Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-11-06
Physics
Condensed Matter
Statistical Mechanics
20 pages, 2 figures
Scientific paper
10.1088/0305-4470/33/6/301
We formulate directed percolation in (1+1) dimensions in the language of a reaction-diffusion process with exclusion taking place in one space dimension. We map the master equation that describes the dynamics of the system onto a quantum spin chain problem. From there we build an interacting fermionic field theory of a new type. We study the resulting theory using renormalization group techniques. This yields numerical estimates for the critical exponents and provides a new alternative analytic systematic procedure to study low-dimensional directed percolation.
Brunel V.
Oerding Klaus
Wijland van F.
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