Date:
Wed, 19/06/201912:00-13:30
Location:
Danciger B building, Seminar room
Lecturer: Tal Agranov
Abstract:
Fluctuations far from equilibrium are ubiquitous in nature, yet their theory is still in infancy.
A significant progress in understanding such fluctuations has been made possible with the recent appearance of the Macroscopic Fluctuation Theory (MFT) [1], which describes transport properties of ensembles of interacting diffusing particles.
In this talk I will present applications of this theory to two problems. The first is the Narrow Escape Problem [2], where particles diffuse out of a bounded domain through a small escape window on its boundary. Here the MFT describes the impact of inter-particle interactions on the escape statistics.
The second problem [3] deals with occupation statistics: the amount of time that diffusing particles spend in a certain region of space. Using the MFT, we uncovered a dynamical phase transition: a singularity of the large deviation function of the occupation fraction, resulting from inter-particle interactions.
[1] L. Bertini, A. De Sole, D. Gabrielli, G. Jona Lasinio, C. Landim, Rev. Mod. Phys. 87, 593 (2015).
[2] T. Agranov and B. Meerson, Phys. Rev. Lett. 120, 120601 (2018).
[3] T. Agranov, P. L. Krapivsky and B. Meerson, Phys. Rev. E (in press); arXiv:1901.00153 (2019).
Abstract:
Fluctuations far from equilibrium are ubiquitous in nature, yet their theory is still in infancy.
A significant progress in understanding such fluctuations has been made possible with the recent appearance of the Macroscopic Fluctuation Theory (MFT) [1], which describes transport properties of ensembles of interacting diffusing particles.
In this talk I will present applications of this theory to two problems. The first is the Narrow Escape Problem [2], where particles diffuse out of a bounded domain through a small escape window on its boundary. Here the MFT describes the impact of inter-particle interactions on the escape statistics.
The second problem [3] deals with occupation statistics: the amount of time that diffusing particles spend in a certain region of space. Using the MFT, we uncovered a dynamical phase transition: a singularity of the large deviation function of the occupation fraction, resulting from inter-particle interactions.
[1] L. Bertini, A. De Sole, D. Gabrielli, G. Jona Lasinio, C. Landim, Rev. Mod. Phys. 87, 593 (2015).
[2] T. Agranov and B. Meerson, Phys. Rev. Lett. 120, 120601 (2018).
[3] T. Agranov, P. L. Krapivsky and B. Meerson, Phys. Rev. E (in press); arXiv:1901.00153 (2019).