Fractional hopping-type motion in columnar mesophase of semi-flexible rod-like particles

We report on single-particle dynamics of strongly interacting filamentous fd virus particles in the liquid-crystalline columnar state in aqueous solution. From fluorescence microscopy we find that rare, discrete events take place, in which individual particles engage in sudden, jump-like motion along the main rod axis. The jump length distribution is bimodal and centered at half and full particle lengths. Our Brownian dynamics simulations of hard semi-flexible particles mimic our experiments, and indicate that full-length jumps must be due to collective dynamics in which particles move in string-like fashion in and between neighboring columns, while half jumps arise as a result of particles moving into defects. We find that the finite domain structure of the columnar phase strongly influences the observed dynamics.