Abstract
We investigate the microscopical root and macroscopical representation of the stochastic localization, which is a nonergodic motion in oppositive to the other limit of ballistic diffusion. In order to produce such anomalous kinetics, we consider that a tagged particle is linearly coupled to a series connection bath or the terminal of a coupled-oscillator-chain. By means of generalized Langevin equation formalism, we obtain the coordinate autocorrelation function. The localization emerged of a particle at finite temperature, is due to the spectrum of driving noise diverging at zero frequency. Consequently, the steady distribution of system depends on its initial coordinate preparation.
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