Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fisher Waves in the Diffusion-Limited Coalescence Process A+A<-->A   Fisher waves have been studied recently in the specific case of
diffusion-limited reversible coalescence, A+A<-->A, on the line. An exact
analysis of the particles concentration showed that waves propagate from a
stable region to an unstable region at constant speed, just as in Fisher's
"mean-field" theory; but also that the wave front fails to retain its initial
shape and instead it broadens with time. Our present analysis encompasses the
full hierarchy of multiple-point density correlation functions, and thus it
provides a complete exact description of the same system. We find that as the
wave propagates, the particles in the stable phase remain distributed exactly
as in their initial (equilibrium) state. On the other hand, the leading
particle---the one at the edge of the wave---advances as a biased random walk,
rather than simply linearly with time. Thus the shape of the wave remains
actually constant, but it is the "noisy" propagation of the wave's edge that
causes its apparent broadening.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex