TY - JOUR
T1 - Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions
AU - Joen, Jae-Hyung
AU - Leijnse, Natascha
AU - Oddershede, Lene Broeng
AU - Metzler, Ralf
PY - 2013/4/17
Y1 - 2013/4/17
N2 - We report the results of single tracer particle tracking by optical tweezers and video microscopy in micellar solutions. From careful analysis in terms of different stochastic models, we show that the polystyrene tracer beads of size 0.52-2.5 μm after short-time normal diffusion turn over to perform anomalous diffusion of the form r2(t) ≃ tα with α ≈ 0.3. This free anomalous diffusion is ergodic and consistent with a description in terms of the generalized Langevin equation with a power-law memory kernel. With optical tweezers tracking, we unveil a power-law relaxation over several decades in time to the thermal plateau value under the confinement of the harmonic tweezer potential, as predicted previously (Phys. Rev. E 85 021147 (2012)). After the subdiffusive motion in the millisecond range, the motion becomes faster and turns either back to normal Brownian diffusion or to even faster superdiffusion, depending on the size of the tracer beads.
AB - We report the results of single tracer particle tracking by optical tweezers and video microscopy in micellar solutions. From careful analysis in terms of different stochastic models, we show that the polystyrene tracer beads of size 0.52-2.5 μm after short-time normal diffusion turn over to perform anomalous diffusion of the form r2(t) ≃ tα with α ≈ 0.3. This free anomalous diffusion is ergodic and consistent with a description in terms of the generalized Langevin equation with a power-law memory kernel. With optical tweezers tracking, we unveil a power-law relaxation over several decades in time to the thermal plateau value under the confinement of the harmonic tweezer potential, as predicted previously (Phys. Rev. E 85 021147 (2012)). After the subdiffusive motion in the millisecond range, the motion becomes faster and turns either back to normal Brownian diffusion or to even faster superdiffusion, depending on the size of the tracer beads.
U2 - 10.1088/1367-2630/15/4/045011
DO - 10.1088/1367-2630/15/4/045011
M3 - Journal article
SN - 1367-2630
VL - 15
SP - 045011
JO - New Journal of Physics
JF - New Journal of Physics
ER -