Finite-time quench dynamics in classical systems

In systems exhibiting thermal phase transition, following a sudden quench from a disordered phase to a low temperature symmetry-broken phase, the system does not order instantaneously; instead, the domains of symmetry-broken phase grow locally until the system reaches equilibrium at large times. Even if the system is quenched at a finite rate, it is not in equilibrium at the end of the quench and there are more defects compared to the equilibrium state at the quench temperature; one can then ask how the excess defect density decays with the quench time and what the dynamics are while the system is being slowly cooled. In this talk, I will describe our analytical and numerical results on finite-quench dynamics in classical Ising chains and zero range processes.

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