English
Steady states and long range correlations in driven systems - Lecture 1
Multi angle
Auteurs : Mukamel, David (Auteur de la conférence)
CIRM (Editeur )
82C22 - Interacting particle systems
82C26 - Dynamic and nonequilibrium phase transitions (general)
CIRM (Editeur )
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Résumé :
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.
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 13/04/2017 Date de Captation : 05/04/2017 Sous Collection : Research School Catégorie arXiv : Statistical Mechanics Domaine(s) : Physique Mathématique Format : MP4 (.mp4) - HD Durée : 01:31:01 Audience : Chercheurs ; Etudiants Science Cycle 2 Download : https://videos.cirm-math.fr/2017-04-05_Mukamel_Part1.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Stochastic dynamics out of equilibrium / Dynamiques stochastiques hors d'équilibreOrganisateurs de la Rencontre : Giacomin, Giambattista ; Olla, Stefano ; Saada, Ellen ; Spohn, Herbert ; Stoltz, Gabriel Dates : 03/04/2017 - 07/04/2017 Année de la rencontre : 2017 URL de la Rencontre : http://conferences.cirm-math.fr/1555.html
Données de citation
DOI : 10.24350/CIRM.V.19155003Citer cette vidéo: 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 |
Voir Aussi
- [Multi angle] Collective dynamics in life sciences - Lecture 3. Phase transitions in the Vicsek model: mathematical analyses in the kinetic framework / Auteur de la conférence 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 / Auteur de la conférence Degond, Pierre.
- [Post-edited] Collective dynamics in life sciences - Lecture 1. Collective dynamics and self-organization in biological systems: challenges and some examples / Auteur de la conférence Degond, Pierre.
- [Multi angle] Steady states and long range correlations in driven systems - Lecture 2 / Auteur de la conférence Mukamel, David.
Bibliographie
- 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
