Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state
  diagrams   This paper is the fourth in a series devoted to identifying and explaining
the properties of strongly correlating liquids, i.e., liquids where virial and
potential energy correlate better than 90% in their thermal equilibrium
fluctuations in the NVT ensemble. For such liquids we here introduce the
concept of "isomorphic" curves in the state diagram. A number of thermodynamic,
static, and dynamic isomorph invariants are identified. These include the
excess entropy, the isochoric specific heat, reduced-unit static and dynamic
correlation functions, as well as reduced-unit transport coefficients. The
dynamic invariants apply for both Newtonian and Brownian dynamics. It is shown
that after a jump between isomorphic state points the system is instantaneously
in thermal equilibrium; consequences of this for generic aging experiments are
discussed. Selected isomorph predictions are validated by computer simulations
of the Kob-Andersen binary Lennard-Jones mixture, which is a strongly
correlating liquid. The final section of the paper relates the isomorph concept
to phenomenological melting rules, Rosenfeld's excess entropy scaling, Young
and Andersen's approximate scaling principle, and the two-order parameter maps
of Debenedetti and coworkers. This section also shows how the existence of
isomorphs implies an "isomorph filter" for theories for the non-Arrhenius
temperature dependence of viscous liquids' relaxation time, as well as explains
isochronal superposition for strongly correlating viscous liquids.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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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: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat