We review some recent results concerning the hydrodynamical limits of lattice gases, in particular, lattice gases on the cubic lattice Z Z d ; d = 3, with the incompressible Navier-Stokes equations as the hydrodynamical limit. We shall state precisely the law of large numbers theorem stating that for initial distributions corresponding to arbitrary macroscopic L 2 initial data the distributions...

The behavioral responses of zebrafish (Danio rerio) to sublethal concentrations of sodium hypochlorite (NaClO)-based household bleach were quantified in order to index toxicity of the solution. The swimming behavior of zebrafish was captured using nonplanar 3D stereocameras in combination with 3D coordinate computation with perspective correction (3DCCPC) to compute for actual 3D coordinates. S...

The price time series of the Italian government bonds (BTP) futures is studied by means of scaling concepts originally developed for random walks in statistical physics. The series of overnight price di erences is mapped onto a one-dimensional random walk: the bond walk. The analysis of the root mean square uctuation function and of the auto-correlation function indicates the absence of both sh...

Equilibrium and disequilibium 1 Equilibrium ... . . . . . . . . . . . . . . . . . . . 2 1.1 The canonical ensemble . . . . . . . . . . . . 2 1.2 Microscopic reversibility . . . . . . . . . . . 2 2 ...and disequilibrium. . . . . . . . . . . . . . . . 4 2.1 Experimental protocols . . . . . . . . . . . . 4 2.2 Work and Heat . . . . . . . . . . . . . . . . . 4 2.3 Microscopic irreversibility . . . ...

The function of a massive scalar eld near a cosmic string is computed and then employed to nd the vacuum uctuation of the eld. The vacuum expectation value of the energy-momentum tensor is also computed using a point-splitting approach. The obtained results could be useful also for the case of self-interacting scalar elds and for the nite-temperature Rindler space theory.

Adaptive modulation exploits the time-variant channel capacity uctuation of fading channels using a range of di erent modem modes according to Equation 1 and Table1. This is achieved at the cost of some latency penalty, which is quanti ed in this treatise and mitigated by frequency hopping.