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We study the dynamics of a particle moving in one-dimensional Lorentzlattice-gas where particle performs mainly three different kinds of motion {\itviz} ballistic motion, diffusion and confinement. There are two different typesof scatterers, {\it viz} reflector and transmitters, randomly placed in thelattice. Reflectors are such that they reverse the particle's velocitydirection and transmitters let it pass through. Scatterers also change theircharacter with flipping probability $1-\alpha$, once the particle interactswith a scatterer. Hence the system is defined by two sets of parameters, $r$,which is the initial density of reflector/transmitter and $\alpha$. For$\alpha=0$ and $\alpha=1$ dynamics of the particle is purely deterministic elseit is probabilistic. In the pure deterministic case dynamics of the particle iseither propagation in one direction or confined between two near-by reflectorspresent. For the probabilistic case $\alpha \ne 1$ and $\ne 0$, although thedynamics of particle shows anomalous diffusion where dynamics is faster, slowerand comparable to normal diffusion on the variation of system parameters$(\alpha, r)$, but the asymptotic behaviour of the particle is normaldiffusion. We plot the phase diagram for the asymptotic behaviour, in the planeof $\alpha$ and $r$.

Dynamics of particle moving in one dimensional Lorentz lattice gas