Free energy and entropy for an impurity in a periodic background in one dimension

Authors

  • M. Bordag Institute for Theoretical Physics, Universität Leipzig, Leipzig, Germany
  • I. G. Pirozhenko 1 Institute for Theoretical Physics, Universität Leipzig, Leipzig, Germany; Bogoljubov Institute for Theoretical Physics, Joint Institute for Nuclear Research, JINR Dubna State University, Dubna, Moscow region, Russia

DOI:

https://doi.org/10.15421/332018

Keywords:

vacuum energy, Casimir effect, periodic lattice, impurity, free energy

Abstract

In this paper, we continue our study of periodic lattices formed by delta functions and their derivatives in (1+1) dimensions. Such systems are interesting as allowing for investigation of complicated problems in quite simple terms. Specifically, we consider the free energy of a single impurity in the background of such lattice. After developing the necessary technical tools, we consider as an example a specific case and found that the free energy shows a non monotone behavior as function of the temperature.

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Published

09-12-2020

Issue

Vol. 28 No. 2 (2020)

Section

Articles