Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directed Ratchet Transport in Granular Crystals   Directed-ratchet transport (DRT) in a one-dimensional lattice of spherical
beads, which serves as a prototype for granular crystals, is investigated. We
consider a system where the trajectory of the central bead is prescribed by a
biharmonic forcing function with broken time-reversal symmetry. By comparing
the mean integrated force of beads equidistant from the forcing bead, two
distinct types of directed transport can be observed ---spatial and temporal
DRT. Based on the value of the frequency of the forcing function relative to
the cutoff frequency, the system can be categorized by the presence and
magnitude of each type of DRT. Furthermore, we investigate and quantify how
varying additional parameters such as the biharmonic weight affects DRT
velocity and magnitude. Finally, friction is introduced into the system and is
found to significantly inhibit spatial DRT. In fact, for sufficiently low
forcing frequencies, the friction may even induce a switching of the DRT
direction.

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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin