Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/3801| Title: | The Green-Kubo formula for heat conduction in open systems |
| Authors: | Kundu, Anupam Dhar, Abhishek Narayan, Onuttom |
| Keywords: | heat conduction transport processes / heat transfer (theory) |
| Issue Date: | Mar-2009 |
| Publisher: | IOP Publishing/SISSA |
| Citation: | Journal of Statistical Mechanics, 2009, L03001 |
| Abstract: | 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. |
| Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
| URI: | http://hdl.handle.net/2289/3801 |
| ISSN: | E-ISSN: 1742-5468 |
| Alternative Location: | http://arxiv.org/abs/0809.4543 http://dx.doi.org/10.1088/1742-5468/2009/03/L03001 |
| Copyright: | 2009 IOP & SISSA |
| Appears in Collections: | Research Papers (TP) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2009_JStatMech_03_L03001.pdf Restricted Access | Restricted Access | 579.39 kB | Adobe PDF | View/Open Request a copy |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.