Characterising phase transitions through virtual walks and more

It is often helpful to map the dynamics of interacting particles to a different dynamical system. We use the scheme of defining a walker in a virtual space corresponding to the basic elements, e.g., spins or opinion states of agents, in non-equilibrium models. It is observed that the walks can detect the phase transitions occurring in these systems and also indicate whether the system reaches an absorbing state. In addition, we identify novel diverging time scales and exponents associated with the distribution of the displacements of the walkers. While in earlier studies it has been essentially a one dimensional walk, we discuss a recent work where the walks are performed on a two dimensional virtual space. 

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