The Green–Kubo formula for heat conduction in open systems

Kundu, Anupam ; Dhar, Abhishek ; Narayan, Onuttom (2009) The Green–Kubo formula for heat conduction in open systems Journal of Statistical Mechanics: Theory and Experiment, 2009 (03). L03001. ISSN 1742-5468

Full text not available from this repository.

Official URL:

Related URL:


We obtain an exact Green–Kubo type linear response result for the heat current in an open system. The result is derived for classical Hamiltonian systems coupled to heat baths. Both lattice models and fluid systems are studied and several commonly used implementations of heat baths, stochastic as well as deterministic, are considered. The results are valid in arbitrary dimensions and for any system sizes. Our results are useful for obtaining the linear response transport properties of mesoscopic systems. Also we point out that for systems with anomalous heat transport, as is the case in low-dimensional systems, the use of the standard Green–Kubo formula is problematic and the open system formula should be used.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:Transport Processes; Heat Transfer (Theory); Heat Conduction
ID Code:94421
Deposited On:15 Nov 2012 05:58
Last Modified:15 Nov 2012 05:58

Repository Staff Only: item control page