Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session D24: Control of Noisy Nonlinear Dynamical Systems
2:30 PM–4:42 PM,
Monday, March 2, 2020
Room: 401
Sponsoring
Unit:
GSNP
Chair: Uwe Tauber, Virginia Tech
Abstract: D24.00001 : Understanding the control process for non-equilibrium systems using scaling theory*
Presenter:
Priyanka .
(Department of Physics & Center for Soft Matter and Biological Physics, Virginia Tech)
Authors:
Priyanka .
(Department of Physics & Center for Soft Matter and Biological Physics, Virginia Tech)
Uwe Claus Tauber
(Department of Physics & Center for Soft Matter and Biological Physics, Virginia Tech)
Michel Pleimling
(Department of Physics & Center for Soft Matter and Biological Physics, Virginia Tech)
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.
*Research was sponsored by the Army
Research Office and was accomplished under Grant Number
W911NF17-1-0156.
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