Stretched Markov nature of single-file self-dynamics.
We study the generalized diffusion of a tagged particle in a one-dimensional fluid of hard-point particles. The dynamics of a single particle in its nonuniform, nondeterministic environment is assumed known. On eliminating suitably defined transients from the exact solution, we find a universal form for the tagged particle dynamics when written in terms of stretched space and time, appearing as the classical telegrapher's equation.
Kalinay
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Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11 Bratislava, Slovak Republic.
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