We present a generic reweighting method for nonequilibrium Markov processes.
With nonequilibrium Monte Carlo simulations at a single temperature, one
calculates the time evolution of physical quantities at different temperatures,
which greatly saves the computational time. Using the dynamical finite-size
scaling analysis for the nonequilibrium relaxation, one can study the dynamical
properties of phase transitions together with the equilibrium ones. We
demonstrate the procedure for the Ising model with the Metropolis algorithm,
but the present formalism is general and can be applied to a variety of systems
as well as with different Monte Carlo update schemes.Comment: accepted for publication in Phys. Rev. E (Rapid Communications