We seek to utilize the nonextensive statistics to the microscopic modeling of the interacting many-investor dynamics that drive the price changes in a market. The statistics of price changes are known to be fit well by the Students-T and power-law distributions of the nonextensive statistics. We therefore derive models of interacting investors that are based on the nonextensive statistics and w...

In this paper, we propose a systematic way of liquid crystal modeling to build connection between microscopic theory and macroscopic theory. A new Q-tensor theory based on Onsager’s molecular theory which leads to liquid crystals with certain shape has been proposed. Making uniaxial assumption, we can recover the Oseen-Frank theory from the derived Q-tensor theory, and the Oseen-Frank model coe...

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows one to manage the microscopic and the macroscopic scale under a unique framework. In the resulting coupled model the two scales coexist and share information. This way it is possible to perform numerical simulations in which the trajectories and the density ...

A traffic flow model based on stochastic microscopic dynamics is presented. At the same time a new parameterization approach based on information theory is introduced and tested under actual non-equilibrium traffic data. The proposed model is shown to be valid for all traffic regimes but most importantly it is used to underscore a not so well known or understood source of modeling error for cla...

This paper reports on nonintrusive methods for characterizing the longitudinal performance of vehicles equipped with adaptive cruise control (ACC) systems. It reports the experimental set-up and procedures for measuring ACC system performance, followed by the modeling and simulation of the measured ACC performance. To further assess the interaction of ACC vehicles with human-controlled traffic,...

With their strong confining porosity and versatile surface 2 chemistry, Zeolitic Imidazolate Frameworks-including the 3 prototypical ZIF-8-display exceptional properties for vari-4 ous applications. In particular, forced intrusion of water 5 at high pressure (∼ 25 MPa) into ZIF-8 nanopores is in-6 terest energy storage. Such a system reveals also ideal to 7 study experimentally dynamics thermod...

In the context of cardiac muscle modeling, availability myosin heads in sarcomeres varies over heart cycle contributing to Frank–Starling mechanism at organ level. this paper, we propose a new approach that allows extend Huxley’57 contraction model equations incorporate variation. This extension is built thermodynamically consistent manner, and also adapted numerical methods satisfy thermodynam...