Theoretical Sciences Unit Seminar on 06th May 2022 (Friday).
Speaker: Dr. Priyanka
Affiliation: University of Illinois Urbana-Champaign
Date and Time: 06th May 2022 (Friday) Time: 2:30 PM Tea/Coffee: 2:15 PM
Venue: Kanada Auditorium, JNCASR
Title: Understanding the control process for non-equilibrium systems using scaling theory
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: a) surface roughness in the KPZ
growth process, and b) the dynamical states in a network model. In the KPZ
growth process, control is achieved by manipulating a subset of Fourier
modes, whereas, in the dynamical network, 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.
