Estimating Relaxation Times from a Single Trajectory

Complex systems such as intermittent dynamics, protein conformational fluctuations and supercooled liquids exhibit a long relaxation time are considered to possess multiple times. We propose stochastic processes with times analytically obtain the exact correlation function. show that time-averaged function calculated by trajectory whose length is shorter than longest exhibits an apparent aging behavior. method extract from single trajectory. This successfully extracts of process states when state can be characterized values As application this method, we estimate several smaller in small protein.