Matrix formalism of Excursion Set Theory

فرنیک نیک اختر (دانشکده فیزیک دانشگاه صنعتی شریف )

درفصل تابستان سمینارها 10 صبح برگزار خواهد شد!

Abstract:   Excursion Set Theory (EST) is an analytical framework to study the large scale structure of the Universe. EST introduces a procedure to calculate the number density of structures by relating the non-linear structure formation to cosmological linear perturbation theory.

 In this work, we propose a novel approach to re-formulate the EST in matrix formalism.The idea is to discretize the two dimensional plane of variance and density contrast, where the probability of density contrast in specific window function is represented in probability “ket”.  Naturally the concept of the transition matrix pops up to make the trajectories in excursion set theory. We introduce the Gaussian transition matrix and we show that several transition in EST plane preserve the Gaussianity of the profile with the mass variance related to the window function. In this work we present a procedure for the finding the expectation values in EST as well. The concept of transition probability rate in both limits of discrete and continuous limit of EST is introduced. Finally we introduce the methods to obtain the barrier crossing, number count and statistic calculations in this new formalism.

یکشنبه 16 خرداد ماه 1395، ساعت 10:00

    دانشکده فیزیک، طبقه اول، کلاس فیزیک 3