Volume 135, Number 2, July 2021
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||20 September 2021|
Peierls-Nabarro potential for a confined chain of hard spheres under compression
1 Department of Mathematics, Aberystwyth University - Penglais, Aberystwyth, Ceredigion, Wales, SY23 3BZ UK
2 School of Physics, Trinity College Dublin, The University of Dublin - Dublin, Ireland
Received: 10 May 2021
Accepted: 3 August 2021
Examples of bifurcation diagrams are presented for a chain of hard spheres under compression, which are confined by a transverse potential. The diagrams are modified in the presence of an axial force and show interesting topological rearrangements due to the reconnection of loci of different equilibrium solutions. The corresponding Peierls-Nabarro potential is defined and calculated for various values of compression. This relatively tractable and transparent system can illustrate in detail the general features of such a potential and its relation to experiment.
© 2021 The author(s)
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