Theoretical Sciences Unit Seminar - 6 May 2022
Theoretical Sciences Unit Seminar
Date: 06th May 2022 (Friday)
Title: Understanding the Control Process for Non-Equilibrium Systems Using Scaling Theory
Speaker Details
Speaker: Dr. Priyanka
Affiliation: University of Illinois Urbana-Champaign
Schedule
Date and Time: 06th May 2022 (Friday), 2:30 PM
Tea/Coffee: 2:15 PM
Venue: Kanada Auditorium, JNCASR
Abstract
Control theory is a widely used tool in engineering to develop controlled, stable models of dynamical systems. The control of deterministic models has been extensively studied; however, studies on the control of non-equilibrium systems are less explored due to the presence of non-linearity and noise.
I will focus on understanding the effect of both linear and non-linear control processes on the intrinsic dynamics as well as stationary properties of non-equilibrium systems. In particular, I will discuss the control of the following two systems:
- Surface roughness in the KPZ growth process: Control is achieved by manipulating a subset of Fourier modes.
- Dynamical states in a network model: A metastable state is controlled using a closed feedback loop.
In both cases, the control process limits the time and length scales within which the system behaves according to its intrinsic stochastic dynamics. These time and length scales show scaling behavior with the control parameter, and the associated scaling exponents are related to those of the unperturbed model.
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