Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Studies of the Lennard-Jones fluid in 2, 3, and 4 dimensions highlight
  the need for a liquid-state 1/d expansion   The recent theoretical prediction by Maimbourg and Kurchan [arXiv:1603.05023]
that for regular pair-potential systems the virial potential-energy correlation
coefficient increases towards unity as the dimension $d$ goes to infinity is
investigated for the standard 12-6 Lennard-Jones fluid. This is done by
computer simulations for $d=2,3,4$ going from the critical point along the
critical isotherm/isochore to higher density/temperature. In all cases the
virial potential-energy correlation coefficient increases significantly. For a
given density and temperature relative to the critical point, with increasing
number of dimension the Lennard-Jones system conforms better to the
hidden-scale-invariance property characterized by high virial potential-energy
correlations (a property that leads to the existence of isomorphs in the
thermodynamic phase diagram, implying that it becomes effectively
one-dimensional in regard to structure and dynamics). The present paper also
gives the first numerical demonstration of isomorph invariance of structure and
dynamics in four dimensions. Our findings emphasize the need for a universally
applicable $1/d$ expansion in liquid-state theory; we conjecture that the
systems known to obey hidden scale invariance in three dimensions are those for
which the yet-to-be-developed $1/d$ expansion converges rapidly.

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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
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The categories of this paper are: econ
2
The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess