Transient behavior of full counting statistics in thermal transport

Abstract

The generating function of energy counting statistics is derived for phononic junction systems. It is expressed in terms of the contour-ordered self-energy of the lead with shifted arguments, ΣA(τ, τ′)=ΣL[τ+ x(τ), τ′+ x(τ′)]-ΣL(τ, τ′), where ΣL(τ, τ′) is the usual contour-ordered self-energy of the left lead. The cumulants of the energy transferred in a given time from the lead to the center are obtained by taking derivatives. A transient result of the first four cumulants of a graphene junction is presented. It is found that measurements cause the energy to flow into the lead. © 2011 American Physical Society.