Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kink dynamics with oscillating forces   It is well known that the dynamics of a one-dimensional dissipative system
driven by the Ginzburg-Landau free energy may be described in terms of
interacting kinks: two neighbouring kinks at distance $\ell$ feel an attractive
force $F(\ell)\approx\exp(-\ell)$. This result is typical of a bistable system
whose inhomogeneities have an energy cost due to surface tension, but for some
physical systems bending rigidity rather than surface tension plays a leading
role. We show that a kink dynamics is still applicable, but the force $F(\ell)$
is now oscillating, therefore producing configurations which are locally
stable. We also propose a new derivation of kink dynamics, which applies to a
generalized Ginzburg-Landau free energy with an arbitrary combination of
surface tension, bending energy, and higher-order terms. Our derivation is not
based on a specific multikink approximation and the resulting kink dynamics
reproduces correctly the full dynamics of the original model. This allows to
use our derivation with confidence in place of the continuum dynamics, reducing
simulation time by orders of magnitude.

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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg