Superdiffusion induced by a long-correlated external random force
We consider a particle immersed in a thermal reservoir and simultaneously subjected to an external random force that drives the system to a nonequilibrium situation. Starting from a Langevin equation description, we derive exact expressions for the mean-square displacement and the velocity autocorre...
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paper:paper_15393755_v84_n6_p_Desposito2023-06-08T16:20:53Z Superdiffusion induced by a long-correlated external random force Despósito, Marcelo Arnaldo Active process Autocorrelation functions Diffusing particles Effective temperature Internal equilibrium Langevin equation Mean-square displacement Mittag-Leffler functions Non equilibrium Power-law Superdiffusion Superdiffusive regimes Thermal reservoir Velocity autocorrelation functions Autocorrelation Differential equations Kinetic theory of gases Regression analysis We consider a particle immersed in a thermal reservoir and simultaneously subjected to an external random force that drives the system to a nonequilibrium situation. Starting from a Langevin equation description, we derive exact expressions for the mean-square displacement and the velocity autocorrelation function of the diffusing particle. An effective temperature is introduced to characterize the deviation from the internal equilibrium situation. Using a power-law force autocorrelation function, the mean-square displacement and the velocity autocorrelation function are analytically obtained in terms of Mittag-Leffler functions. In this case, we show that the present model exhibits a superdiffusive regime as a consequence of the competition between passive and active processes. © 2011 American Physical Society. Fil:Despósito, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v84_n6_p_Desposito http://hdl.handle.net/20.500.12110/paper_15393755_v84_n6_p_Desposito |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Active process Autocorrelation functions Diffusing particles Effective temperature Internal equilibrium Langevin equation Mean-square displacement Mittag-Leffler functions Non equilibrium Power-law Superdiffusion Superdiffusive regimes Thermal reservoir Velocity autocorrelation functions Autocorrelation Differential equations Kinetic theory of gases Regression analysis |
| spellingShingle |
Active process Autocorrelation functions Diffusing particles Effective temperature Internal equilibrium Langevin equation Mean-square displacement Mittag-Leffler functions Non equilibrium Power-law Superdiffusion Superdiffusive regimes Thermal reservoir Velocity autocorrelation functions Autocorrelation Differential equations Kinetic theory of gases Regression analysis Despósito, Marcelo Arnaldo Superdiffusion induced by a long-correlated external random force |
| topic_facet |
Active process Autocorrelation functions Diffusing particles Effective temperature Internal equilibrium Langevin equation Mean-square displacement Mittag-Leffler functions Non equilibrium Power-law Superdiffusion Superdiffusive regimes Thermal reservoir Velocity autocorrelation functions Autocorrelation Differential equations Kinetic theory of gases Regression analysis |
| description |
We consider a particle immersed in a thermal reservoir and simultaneously subjected to an external random force that drives the system to a nonequilibrium situation. Starting from a Langevin equation description, we derive exact expressions for the mean-square displacement and the velocity autocorrelation function of the diffusing particle. An effective temperature is introduced to characterize the deviation from the internal equilibrium situation. Using a power-law force autocorrelation function, the mean-square displacement and the velocity autocorrelation function are analytically obtained in terms of Mittag-Leffler functions. In this case, we show that the present model exhibits a superdiffusive regime as a consequence of the competition between passive and active processes. © 2011 American Physical Society. |
| author |
Despósito, Marcelo Arnaldo |
| author_facet |
Despósito, Marcelo Arnaldo |
| author_sort |
Despósito, Marcelo Arnaldo |
| title |
Superdiffusion induced by a long-correlated external random force |
| title_short |
Superdiffusion induced by a long-correlated external random force |
| title_full |
Superdiffusion induced by a long-correlated external random force |
| title_fullStr |
Superdiffusion induced by a long-correlated external random force |
| title_full_unstemmed |
Superdiffusion induced by a long-correlated external random force |
| title_sort |
superdiffusion induced by a long-correlated external random force |
| publishDate |
2011 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v84_n6_p_Desposito http://hdl.handle.net/20.500.12110/paper_15393755_v84_n6_p_Desposito |
| work_keys_str_mv |
AT despositomarceloarnaldo superdiffusioninducedbyalongcorrelatedexternalrandomforce |
| _version_ |
1768543770239827968 |