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In the context of non-critical Liouville strings, we clarify why we expectnon-quantum-mechanical dissipative effects to be of order E^2/M_P, where E is atypical energy scale of the probe, and M_P is the Planck scale. In Liouvillestrings, energy is conserved {\it at best} only as a statistical average, asdistinct from Lindblad systems, where it is {\it strictly} conserved at anoperator level, and the magnitude of dissipative effects could only be muchsmaller. We also emphasize the importance of nonlinear terms in the evolutionequation for the density matrix, which are important for any analysis ofcomplete positivity.Comment: 16 pages LaTeX, 1 eps figur

How large are dissipative effects in noncritical Liouville string theory?