磁爆燃的脉动状态
A pulsating regime of magnetic deflagration
摘要：
本文研究了分子磁体（如Mn_12-acetate）中磁爆燃前沿的稳定性。它表明，固定爆燃是不稳定的一维扰动，如果磁铁的能量势垒是足够高的比较，在前面的塞曼能量的释放;它们的比率可以解释为一个类似的Zeldovich数，发现在燃烧的问题。当Zeldovich数超过某个临界值时，静止的爆燃锋变得不稳定并以脉动方式传播。临界Zeldovich数的分析估计。线性阶段的不稳定性进行了研究数值求解的特征值问题。使用直接数值模拟的非线性阶段进行了研究。的脉动制度的实验观测所需的参数域进行了讨论。
英文摘要：
The stability of a magnetic deflagration front in a collection of molecular magnets, such as Mn_12-acetate, is considered. It is demonstrated that stationary deflagration is unstable with respect to one-dimensional perturbations if the energy barrier of the magnets is sufficiently high in comparison with the release of Zeeman energy at the front; their ratio may be interpreted as an analogue to the Zeldovich number, as found in problems of combustion. When the Zeldovich number exceeds a certain critical value, a stationary deflagration front becomes unstable and propagates in a pulsating regime. Analytical estimates for the critical Zeldovich number are obtained. The linear stage of the instability is investigated numerically by solving the eigenvalue problem. The nonlinear stage is studied using direct numerical simulations. The parameter domain required for experimental observations of the pulsating regime is discussed.
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