Amplification of Magnetic Field Effects via Critical Dynamics in a Nonlinear Oscillatory System

Abstract

Weak magnetic fields are known to modulate circadian rhythms in living systems, yet the chemical basis of their influence on oscillatory dynamics remains unresolved. This is a paradox given the negligible energies of the magnetic interactions (∼10−2 kJ mol−1 T−1) relative to thermal noise. Using the Briggs-Rauscher reaction as a model system, we show that applied magnetic fields (0-200 mT) induce an unprecedented amplification of oscillatory behavior via critical dynamics close to a Hopf bifurcation, driving 12% enhancement in reaction rate while 1500% enhancement in oscillation amplitudes of key intermediates (Mn2+ and I−). Simulations using the de Kepper-Epstein model for the inherent non-linearity of feedback-driven oscillations reveal that magnetic field effects perturb bifurcation thresholds, magnifying even subtle changes in spin-selective radical recombination rates. Our findings establish a mechanism for magnetic field modulation in oscillatory networks, resolving the energy paradox and positioning magnetic fields as a potent tool for manipulating non-equilibrium chemical and biological systems.