Abstract

The radical pair model of the avian magnetoreceptor relies on long-lived electron spin coherence. Dephasing, resulting from interactions of the spins with their fluctuating environment, is generally assumed to degrade the sensitivity of this compass to the direction of the Earth's magnetic field. Here we argue that certain spin relaxation mechanisms can enhance its performance. We focus on the flavin–tryptophan radical pair in cryptochrome, currently the only candidate magnetoreceptor molecule. Correlation functions for fluctuations in the distance between the two radicals in Arabidopsis thaliana cryptochrome 1 were obtained from molecular dynamics (MD) simulations and used to calculate the spin relaxation caused by modulation of the exchange and dipolar interactions. We find that intermediate spin relaxation rates afford substantial enhancements in the sensitivity of the reaction yields to an Earth-strength magnetic field. Supported by calculations using toy radical pair models, we argue that these enhancements could be consistent with the molecular dynamics and magnetic interactions in avian cryptochromes.

Highlights

  • The rates and yields of free radical reactions are often sensitive to applied magnetic fields, a phenomenon known as the radical pair mechanism [1, 2]

  • Correlation functions for fluctuations in the distance between the two radicals in Arabidopsis thaliana cryptochrome 1 were obtained from molecular dynamics (MD) simulations and used to calculate the spin relaxation caused by modulation of the exchange and dipolar interactions

  • Our experience with toy models suggests that any benefit arising from the condition kT kS only accrues when the average exchange and/or dipolar interactions are stronger than the effective hyperfine interactions in both radicals, viz

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Summary

June 2016

The radical pair model of the avian magnetoreceptor relies on long-lived electron spin coherence. The work, journal citation Dephasing, resulting from interactions of the spins with their fluctuating environment, is generally and DOI. We argue that certain spin relaxation mechanisms can enhance its performance. Correlation functions for fluctuations in the distance between the two radicals in Arabidopsis thaliana cryptochrome 1 were obtained from molecular dynamics (MD) simulations and used to calculate the spin relaxation caused by modulation of the exchange and dipolar interactions. We find that intermediate spin relaxation rates afford substantial enhancements in the sensitivity of the reaction yields to an Earth-strength magnetic field. Supported by calculations using toy radical pair models, we argue that these enhancements could be consistent with the molecular dynamics and magnetic interactions in avian cryptochromes

Introduction
J-modulation by fluctuations in r
J-modulation by electron hopping
J-modulation in cryptochrome
Discussion
Asymmetric recombination rates
Conclusions
Full Text
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