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the case (Formula presented) there are two different walls: the one discussed in the text and another one at a smaller value, at (Formula presented). As (Formula presented) goes to 0 this second wall goes to (Formula presented). By performing a change of variables (Formula presented) and (Formula presented), the Langevin equation for (Formula presented) has a noise amplitude proportional to (Formula presented). Even if the noise amplitude is proportional to the square root of the field, the critical phenomena associated at this NIDT are not expected to be related to the Reggeon field theory (RFT) and directed percolation 25. This is because this second wall, in spite of having a RFT-like noise, is not truly absorbing, i.e., the dynamics does not cease even for a flat configuration at (Formula presented)
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In the case (Formula presented) there are two different walls: the one discussed in the text and another one at a smaller value, at (Formula presented). As (Formula presented) goes to 0 this second wall goes to (Formula presented). By performing a change of variables (Formula presented) and (Formula presented), the Langevin equation for (Formula presented) has a noise amplitude proportional to (Formula presented). Even if the noise amplitude is proportional to the square root of the field, the critical phenomena associated at this NIDT are not expected to be related to the Reggeon field theory (RFT) and directed percolation 25. This is because this second wall, in spite of having a RFT-like noise, is not truly absorbing, i.e., the dynamics does not cease even for a flat configuration at (Formula presented).
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