eprintid: 10206014
rev_number: 9
eprint_status: archive
userid: 699
dir: disk0/10/20/60/14
datestamp: 2025-03-13 16:07:48
lastmod: 2025-03-13 16:07:48
status_changed: 2025-03-13 16:07:48
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Franz, Silvio
creators_name: Sclocchi, Antonio
creators_name: Urbani, Pierfrancesco
title: Critical energy landscape of linear soft spheres
ispublished: pub
divisions: UCL
divisions: B02
divisions: C08
divisions: D76
note: Copyright S. Franz et al.
This work is licensed under the Creative Commons
Attribution 4.0 International License.
Published by the SciPost Foundation.
abstract: We show that soft spheres interacting with a linear ramp potential when overcompressed beyond the jamming point fall in an amorphous solid phase which is critical, mechanically marginally stable and share many features with the jamming point itself. In the whole phase, the relevant local minima of the potential energy landscape display an isostatic contact network of perfectly touching spheres whose statistics is controlled by an infinite lengthscale. Excitations around such energy minima are non-linear, system spanning, and characterized by a set of non-trivial critical exponents. We perform numerical simulations to measure their values and show that, while they coincide, within numerical precision, with the critical exponents appearing at jamming, the nature of the corresponding excitations is richer. Therefore, linear soft spheres appear as a novel class of finite dimensional systems that self-organize into new, critical, marginally stable, states.
date: 2020-07-23
date_type: published
publisher: Stichting SciPost
official_url: https://doi.org/10.21468/scipostphys.9.1.012
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 2368994
doi: 10.21468/scipostphys.9.1.012
lyricists_name: Sclocchi, Antonio
lyricists_id: ASCLO36
actors_name: Sclocchi, Antonio
actors_id: ASCLO36
actors_role: owner
full_text_status: public
publication: SciPost Physics
volume: 9
number: 1
article_number: 012
issn: 2542-4653
citation:        Franz, Silvio;    Sclocchi, Antonio;    Urbani, Pierfrancesco;      (2020)    Critical energy landscape of linear soft spheres.                   SciPost Physics , 9  (1)    , Article 012.  10.21468/scipostphys.9.1.012 <https://doi.org/10.21468/scipostphys.9.1.012>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10206014/1/Sclocchi_SciPostPhys_9_1_012.pdf