We define a first-order phase transition as a bimodality of the event distribution in the space of observations and we show that this is equivalent to a curvature anomaly of the thermodynamical potential and that it implies the Yang Lee behavior of the zeroes of the partition sum. Moreover, it...

Purpose – The purpose of this paper is to investigate the impacts of technological capability (TC) and technology management (TM) on the development of China’s telecommunications industry by examining two interrelated questions: Which is the order parameter for China’s telecommunications...

In the crowd security research area a primary concern is to identify the macro state of crowd behaviors to prevent disasters and to supervise the crowd behaviors. The entropy is used to describe the macro state of a self-organization system in physics. The entropy change indicates the system...

On the basis of Langevin equation the optimal SUSY field scheme is formulated to describe a non-equilibrium thermodynamic system with quenched disorder and non-ergodicity effects. Thermodynamic and isothermal susceptibilities, memory parameter and irreversible response are determined at...

Two different site order parameters are considered to characterize the partial spin-glass behavior of ±J square Ising lattices. On the one hand, q proposed by Edwards and Anderson two decades ago; on the other p, a more drastic parameter introduced recently. Site order parameters depend very...

By analyzing the synthetic seismicity generated by a simple spring–block system with asperities, the probability distribution of its order parameter is investigated. The spring–block system mimics the interaction between tectonic plates, whose asperities are given by sandpapers of different...

Based on a relaxation equation for the alignment tensor characterizing the molecular orientation in liquid crystals under flow we present results for the full orientational dynamics of homogeneous liquid crystals in a shear flow. We extend the analysis of the symmetry-adapted states by...

The governed equations for the order parameter, one- and two-time correlators are obtained for systems with white multiplicative noise. We consider the noise whose amplitude depends on stochastic variable as xa where 0<a<1. It turns out that the equation for autocorrelator includes an anomalous average of the power-law function with the fractional exponent 2a. Determination of this average for the stochastic system with a self-similar phase space is performed. It is shown that at a>12, when the system is disordered, the correlator behaves in the course of...</a<1.>

In this work we show, that with the introduction of the micellar shape anisotropy in the order parameter of a lyotropic liquid crystal, it is possible to understand, in a unified way, the features observed in the phase diagram of these materials. Using the de Gennes connection between...