynamic turbulence. He wrote two papers on the subject in the 1940s, one of them just a short abstract. Unbeknownst to Onsager, one of his m...

We report on the optical properties of the nematic (N) phase formed by lyotropic chromonic liquid crystals (LCLCs) in well aligned planar samples. LCLCs belong to a broad class of materials formed by one-dimensional molecular self-assembly and are similar to other systems such as "living polymers" and "wormlike micelles." We study three water soluble LCLC forming materials: disodium chromoglyca...

Informational dependence between statistical or quantum subsystems can be described with Fisher information matrix or Fubini-Study metric obtained from variations of the sample/configuration space coordinates. Using these (non-covariant) objects as macroscopic constraints we consider statistical ensembles over the space of classical probability distributions (i.e. in statistical space) or quant...