A simple link of information entropy of quantum systems with Newtonian r−2 dependence of Verlinde’s entropic force

C.P. Panos and Ch.C. Moustakidis

Physica A: Statistical Mechanics and its Applications, 2019, vol. 518, issue C, 384-389

Abstract: It is shown that the entropic force formula Fe=−λ∂S∕∂A leads to a Newtonian r−2 dependence. Here we employ the universal property of the information entropy S=a+blnN (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 3He 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 (Verlide, 2011) that gravity is an emergent entropic force.

Keywords: Information entropy; Entropic force; Quantum systems; Newtonian gravity (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:518:y:2019:i:c:p:384-389

DOI: 10.1016/j.physa.2018.12.018

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