Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/7283Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bhat, Deepak | - |
| dc.contributor.author | Dhar, Abhishek | - |
| dc.contributor.author | Kundu, Anupam | - |
| dc.contributor.author | Sabhapandit, Sanjib | - |
| dc.date.accessioned | 2019-09-12T18:09:37Z | - |
| dc.date.available | 2019-09-12T18:09:37Z | - |
| dc.date.issued | 2019-07-31 | - |
| dc.identifier.citation | Europhysics Letters, 2019, Vol.127, p10004 | en_US |
| dc.identifier.issn | 0295-5075 | - |
| dc.identifier.issn | 1286-4854 (Online) | - |
| dc.identifier.uri | http://hdl.handle.net/2289/7283 | - |
| dc.description | Restricted Access | en_US |
| dc.description.abstract | We consider a Szilard engine in one dimension, consisting of a single particle of mass m, moving between a piston of mass M and a heat reservoir at temperature T. In addition to an external force, the piston experiences repeated elastic collisions with the particle. We find that the motion of a heavy piston $(M \gg m)$ , can be described effectively by a Langevin equation. Various numerical evidences suggest that the frictional coefficient in the Langevin equation is given by $\gamma = (1/X)\sqrt{8 \pi m k_BT}$ , where X is the position of the piston measured from the thermal wall. Starting from the exact master equation for the full system and using a perturbation expansion in $\epsilon= \sqrt{m/M}$ , we integrate out the degrees of freedom of the particle to obtain the effective Fokker-Planck equation for the piston, albeit with a different frictional coefficient. Our microscopic study shows that the piston is never in equilibrium during the expansion step, contrary to the assumption made in the usual Szilard engine analysis —nevertheless the conclusions of Szilard remain valid. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | IOP Publishing Ltd | en_US |
| dc.relation.uri | https://ui.adsabs.harvard.edu/abs/2018arXiv181007890B/abstract | en_US |
| dc.relation.uri | 10.1209/0295-5075/127/10004 | en_US |
| dc.relation.uri | https://arxiv.org/abs/1810.07890 | en_US |
| dc.rights | 2019 EPLA | en_US |
| dc.title | Non-equilibrium dynamics of the piston in the Szilard engine | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Papers (TP) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2019_EPL_Vol.127_p10004.pdf Restricted Access | Restricted Access | 1.01 MB | Adobe PDF | View/Open Request a copy |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.