Soham Biswas

Model of binary opinion dynamics: Coarsening and effect of disorder.

We propose a model of binary opinion in which the opinion of the individuals changes according to the state of their neighboring domains. If the neighboring domains have opposite opinions then the opinion of the domain with the larger size is followed. Starting from a random configuration, the system evolves to a homogeneous state. The dynamical evolution shows a scaling behavior with the persistence exponent theta approximately 0.235 and dynamic exponent z approximately 1.02 + or - 0.02. Introducing disorder through a parameter called rigidity coefficient rho (probability that people are completely rigid and never change their opinion), the transition to a heterogeneous society at rho=0(+) is obtained. Close to rho=0, the equilibrium values of the dynamic variables show power-law scaling behavior with rho. We also discuss the effect of having both quenched and annealed disorder in the system.

Opinion dynamics model with weighted influence: exit probability and dynamics.

We introduce a stochastic model of binary opinion dynamics in one dimension. The binary opinions

Exit probability in inflow dynamics: nonuniversality induced by range, asymmetry, and fluctuation.

\pm 1

Effect of the nature of randomness on quenching dynamics of the Ising model on complex networks.

are analogous to up and down Ising spins and in the equivalent spin system, only the spins at the domain boundary can flip. The probability that a spin at the boundary is up is taken as

Complex networks: Effect of subtle changes in nature of randomness

P_{up} = \frac {s_{up}} {s_{up} + \delta s_{down}}

Rich structure in the correlation matrix spectra in non-equilibrium steady states

where

Novel ballistic to diffusive crossover in the dynamics of a one-dimensional Ising model with variable range of interaction

s_{up} (s_{down})

Ballistic annihilation with superimposed diffusion in one dimension.

denotes the size of the domain with up (down) spins neighbouring it. With

Opinion dynamics model with domain size dependent dynamics: novel features and new universality class

x

Zero-temperature dynamics in the two-dimensional axial next-nearest-neighbor Ising model.

fraction of up spins initially, a phase transition is observed in terms of the exit probability and the phase boundary is obtained in the