| Issue |
EPL
Volume 137, Number 4, February 2022
|
|
|---|---|---|
| Article Number | 41002 | |
| Number of page(s) | 7 | |
| Section | Statistical physics and networks | |
| DOI | https://doi.org/10.1209/0295-5075/ac5226 | |
| Published online | 20 April 2022 | |
Non-trivial overlaps and ultrametricity for directed polymers in random media
Institut für Physik, Universität Oldenburg - 26111 Oldenburg, Germany
(a) a.hartmann@uni-oldenburg.de (corresponding author)
Received: 4 October 2021
Accepted: 4 February 2022
Directed polymers on (1+1)-dimensional lattices coupled to a heat bath at temperature T are studied numerically for three new ensembles of the site disorder, plus a standard random ensemble. In particular correlations of the disorder as well as fractal patterning are considered for the new ensembles. Configurations are directly sampled in perfect thermal equilibrium for very large system sizes with up to 
sites. The phase-space structure is studied via the distribution of overlaps and hierarchical clustering of configurations. Two ensembles show a simple behavior basically like a ferromagnet. The other two ensembles exhibit indications for complex behavior strongly reminiscent of multiple replica-symmetry breaking (RSB). Also results for the ultrametricity of the phase space are presented. In total, the present model ensembles offer convenient numerical accesses to comprehensively studying complex behavior.
© 2022 EPLA
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