Single-molecule observation of long jumps in polymer adsorption.

Single-molecule fluorescence imaging of adsorption onto initially bare surfaces shows that polymer chains need not localize immediately after arrival. In a system optimized to present limited adsorption sites (quartz surface to which polyethylene glycol (PEG) chains adsorb from aqueous solution at pH 8.2), we find that some chains diffuse back into bulk solution and readsorb at some distance away, sometimes multiple times before they either localize at a stable position or diffuse away into bulk solution. This mechanism of surface diffusion is considerably more rapid than the classical model in which adsorbed polymers crawl on surfaces while the entire molecule remains adsorbed, suggesting the conceptual generality of a recent report ( Phys. Rev. Lett. 2013 , 110 , 256101 ) but in a new experimental system and with comparison of different chain lengths. We find the trajectories with jumps to follow a truncated Lévy distribution of step size with limiting slope -2.5, consistent with a well-defined, rapid surface diffusion coefficient over the times we observe. The broad waiting time distribution appears to reflect that polymer chains possess a broad distribution of bound fraction: the smaller the bound fraction of a given chain, the shorter the surface residence time before executing the next surface jump.

[1]  C. Silien,et al.  Functionalizing hydrogen-bonded surface networks with self-assembled monolayers , 2008, Nature.

[2]  S. Granick,et al.  Modeling diffusion of adsorbed polymer with explicit solvent. , 2007, Physical review letters.

[3]  Z. Fu,et al.  Poly(ethylene oxide) adsorption onto chemically etched silicates by Brewster angle reflectivity , 1998 .

[4]  Charles Kervrann,et al.  Fast live simultaneous multiwavelength four-dimensional optical microscopy , 2010, Proceedings of the National Academy of Sciences.

[5]  C. Sparrow The Fractal Geometry of Nature , 1984 .

[6]  U. Landman,et al.  SLIP DIFFUSION AND LEVY FLIGHTS OF AN ADSORBED GOLD NANOCLUSTER , 1999 .

[7]  A J Golumbfskie,et al.  Simulation of biomimetic recognition between polymers and surfaces. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[8]  O. Bychuk,et al.  Anomalous surface diffusion: A numerical study , 1994 .

[9]  Stanley,et al.  Stochastic process with ultraslow convergence to a Gaussian: The truncated Lévy flight. , 1994, Physical review letters.

[10]  A. Barabasi,et al.  Human dynamics: Darwin and Einstein correspondence patterns , 2005, Nature.

[11]  J. G. Oliveira,et al.  Human Dynamics: The Correspondence Patterns of Darwin and Einstein , 2005 .

[12]  S. Granick,et al.  Polymer Surface Diffusion in the Dilute Limit , 2011 .

[13]  E. Kool,et al.  Hydrogen bonding, base stacking, and steric effects in dna replication. , 2001, Annual review of biophysics and biomolecular structure.

[14]  Irreversibility and polymer adsorption. , 2002, Physical review letters.

[15]  S. Anthony,et al.  Methods to track single-molecule trajectories. , 2006, Langmuir : the ACS journal of surfaces and colloids.

[16]  Non-equilibrium in adsorbed polymer layers , 2004, cond-mat/0407246.

[17]  F Rosei,et al.  Long jumps in the surface diffusion of large molecules. , 2002, Physical review letters.

[18]  Albert-László Barabási,et al.  The origin of bursts and heavy tails in human dynamics , 2005, Nature.

[19]  H. Stanley,et al.  Optimizing the success of random searches , 1999, Nature.

[20]  David G. Grier,et al.  The charge of glass and silica surfaces , 2001 .

[21]  R. Sauer,et al.  Protein-DNA recognition. , 1984, Annual review of biochemistry.

[22]  R. Metzler,et al.  Facilitated diffusion with DNA coiling , 2009, Proceedings of the National Academy of Sciences.

[23]  Sung Chul Bae,et al.  Anomalous yet Brownian , 2009, Proceedings of the National Academy of Sciences.

[24]  S. Granick,et al.  Fluorescence Recovery after Photobleaching Measurements of Polymers in a Surface Forces Apparatus , 2010 .

[25]  M. Muthukumar Pattern recognition by polyelectrolytes , 1995 .

[26]  S. Granick,et al.  The Bimodal Energy Landscape When Polymers Adsorb , 1996 .

[27]  Albert-László Barabási,et al.  Understanding individual human mobility patterns , 2008, Nature.

[28]  E. Yashima,et al.  Peculiar ‘Reptational’ Movements of Single Synthetic Polymer Chains on Substrate Observed by AFM , 2008 .

[29]  A. Iomin,et al.  Superdiffusion on a comb structure. , 2004, Physical review letters.

[30]  Flemming Besenbacher,et al.  SURFACE DIFFUSION OF PT ON PT(110) : ARRHENIUS BEHAVIOR OF LONG JUMPS , 1997 .

[31]  J. Wit,et al.  Multisite proton adsorption modeling at the solid/solution interface of (hydr)oxides: A new approach: II. Application to various important (hydr)oxides , 1989 .

[32]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[33]  Albert-László Barabási,et al.  Modeling bursts and heavy tails in human dynamics , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Zesheng Li,et al.  Surface diffusion dynamics of a single polymer chain in dilute solution. , 2007, Physical review letters.

[35]  Jörg Baschnagel,et al.  Stochastic Processes: From Physics to Finance , 2000 .

[36]  J. Teguh,et al.  Visualizing polymer crystallization in ultrathin layers using a single-macromolecule tracking method. , 2009, Physical review letters.

[37]  Patrick Bouthemy,et al.  Patch-Based Nonlocal Functional for Denoising Fluorescence Microscopy Image Sequences , 2010, IEEE Transactions on Medical Imaging.

[38]  D. K. Schwartz,et al.  Intermittent molecular hopping at the solid-liquid interface. , 2013, Physical review letters.

[39]  O'Shaughnessy,et al.  Anomalous diffusion at liquid surfaces. , 1995, Physical review letters.

[40]  Michael F. Shlesinger,et al.  Strange kinetics , 1993, Nature.

[41]  The origin and characterization of conformational heterogeneity in adsorbed polymer layers , 1997 .

[42]  G. J. Fleer,et al.  Kinetics of polymer adsorption and desorption in capillary flow , 1992 .

[43]  R. Valiullin,et al.  Lévy walks of strong adsorbates on surfaces: Computer simulation and spin-lattice relaxation , 1997 .