Current-density relation in the exclusion process with dynamic obstacles

Exact joint density-current probability function for the asymmetric exclusion process.

We study the asymmetric simple exclusion process with open boundaries and derive the exact form of the joint probability function for the occupation number and the current through the system. We further consider the thermodynamic limit, showing that the resulting distribution is non-Gaussian and that the density fluctuations have a discontinuity at the continuous phase transition, while the cur...

Experimental Investigation of Porosity, Installation Angle, Thickness and Second Layer of Permeable Obstacles on Density Current

This study explored the effect of porosity and installation angle, thickness (dimension) and second layer of permeable obstacles on density current control and trapping in the laboratory. For this purpose, an insoluble suspended polymer and two types of groove and cavity obstacles made from plexiglass sheets were selected. The experiments were conducted with two different concentrations, five d...

Current Fluctuations for the Totally Asymmetric Simple Exclusion Process

The time-integrated current of the TASEP has non-Gaussian fluctuations of order t. The recently discovered connection to random matrices and the Painlevé II RiemannHilbert problem provides a technique through which we obtain the probability distribution of the current fluctuations, in particular their dependence on initial conditions, and the stationary two-point function. Some open problems ar...

Current Fluctuations for the Totally Asymmetric Simple Exclusion Process

azerbaijans political development after the collapse of soviet union and implication on relation with the islamic republic of iran

در فصل اول این پایاین نامه در خصوص تاریخ کشور اذربایجان قبل و بعد از جدایی این کشور از ایران مورد بررسی قرار گرفته است ودر فصل دوم تحولات سیاسی این کشور بعد از 1991 و در واقع بعد از فروپاشی شوروی و دولتهایی که روی کار امدند در از جمله دولت ابولفضل ایلچی بیگ،دولت حیدر علی اف وبعد از او پسرش الهام علی اف و نگرش هرکدام از این دولتها به سیاسیت خارجی اذربایجان مورد اشاره قرار گرفته است.در ودر فصل سو...