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Steady states and long range correlations in driven systems - Lecture 1
Multi angle
Authors : Mukamel, David (Author of the conference)
CIRM (Publisher )
82C22 - Interacting particle systems
82C26 - Dynamic and nonequilibrium phase transitions (general)
CIRM (Publisher )
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Abstract :
In these three lectures steady states and dynamical properties of nonequilibrium systems will be discussed.
Systems driven out of thermal equilibrium often reach a steady state which under generic conditions exhibits long-range correlations. This is very different from systems in thermal equilibrium where long-range correlations develop only at phase transition points. In some cases these correlations even lead to long-range order in d=1 dimension, of the type occurring in traffic jams. Simple examples of such correlations induced in the steady state of driven systems will be presented and discussed. Close correspondence of these nonequilibrium steady states to electrostatic potentials induces by charge distribution will be pointed out.
Another class which will be discussed is that of systems with boundary drive, such as in heat conduction problems, where anomalous heat conduction takes place in low dimensions. In addition some similarities between driven systems and equilibrium systems with long-range interactions will be elucidated.
MSC Codes : Systems driven out of thermal equilibrium often reach a steady state which under generic conditions exhibits long-range correlations. This is very different from systems in thermal equilibrium where long-range correlations develop only at phase transition points. In some cases these correlations even lead to long-range order in d=1 dimension, of the type occurring in traffic jams. Simple examples of such correlations induced in the steady state of driven systems will be presented and discussed. Close correspondence of these nonequilibrium steady states to electrostatic potentials induces by charge distribution will be pointed out.
Another class which will be discussed is that of systems with boundary drive, such as in heat conduction problems, where anomalous heat conduction takes place in low dimensions. In addition some similarities between driven systems and equilibrium systems with long-range interactions will be elucidated.
82C22 - Interacting particle systems
82C26 - Dynamic and nonequilibrium phase transitions (general)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/04/2017 Conference Date : 05/04/2017 Subseries : Research School arXiv category : Statistical Mechanics Mathematical Area(s) : Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:31:01 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2017-04-05_Mukamel_Part1.mp4 
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Information on the Event
Event Title : Stochastic dynamics out of equilibrium / Dynamiques stochastiques hors d'équilibreEvent Organizers : Giacomin, Giambattista ; Olla, Stefano ; Saada, Ellen ; Spohn, Herbert ; Stoltz, Gabriel Dates : 03/04/2017 - 07/04/2017 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1555.html
Citation Data
DOI : 10.24350/CIRM.V.19155003Cite this video as: Mukamel, David (2017). Steady states and long range correlations in driven systems - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19155003 URI : http://dx.doi.org/10.24350/CIRM.V.19155003 |
See Also
- [Multi angle] Collective dynamics in life sciences - Lecture 3. Phase transitions in the Vicsek model: mathematical analyses in the kinetic framework / Author of the conference Degond, Pierre.
- [Multi angle] Collective dynamics in life sciences - Lecture 2. The Vicsek model as a paradigm for self-organization: from particles to fluid via kinetic descriptions / Author of the conference Degond, Pierre.
- [Post-edited] Collective dynamics in life sciences - Lecture 1. Collective dynamics and self-organization in biological systems: challenges and some examples / Author of the conference Degond, Pierre.
- [Multi angle] Steady states and long range correlations in driven systems - Lecture 2 / Author of the conference Mukamel, David.
Bibliography
- Campa, A., Dauxois, T., Fanelli, D., & Ruffo, S. (2014). Physics of Long-Range Interacting Systems. Oxford: Oxford University Press - http://dx.doi.org/10.1093/acprof:oso/9780199581931.001.0001
- Cohen, O., & Mukamel, D. (2014). Nonequilibrium ensemble inequivalence and large deviations of the density in the ABC model, Physical Review E, 90, 102109 - https://link.aps.org/doi/10.1103/PhysRevE.90.012107
- Derrida, B. (2007). Non equilibrium steady states: fluctuations and large deviations of the density and of the current, Journal of Statistical Mechanics: Theory and Experiment, P07023 - http://stacks.iop.org/1742-5468/2007/i=07/a=P07023
- Dhar, A. (2008). Heat Transport in Low Dimensional systems, Advances in Physics, 57(5), 457-537 - http://dx.doi.org/10.1080/00018730802538522
- Lepri, S. (Ed.). (2016). Thermal Transport in Low Dimensions. Switzerland: Springer - http://dx.doi.org/10.1007/978-3-319-29261-8
- Sadhu, T., Majumdar, S.N., & Mukamel, D. (2014). Long-range correlations in locally driven exclusion process, Physical Review E, 90, 012109 - https://link.aps.org/doi/10.1103/PhysRevE.90.012109
- Sadhu, T., Majumdar, S.N., & Mukamel, D. (2011). Long-range steady state density profiles induced by localized drive, Physical Review E, 84(5), 051136 - https://link.aps.org/doi/10.1103/PhysRevE.84.051136
