Department of Physics

Indian Institute Of Technology Madras , Chennai

Correlation function of one-dimensional nonequilibrium lattice gas models with 'jamming transition'

Speaker : Dr. Priyanka Singh, Jawaharlal Nehru Centre for Advanced Scientific Research, (JNCASR), Bangalore, India

2016-08-02

Abstract :

In my talk, I will discuss the dynamics and stationary state properties of several one-dimensional nonequilibrium models. These models show a jamming transition between high density fluid phase and low density jammed phase. In steady state, I will write down the exact formula for density-density correlation function in the canonical ensemble, and in thermodynamic limit at the critical point, I will show that this correlation function decays algebraically with a continuously varying exponent which depends on the hop rate parameter. In this talk, I will also address the question of stationary state dynamics of these models. Mapping these models to interface growth model, I will write down the hydrodynamic equation. The analysis shows that in fluid phase, dynamics is governed by KPZ equation with dynamical exponent $z=3/2$. This result has been verified numerically. Note that, the hydrodynamics description breaks down at the critical point. However, numerical simulations confirm that this result remains valid even in this regime. Setting $z=3/2$, we have been able to calculate autocorrelation function analytically. We find that when equal time correlation function decays faster than inverse correlation distance, the autocorrelation function decays with time as $t^{-2/3}$; the decay is slower otherwise with a continuously varying exponent. We also emphasize that further analysis is required in order to understand the problem fully.

Key Speaker Dr. Priyanka Singh, Jawaharlal Nehru Centre for Advanced Scientific Research, (JNCASR), Bangalore, India
Guests None
Place Conference Room
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None