Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Family of Tunable Spherically-Symmetric Potentials that Span the Range
  from Hard Spheres to Water-like Behavior   We investigate the equation of state, diffusion coefficient, and structural
order of a family of spherically-symmetric potentials consisting of a hard core
and a linear repulsive ramp. This generic potential has two characteristic
length scales: the hard and soft core diameters. The family of potentials is
generated by varying their ratio, $\lambda$. We find negative thermal expansion
(thermodynamic anomaly) and an increase of the diffusion coefficient upon
isothermal compression (dynamic anomaly) for $0\leq\lambda<6/7$. As in water,
the regions where these anomalies occur are nested domes in the ($T, \rho$) or
($T, P$) planes, with the thermodynamic anomaly dome contained entirely within
the dynamic anomaly dome. We calculate translational and orientational order
parameters ($t$ and $Q_6$), and project equilibrium state points onto the ($t,
Q_6$) plane, or order map. The order map evolves from water-like behavior to
hard-sphere-like behavior upon varying $\lambda$ between 4/7 and 6/7. Thus, we
traverse the range of liquid behavior encompassed by hard spheres ($\lambda=1$)
and water-like ($\lambda\sim4/7$) with a family of tunable
spherically-symmetric potentials by simply varying the ratio of hard to
soft-core diameters. Although dynamic and thermodynamic anomalies occur almost
across the entire range $0\leq\lambda\leq1$, water-like structural anomalies
(i.e., decrease in both $t$ and $Q_6$ upon compression and strictly correlated
$t$ and $Q_6$ in the anomalous region) occur only around $\lambda=4/7$.
Water-like anomalies in structure, dynamics and thermodynamics arise solely due
to the existence of two length scales, orientation-dependent interactions being
absent by design.

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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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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: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: math-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: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: cs