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Based on two-time observation protocol, we consider heat transfer in a given time interval $t_{M}$ in lead-junction-lead system taking coupling between the leads into account. In view of the two-time observation, consistency conditions are…

Statistical Mechanics · Physics 2012-10-16 Huanan Li , Bijay Kumar Agarwalla , Jian-Sheng Wang

We investigate the full counting statistics of extreme-near-field radiative heat transfer using nonequilibrium Green's function formalism. In the extreme near field, the electron-electron interactions between two metallic bodies dominate…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Gaomin Tang , Jian-Sheng Wang

We study heat transport for solids in the presence of arbitrary time-dependent force. Using nonequilibrium Green's function (NEGF) approach we present an exact analytical expression of current for the linear system. We found that the heat…

Statistical Mechanics · Physics 2011-11-29 Bijay Kumar Agarwalla , Jian-Sheng Wang , Baowen Li

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, $\Sigma^A(\tau, \tau') = \Sigma_L\bigl(\tau…

Statistical Mechanics · Physics 2011-11-29 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li

We study heat current and the full statistics of heat fluctuations in a capacitively-coupled double quantum dot system. This work is motivated by recent theoretical studies and experimental works on heat currents in quantum dot circuits. As…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Hari Kumar Yadalam , Upendra Harbola

We report the investigation of full-counting statistics (FCS) of transferred charge and spin in the transient regime where the connection between central scattering region (quantum dot) and leads are turned on at $t=0$. A general…

Statistical Mechanics · Physics 2014-12-15 Gao-Min Tang , Jian Wang

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Abhishek Dhar , Dibyendu Roy

We develop a method for calculation of charge transfer statistics of persistent current in nanostructures in terms of the cumulant generating function (CGF) of transferred charge. We consider a simply connected one-dimensional system (a…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 A. Komnik , G. W. Langhanke

We study the time-dependent transport of heat in a nanoscale thermal switch. The switch consists of left and right leads that are initially uncoupled. During switch-on the coupling between the leads is abruptly turned on. We use the…

Mesoscale and Nanoscale Physics · Physics 2010-02-10 Eduardo C. Cuansing , Jian-Sheng Wang

The full counting statistics of charge transport is the probability distribution $p_n(t_m)$ that $n$ electrons have flown through the system in measuring time $t_m$. The cumulant generating function (CGF) of this distribution $F(\chi,t_m)$…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Sam T. Carr , Peter Schmitteckert , Hubert Saleur

We study full counting statistics for transferred heat and entropy production between multi-terminal systems in absence of a finite junction. The systems are modelled as collections of coupled harmonic oscillators which are kept at…

Statistical Mechanics · Physics 2015-06-16 Bijay Kumar Agarwalla , Huanan Li , Baowen Li , Jian-Sheng Wang

We study phonon transport in junctions of two harmonic reservoirs coupled together by a spring. The exact steady-state heat currents and thermal conductance are calculated using nonequilibrium Green's functions. We find that the heat…

Statistical Mechanics · Physics 2026-04-13 Eduardo C. Cuansing , Juan Rafael K. Bautista

We consider heat transfer across an arbitrary harmonic network connected to two heat baths at different temperatures. The network has $N$ positional degrees of freedom, of which $N_L$ are connected to a bath at temperature $T_L$ and $N_R$…

Statistical Mechanics · Physics 2015-05-20 Keiji Saito , Abhishek Dhar

We follow the nonequilibrium Green's function formalism to study time-dependent thermal transport in a linear chain system consisting of two semi-infinite leads connected together by a coupling that is harmonically modulated in time. The…

Mesoscale and Nanoscale Physics · Physics 2010-08-18 Eduardo C. Cuansing , Jian-Sheng Wang

This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

Statistical Mechanics · Physics 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

We study the statistical properties of charge and energy transport in electron conducting junctions with electron-phonon interactions, specifically, the thermoelectric efficiency and its fluctuations. The system comprises donor and acceptor…

Statistical Mechanics · Physics 2016-01-20 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

In this thesis, a variable speed heat conducting cylinder is positioned in the middle of a rectangular channel with an active flow modification system to demonstrate a numerical study of steady two-dimensional mixed convention heat transfer…

Fluid Dynamics · Physics 2022-10-25 Md Imran Khan , Md. Mamun Billah , Mohammed Mizanur Rahman

We investigate the full-counting statistics (FCS) of energy flow carried by electrons in the transient regime. Based on two measurement scheme we formulate a non-equilibrium Keldysh Green's function theory to compute the generating function…

Mesoscale and Nanoscale Physics · Physics 2017-06-23 Zhizhou Yu , Gao-Min Tang , Jian Wang

We investigate the full-counting statistics (FCS) of energy transport carried by electrons in molecular junctions for the Anderson-Holstein model in the polaronic regime. Using two-time quantum measurement scheme, generating function (GF)…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Gaomin Tang , Zhizhou Yu , Jian Wang
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