Particle Dispersion on Rapidly Folding Random Hetero-Polymers

Abstract

We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical coordinates. We study the antagonistic interplay between the enhanced diffusion and the quenched disorder. The dispersion speed exhibits universal behavior independent of the folding statistics. On the other hand it is strongly affected by the structure of the disordered potential. The results may serve as a reference point for a number of translocation phenomena observed in biological cells, such as protein dynamics on DNA strands.

4 pages, 4 figures

References in corpus (4)

• Statistical mechanics of complex networks
• Langevin equations for continuous time Lévy flights
• Levy Flights in External Force Fields: From Models to Equations
• Levy Flights in Inhomogeneous Media

Cited by in corpus (17)

• Lévy walks
• Optimal target search on a fast folding polymer chain with volume exchange
• Diffusion Processes on Power-Law Small-World Networks
• Negative superdiffusion due to the inhomogeneous convection
• Mesoscopic description of reactions under anomalous diffusion: A case study
• Optimization and universality of Brownian search in quenched heterogeneous media
• Correlated continuous-time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics
• Path Integral Formulation for Lévy Flights - Evaluation of the Propagator for Free, Linear and Harmonic Potentials in the Over- and Underdamped Limits
• Levy flights in confining potentials
• Target search on a dynamic DNA molecule
• Localization of directed polymers with general reference walk
• Accelerating random walks by disorder
• Hopping Models of Charge Transfer in a Complex Environment: New Class of Coupled Memory Continous-Time Random Walks
• Lévy flights in inhomogeneous environments and 1/f noise
• Weak disorder for low dimensional polymers: The model of stable laws
• Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links
• Localization and free energy asymptotics in disordered statistical mechanics and random growth models