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We introduce an approximation specific to a continuous model for directedpercolation, which is strictly equivalent to 1+1 dimensional directed bondpercolation. We find that the critical exponent associated to the orderparameter (percolation probability) is beta=(1-1/\sqrt{5})/2=0.276393202..., inremarkable agreement with the best current numerical estimate beta=0.276486(8).Comment: 4 pages, 3 EPS figures; Submitted to Physical Review Letters v2:  minor typos + 1 major typo in Eq. (30) correcte

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Approximation for directed percolation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>

Approximation for directed percolation ind=1+1