Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session VV01: V: Poster Session III (7:00am-8:00am, PST)
7:00 AM,
Wednesday, March 22, 2023
Room: Virtual Room 1
Abstract: VV01.00062 : Reservoir crowding in a far-from-equilibrium exclusion process with dynamic defects*
Presenter:
Nikhil Bhatia
(Indian Institute of Technology Ropar)
Authors:
Nikhil Bhatia
(Indian Institute of Technology Ropar)
Arvind K Gupta
(Indian Institute of Technology Ropar)
Motivated by the biological process of gene transcription, we investigate a totally asymmetric simple exclusion process equipped with randomly distributed inhomogeneities “defects” that stochastically bind and unbind from the lattice with boundaries connected to a common reservoir. The total number of particles and defects in the system is conserved and controlled by the filling factor μ. Additionally, crowding of the reservoir is taken into account which regulates the entry and exit of particles from both boundaries as well as the binding and unbinding of defects. In the framework of mean-field approximation, we express the stationary state characteristics like density profiles and obtain the phase diagrams in α - β parameter space. In a novel simplification, we examine the effect of various parameters influencing the defect dynamics via a unifying parameter called the obstruction factor. Further, we elucidate the variation of the phase diagram with respect to the filling factor and obstruction factor. By examining the limiting values of the obstruction factor, its consequences have been carefully investigated on the phase boundaries. The theoretical findings are validated through extensive Monte Carlo simulations.
*Council of Scientific and Industrial Research (CSIR), India and DST-SERB, Govt. of India.
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700