论文标题

生物 - 萨瓦特类型磁场通过质量理论,应用于符号动力学

Biot-Savart type magnetic field quantization via prime number theory, applications to symbolic dynamics

论文作者

Contoyiannis, Y., Papadopoulos, P., Matiadou, N. L., Potirakis, S. M.

论文摘要

在目前的工作中,我们根据质数理论提出了一种算法,以估计电流携带圆环设备中磁场的估计。使用所提出的算法,可以在基于生物 - 瓦尔特定律的算法中以非常好的一致性确定磁场。此外,基于数量的算法给出了量化磁场的量化值,并揭示了以前未知的行为,例如在量化的磁场值下等待时间的特殊特性。提出了基于数量的原始算法在表现出符号动力学的系统中的应用,证明了其能够衡量系统中动力学的存在或不提供量度的能力。

In the present work we propose an algorithm based on the theory of prime numbers for the estimation of the magnetic field in a device of current carrying circular rings. Using the proposed algorithm, the magnetic field can be determined in a very good agreement with that resulting from an algorithm based on the Biot-Savart law. In addition, the prime-numbers-based algorithm gives quantized values of the magnetic field and reveals previously unknown behaviors such as special properties of the distribution of the waiting times at the quantized magnetic field values. Applications of the proposed prime-numbers-based algorithm to systems exhibiting symbolic dynamics is presented, proving its ability to provide a measure of the existence or not of dynamics in the system.

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