@article{10902/33782,
year = {2024},
month = {1},
url = {https://hdl.handle.net/10902/33782},
abstract = {The scaling behavior of the excited energy states of the directed polymer in random media is analyzed numerically. We find that the spatial correlations of polymer energies scale as ∼k-ð for small enough wave numbers k with a nontrivial exponent ð≈1.3. The equivalence between the stochastic-field equation that describes the partition function of the directed polymer and that governing the time evolution of infinitesimal perturbations in space-time chaos is exploited to connect this exponent ð with the spatial correlations of the Lyapunov vectors reported in the literature. The relevance of our results for other problems involving optimization in random systems is discussed.},
organization = {This work was supported by Grant No. PID2021-125543NB-I00 funded by MCIN/AEI/10.13039/
501100011033/and by ERDF “A way of making Europe” by the European Union. E.R. acknowledges support from Margarita Salas postdoctoral program from Universidad Carlos III
Madrid.},
publisher = {American Physical Society},
publisher = {Physical Review E, 2024, 109(1), L012102},
title = {Lyapunov vectors and excited energy states of the directed polymer in random media},
author = {López Martín, Juan Manuel and Rodríguez Fernández, Enrique},
}