Exact time-averaged thermal conductance for small systems: Comparison between direct calculation and Green-Kubo formalism

Abstract

In this paper, we study exactly the thermal conductance for a low dimensional system represented by two coupled massive Brownian particles, both directly and via a Green-Kubo expression. Both approaches give exactly the same result. We also obtain exactly the steady state probability distribution for that system by means of time-averaging.

References in corpus (8)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Heat Transport in low-dimensional systems
• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Ratcheting Heat Flux against a Thermal Bias
• Green-Kubo formula for heat conduction in open systems
• Frequency-dependent fluctuation-dissipation relations in granular gases
• Brownian Dynamics, Time-averaging and Colored Noise
• Exact time-average distribution for a stationary non-Markovian massive Brownian particle coupled to two heat baths

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• Exact Nonequilibrium Work Generating Function for a Small Classical System
• Time auto-correlation function and Green-Kubo formula: A study on disordered harmonic chain
• Eliminating the cuspidal temperature profile of a non-equilibrium chain