Coupled transport in rotor models
Steady nonequilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schrödinger equation. Their distinctive feature is that the relevant variable...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/8/083023 |
| _version_ | 1797750963810861056 |
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| author | S Iubini S Lepri R Livi A Politi |
| author_facet | S Iubini S Lepri R Livi A Politi |
| author_sort | S Iubini |
| collection | DOAJ |
| description | Steady nonequilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schrödinger equation. Their distinctive feature is that the relevant variable is an angle in both cases. We point out the importance of clearly distinguishing between energy and heat flux. In fact, even in the presence of a vanishing Seebeck coefficient, a coupling between (angular) momentum and energy arises, mediated by the unavoidable presence of a coherent energy flux. Such a contribution is the result of the ‘advection’ induced by the position-dependent angular velocity. As a result, in the XY model, the knowledge of the two diagonal elements of the Onsager matrix suffices to reconstruct its transport properties. The analysis of the nonequilibrium steady states finally allows to strengthen the connection between the two models. |
| first_indexed | 2024-03-12T16:40:27Z |
| format | Article |
| id | doaj.art-5f964e99dc644a1698631d93cee60403 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:40:27Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5f964e99dc644a1698631d93cee604032023-08-08T14:31:01ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118808302310.1088/1367-2630/18/8/083023Coupled transport in rotor modelsS Iubini0S Lepri1R Livi2A Politi3Centre de Biophysique Moléculaire (CBM), CNRS-UPR 4301 Rue Charles Sadron, F-45071 Orléans, FranceConsiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1 I-50019, Sesto Fiorentino, ItalyConsiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1 I-50019, Sesto Fiorentino, Italy; Dipartimento di Fisica e Astronomia, Università di Firenze , via G. Sansone 1 I-50019, Sesto Fiorentino, Italy; Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, Università di Firenze , ItalyInstitute for Complex Systems and Mathematical Biology & SUPA University of Aberdeen , Aberdeen AB24 3UE, UKSteady nonequilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schrödinger equation. Their distinctive feature is that the relevant variable is an angle in both cases. We point out the importance of clearly distinguishing between energy and heat flux. In fact, even in the presence of a vanishing Seebeck coefficient, a coupling between (angular) momentum and energy arises, mediated by the unavoidable presence of a coherent energy flux. Such a contribution is the result of the ‘advection’ induced by the position-dependent angular velocity. As a result, in the XY model, the knowledge of the two diagonal elements of the Onsager matrix suffices to reconstruct its transport properties. The analysis of the nonequilibrium steady states finally allows to strengthen the connection between the two models.https://doi.org/10.1088/1367-2630/18/8/083023transport processesheat transfer (theory)nonlinear oscillatorsXY modeldiscrete nonlinear Schrdinger equation63.10.+a |
| spellingShingle | S Iubini S Lepri R Livi A Politi Coupled transport in rotor models New Journal of Physics transport processes heat transfer (theory) nonlinear oscillators XY model discrete nonlinear Schrdinger equation 63.10.+a |
| title | Coupled transport in rotor models |
| title_full | Coupled transport in rotor models |
| title_fullStr | Coupled transport in rotor models |
| title_full_unstemmed | Coupled transport in rotor models |
| title_short | Coupled transport in rotor models |
| title_sort | coupled transport in rotor models |
| topic | transport processes heat transfer (theory) nonlinear oscillators XY model discrete nonlinear Schrdinger equation 63.10.+a |
| url | https://doi.org/10.1088/1367-2630/18/8/083023 |
| work_keys_str_mv | AT siubini coupledtransportinrotormodels AT slepri coupledtransportinrotormodels AT rlivi coupledtransportinrotormodels AT apoliti coupledtransportinrotormodels |