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Stochastic Collision Theory of Magnetism in Radical Fluids
Yoshiaki Uchida1, Ryohei Kishi1
1Graduate School of Engineering Science, The University of Osaka, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan.
Abstract:
How stochastic, microscopic events generate deterministic, macroscopic properties is a fundamental question in physics. We address this question by developing a quantum master equation model for concentrated radical solutions, in which stochastic molecular collisions govern the magnetic response of the system. The model implies that the first-order exchange contribution averages to zero over collisions, while the second-order term survives as an effective ferromagnetic coupling that enhances magnetization. The results are consistent with experimental trends in magnetic response that are not explained by conventional theories. The statistical-averaging origin of the mechanism suggests possible extensions to other soft-matter settings, including liquid crystals.
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