Exact time-dependent correlation functions for the symmetric exclusion process with open boundary.

As a simple model for single-file diffusion of hard core particles we investigate the one-dimensional symmetric exclusion process. We consider an open semi-infinite system where one end is coupled to an external reservoir of constant density rho(*) and which initially is in a nonequilibrium state with bulk density rho(0). We calculate the exact time-dependent two-point density correlation function C(k,l)(t) identical with- and the mean and variance of the integrated average net flux of particles N(t)-N(0) that have entered (or left) the system up to time t. We find that the boundary region of the semi-infinite relaxing system is in a state similar to the bulk state of a finite stationary system driven by a boundary gradient. The symmetric exclusion model provides a rare example where such behavior can be proved rigorously on the level of equal-time two-point correlation functions. Some implications for the relaxational dynamics of entangled polymers and for single-file diffusion in colloidal systems are discussed.

• Publication year

  2001

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2001-04-09

• Fields of study

  Medicine, Physics, Mathematics

• Identifiers
  DOI 10.1103/PhysRevE.64.036107arXiv cond-mat/0104147PMID 11580394
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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