Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 60: Critical Phenomena and Phase Transitions

DY 60.1: Talk

Friday, March 13, 2026, 09:30–09:45, ZEU/0114

Noise-driven transitions and dynamic restoration in a two-state model under stochastic fields — •Raul Toral¹, Sara Oliver-Bonafoux¹, and Amitabha Chakrabarti² — ¹IFISC, Institute for Cross-disciplinary Physics and Complex Systems, UIB-CSIC, Palma de Mallorca, Spain — ²Physics Department, Kansas State University, Manhattan, Kansas, USA

We study a two-state system influenced by both thermal fluctuations and stochastic external fields to explore how randomness affects non-equilibrium transitions and barrier-crossing dynamics. Using the Ising model in a heat bath as a minimal double-well prototype, we introduce spatially uniform, time-dependent random fields and analyze their impact on phase behavior.

The stochastic driving transforms the usual symmetry-breaking transition of the Ising model into a noise-induced transition between soft-paramagnetic and soft-ferromagnetic phases, where magnetization exhibits broad distributions and dynamical symmetry restoration between ferromagnetic states. For small field amplitudes, the transition coincides with the critical point of the undriven system, while at lower temperatures a genuine ferromagnetic phase emerges, marked by spontaneous state selection and diverging switching times.

These results reveal how stochastic forcing modifies phase behavior in bistable systems, providing new insights into noise-driven symmetry breaking and restoration.

Keywords: Noise-induced phase transitions; Stochastic fields; Symmetry breaking and restoration