Topologically quantized macroscopic attractor states in hydrated DNA

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1. Verfasser: Pietruszka, Mariusz
Format: Preprint
Veröffentlicht: 2026
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author Pietruszka, Mariusz
author_facet Pietruszka, Mariusz
contents Driven dissipative systems at ambient conditions typically exhibit continuous responses shaped by fluctuations and relaxation, with discrete macroscopic states arising only under specific dynamical constraints. Here, we report the emergence of discrete attractor states in a quasi-two-dimensional hydrated DNA sample under magnetic excitation. The transverse polarization voltage Vxy displays telegraph switching between well-defined levels, indicating stochastic transitions between metastable macroscopic states. Statistical analysis of the voltage time series reveals bimodal distributions and strong Bayesian model selection in favor of multiple coexisting states. These observations can be consistently interpreted within a phase-field framework in which a collective U(1) polarization phase organizes into integer-labeled winding sectors, with transitions mediated by phase-slip events. This framework gives rise to discrete voltage levels reflecting topologically distinct attractors of the driven system. The results suggest that macroscopic quantization can emerge in a classical system at ambient conditions as a consequence of dissipative dynamics constrained by phase topology.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26847
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Topologically quantized macroscopic attractor states in hydrated DNA
Pietruszka, Mariusz
Statistical Mechanics
Driven dissipative systems at ambient conditions typically exhibit continuous responses shaped by fluctuations and relaxation, with discrete macroscopic states arising only under specific dynamical constraints. Here, we report the emergence of discrete attractor states in a quasi-two-dimensional hydrated DNA sample under magnetic excitation. The transverse polarization voltage Vxy displays telegraph switching between well-defined levels, indicating stochastic transitions between metastable macroscopic states. Statistical analysis of the voltage time series reveals bimodal distributions and strong Bayesian model selection in favor of multiple coexisting states. These observations can be consistently interpreted within a phase-field framework in which a collective U(1) polarization phase organizes into integer-labeled winding sectors, with transitions mediated by phase-slip events. This framework gives rise to discrete voltage levels reflecting topologically distinct attractors of the driven system. The results suggest that macroscopic quantization can emerge in a classical system at ambient conditions as a consequence of dissipative dynamics constrained by phase topology.
title Topologically quantized macroscopic attractor states in hydrated DNA
topic Statistical Mechanics
url https://arxiv.org/abs/2603.26847