Volume 137, Number 4, February 2022
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||20 April 2022|
Non-trivial overlaps and ultrametricity for directed polymers in random media
Institut für Physik, Universität Oldenburg - 26111 Oldenburg, Germany
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.