Dynamic correlations of macroscopic quantities.

The dynamics of fluctuations of a family of macroscopic quantities in one-dimensional systems (which includes the roughness and the total length of an interface, and the end-to-end distance of a filament) are analyzed. At thermodynamic equilibrium, the time-correlation function of these quantities can be expressed in terms of time-correlation functions of local quantities. In some cases, macroscopic quantities exhibit a universal diffusive behavior, which is not reached by local quantities.

[1]  E. Williams,et al.  Temporal step fluctuations on a conductor surface: electromigration force, surface resistivity and low-frequency noise , 2007 .

[2]  David A Weitz,et al.  Bending dynamics of fluctuating biopolymers probed by automated high-resolution filament tracking. , 2007, Biophysical journal.

[3]  K. L. Man,et al.  Magnetic domain wall energies in Fe/Cu(100) measured from direct observations of thermal fluctuations using SPLEEM , 2003, Microscopy and Microanalysis.

[4]  O. Pierre-Louis.  Continuum model for low temperature relaxation of crystal steps. , 2001, Physical review letters.

[5]  Ellen D. Williams,et al.  Steps on surfaces: experiment and theory , 1999 .

[6]  Thomas Ihle,et al.  EQUILIBRIUM STEP DYNAMICS ON VICINAL SURFACES REVISITED , 1998 .

[7]  T. Einstein,et al.  Unified view of step-edge kinetics and fluctuations , 1998 .

[8]  Rony Granek,et al.  From Semi-Flexible Polymers to Membranes: Anomalous Diffusion and Reptation , 1997 .

[9]  T. Einstein,et al.  Brownian motion and shape fluctuations of single-layer adatom and vacancy clusters on surfaces: Theory and simulations. , 1996, Physical review. B, Condensed matter.

[10]  Wilhelm,et al.  Radial Distribution Function of Semiflexible Polymers. , 1996, Physical review letters.

[11]  N. Bartelt,et al.  Diffusion of monolayer adatom and vacancy clusters: Langevin analysis and Monte Carlo simulations of their Brownian motion. , 1995, Physical review letters.

[12]  G. Uhlenbeck,et al.  On the Theory of the Brownian Motion II , 1945 .