Abstract
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.
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