Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Driving-induced stability with long-range effects   We give a sufficient condition under which an applied rotation on medium
particles stabilizes a slow probe in the rotation center. The symmetric part of
the stiffness matrix thus gets a positive Lamb shift with respect to
equilibrium. For illustration we take diffusive medium particles with a
self-potential in the shape of a Mexican hat, high around the origin. There is
a short-range attraction between the medium particles and the heavier probe,
all immersed in an equilibrium thermal bath. For no or small rotation force on
the medium particles, the origin is an unstable fixed point for the probe and
the precise shape of the self-potential at large distances from the origin is
irrelevant for the statistical force there. Above a certain rotation threshold,
while the medium particles are still repelled from the origin, the probe
stabilizes there and more details of the medium-density at large distance start
to matter. The effect is robust around the quasi-static limit with rotation
threshold only weakly depending on the temperature but the stabilization gets
stronger at lower temperatures.

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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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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: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an