Far-from-equilibrium distribution from near-steady-state work fluctuations
A long-standing goal of nonequilibrium statistical mechanics has been to extend the conceptual power of the Boltzmann distribution to driven systems. We report some new progress towards this goal. Instead of writing the nonequilibrium steady-state distribution in terms of perturbations around therma...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/99960 https://orcid.org/0000-0001-8414-3153 https://orcid.org/0000-0003-3866-0381 |
| _version_ | 1811098445431177216 |
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| author | Marsland, Robert Alvin England, Jeremy L. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Marsland, Robert Alvin England, Jeremy L. |
| author_sort | Marsland, Robert Alvin |
| collection | MIT |
| description | A long-standing goal of nonequilibrium statistical mechanics has been to extend the conceptual power of the Boltzmann distribution to driven systems. We report some new progress towards this goal. Instead of writing the nonequilibrium steady-state distribution in terms of perturbations around thermal equilibrium, we start from the linearized driven dynamics of observables about their stable fixed point, and expand in the strength of the nonlinearities encountered during typical fluctuations away from the fixed point. The first terms in this expansion retain the simplicity of known expansions about equilibrium, but can correctly describe the statistics of a certain class of systems even under strong driving. We illustrate this approach by comparison with a numerical simulation of a sheared Brownian colloid, where we find that the first two terms in our expansion are sufficient to account for the shear thinning behavior at high shear rates. |
| first_indexed | 2024-09-23T17:15:02Z |
| format | Article |
| id | mit-1721.1/99960 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T17:15:02Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/999602022-09-30T00:41:47Z Far-from-equilibrium distribution from near-steady-state work fluctuations Marsland, Robert Alvin England, Jeremy L. Massachusetts Institute of Technology. Department of Physics Marsland, Robert Alvin England, Jeremy L. A long-standing goal of nonequilibrium statistical mechanics has been to extend the conceptual power of the Boltzmann distribution to driven systems. We report some new progress towards this goal. Instead of writing the nonequilibrium steady-state distribution in terms of perturbations around thermal equilibrium, we start from the linearized driven dynamics of observables about their stable fixed point, and expand in the strength of the nonlinearities encountered during typical fluctuations away from the fixed point. The first terms in this expansion retain the simplicity of known expansions about equilibrium, but can correctly describe the statistics of a certain class of systems even under strong driving. We illustrate this approach by comparison with a numerical simulation of a sheared Brownian colloid, where we find that the first two terms in our expansion are sufficient to account for the shear thinning behavior at high shear rates. American Society for Engineering Education. National Defense Science and Engineering Graduate Fellowship (32 CRF 168a) 2015-11-20T17:27:30Z 2015-11-20T17:27:30Z 2015-11 2015-06 2015-11-16T23:00:04Z Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/99960 Marsland, Robert, and Jeremy England. “Far-from-Equilibrium Distribution from Near-Steady-State Work Fluctuations.” Phys. Rev. E 92, no. 5 (November 2015). © 2015 American Physical Society https://orcid.org/0000-0001-8414-3153 https://orcid.org/0000-0003-3866-0381 en http://dx.doi.org/10.1103/PhysRevE.92.052120 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Marsland, Robert Alvin England, Jeremy L. Far-from-equilibrium distribution from near-steady-state work fluctuations |
| title | Far-from-equilibrium distribution from near-steady-state work fluctuations |
| title_full | Far-from-equilibrium distribution from near-steady-state work fluctuations |
| title_fullStr | Far-from-equilibrium distribution from near-steady-state work fluctuations |
| title_full_unstemmed | Far-from-equilibrium distribution from near-steady-state work fluctuations |
| title_short | Far-from-equilibrium distribution from near-steady-state work fluctuations |
| title_sort | far from equilibrium distribution from near steady state work fluctuations |
| url | http://hdl.handle.net/1721.1/99960 https://orcid.org/0000-0001-8414-3153 https://orcid.org/0000-0003-3866-0381 |
| work_keys_str_mv | AT marslandrobertalvin farfromequilibriumdistributionfromnearsteadystateworkfluctuations AT englandjeremyl farfromequilibriumdistributionfromnearsteadystateworkfluctuations |