非平衡定态下的经典轨道顺磁性
Classical orbital paramagnetism in non-equilibrium steady state
摘要：
本文报道了在非马尔可夫随机强迫作用下带电粒子经典耗散动力学的数值模拟结果。我们发现，该系统的发展中存在的静态磁场的稳态轨道磁矩。非常值得注意的是，轨道磁矩的符号是{ \it顺磁性}，因为我们选择的参数在很宽的范围内变化。这是特别示出的经典动力学的情况下驱动的库博-安德森型非马尔可夫噪声。自然空间边界条件是通过（1）一个软（谐波）约束势和（2）一个硬势来施加的，它近似于一个反射壁。没有明显的质的差异。这里注意到的轨道磁效应的关键似乎是所选驱动噪声的非马尔可夫特性。实验室规模上实现这种效果，其可能的影响进行了简要讨论。我们要强调的是，上述稳态经典轨道顺磁矩补充，而不是矛盾的玻尔-范列文（BvL）定理的经典轨道抗磁性的热力学平衡的缺乏。
英文摘要：
We report the results of our numerical simulation of classical-dissipative dynamics of a charged particle subjected to a non-markovian stochastic forcing. We find that the system develops a steady-state orbital magnetic moment in the presence of a static magnetic field. Very significantly, the sign of the orbital magnetic moment turns out to be {\it paramagnetic} for our choice of parameters, varied over a wide range. This is shown specifically for the case of classical dynamics driven by a Kubo-Anderson type non-markovian noise. Natural spatial boundary condition was imposed through (1) a soft (harmonic) confining potential, and (2) a hard potential, approximating a reflecting wall. There was no noticeable qualitative difference. What appears to be crucial to the orbital magnetic effect noticed here is the non-markovian property of the driving noise chosen. Experimental realization of this effect on the laboratory scale, and its possible implications are briefly discussed. We would like to emphasize that the above steady-state classical orbital paramagnetic moment complements, rather than contradicts the Bohr-van Leeuwen (BvL) theorem on the absence of classical orbital diamagnetism in thermodynamic equilibrium.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
