Numerical approach to unbiased and driven generalized elastic model

Ghasemi Nezhadhaghighi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1063/1.4858425
  3. Abstract:
  4. From scaling arguments and numerical simulations, we investigate the properties of the generalized elastic model (GEM) that is used to describe various physical systems such as polymers, membranes, single-file systems, or rough interfaces. We compare analytical and numerical results for the subdiffusion exponent β characterizing the growth of the mean squared displacement 〈 (δh)(2)〉 of the field h described by the GEM dynamic equation. We study the scaling properties of the qth order moments 〈 {divides}δh{divides}(q)〉 with time, finding that the interface fluctuations show no intermittent behavior. We also investigate the ergodic properties of the process h in terms of the ergodicity breaking parameter and the distribution of the time averaged mean squared displacement. Finally, we study numerically the driven GEM with a constant, localized perturbation and extract the characteristics of the average drift for a tagged probe
  5. Keywords:
  6. polymer ; Chemical model ; Chemistry ; Computer simulation ; Statistics ; Diffusion ; Models, Chemical ; Polymers ; Stochastic Processes
  7. Source: The Journal of chemical physics ; Vol. 140, Issue. 2 , 2014 , pp. 24106- ; ISSN: 0021-9606
  8. URL: http://scitation.aip.org/content/aip/journal/jcp/140/2/10.1063/1.4858425