Logarithmic Corrections in Directed Percolation

Details Logarithmic Corrections in Directed Percolation Logarithmic Corrections in Directed Percolation

2003-09-26

arxiv.org/abs/cond-mat/0309627v1

Phys. Rev. E 69, 016125 (2004)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 3 figures

Scientific paper

10.1103/PhysRevE.69.016125

We study directed percolation at the upper critical transverse dimension $d=4$, where critical fluctuations induce logarithmic corrections to the leading (mean-field) behavior. Viewing directed percolation as a kinetic process, we address the following properties of directed percolation clusters: the mass (the number of active sites or particles), the radius of gyration and the survival probability. Using renormalized dynamical field theory, we determine the leading and the next to leading logarithmic corrections for these quantities. In addition, we calculate the logarithmic corrections to the equation of state that describes the stationary homogeneous particle density in the presence of a homogeneous particle source.

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