Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple link of information entropy of quantum and classical systems
  with Newtonian $r^{-2}$ dependence of Verlinde's entropic force   It is shown that the entropic force formula $F_e=-\lambda\partial S/\partial
A$ leads to a Newtonian $r^{-2}$ dependence. Here we employ the universal
property of the information entropy $S=a+b\ln N$ ($N$ is the number of
particles of a quantum system and $A$ is the area containing the system). This
property was previously obtained for fermionic systems (atoms, atomic clusters,
nuclei and infinite Fermi systems i.e. electron gas, liquid $^3$He and nuclear
matter) and bosonic ones (correlated boson-atoms in a trap). A similar
dependence of the entropic force has been derived very recently by Plastino et
al with a Bose or Fermi gas entropy, inspired by Verlinde's
conjecture~\cite{Verlide-11} that gravity is an emergent entropic force.
Finally, we point out that our simple argument holds for classical systems as
well.

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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg