We discuss the universal scaling laws of order parameter fluctuations in any system in which the second-order critical behavior can be identified. These scaling laws can be derived rigorously for equilibrium systems when combined with the finitesize scaling analysis. The relation between order parameter, criticality and scaling law of fluctuations has been established and the connexion between ...

Magnetized liner inertial fusion (MagLIF) is a z-pinch magneto-inertial-fusion concept studied at the Z Pulsed Power Facility of Sandia National Laboratories. Two important metrics characterizing current delivery to load are peak and current-rise time, which roughly time interval reach current. It known that, when driving with longer performance decreases. However, theory understand quantify th...

SLAM (Simultaneous Localization and Mapping) is a fundamental problem when an autonomous mobile robot explores an unknown environment by constructing/updating the environment map and localizing itself in this built map. The all-important problem of SLAM is revisited in this paper and a solution based on Adaptive Unscented Kalman Filter (AUKF) is presented. We will explain the detailed algorithm...

A family of exact relativistic stellar models is described. The family generalizes Buchdahl’s n = 1 polytropic solution. The matter content is a perfect fluid and, excluding Buchdahl’s original model, it behaves as a liquid at low pressures in the sense that the energy density is non-zero in the zero pressure limit. The equation of state has two free parameters, a scaling and a stiffness parame...

Unlike an FFT block that uses floating point arithmetic, a block-floating-point FFT block does not provide an input for exponents. Internally, a complex value integer pair is represented with a single scale factor that is typically shared among other complex value integer pairs. After each stage of the FFT, the largest output value is detected and the intermediate result is scaled to improve th...

Universal scaling-laws of fluctuations (the ∆-scaling laws) have been derived for equilibrium systems, and shown to apply also in certain out-of-equilibrium situations. [1]. Recently looking for signals of a phase transition in multifragmentation reactions the model-independent theory of universal fluctuation has been used [2]. The ∆-scaling is observed when two or more probability distribution...

Operator scaling random fields are useful for modeling physical phenomena with different scaling properties in each coordinate. This paper develops a general parameter estimation method for such fields which allows an arbitrary set of scaling axes. The method is based on a new approach to nonlinear regression with errors whose mean is not zero. © 2013 Elsevier Inc. All rights reserved.