Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instantons for the destabilization of the inner Solar System   For rare events, path probabilities often concentrate close to a predictable
path, called instanton. First developed in statistical physics and field
theory, instantons are action minimizers in a path integral representation. For
chaotic deterministic systems, where no such action is known, shall we expect
path probabilities to concentrate close to an instanton? We address this
question for the dynamics of the terrestrial bodies of the Solar System. It is
known that the destabilization of the inner Solar System might occur with a low
probability, within a few hundred million years, or billion years, through a
resonance between the motions of Mercury and Jupiter perihelia. In a simple
deterministic model of Mercury dynamics, we show that the first exit time of
such a resonance can be computed. We predict the related instanton and
demonstrate that path probabilities actually concentrate close to this
instanton, for events which occur within a few hundred million years. We
discuss the possible implications for the actual Solar System.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex