The Landau-Khalatnikov (LK) simulation was used to study magnetoelectric (ME) coupling phenomena in a composite system of magneto-strictive CoFe₂O₄ (CF) and piezoelectric BaTiO₃ (BT) materials, CF-BT. By adding ME coupling term with coupling parameter $\gamma$, between polarization, $P$ and magnetization, $M$ of $\gamma P^2{M}^2$ in thermodynamic free energy density functional for LK simulation, the hysteretic ME coupling coefficients, ${\alpha }_{ME}\left(H\right)$ in CF-BT composite systems were well simulated and small changes of magnetic-field ($H$) dependent polarization, $P\left(H\right)$ were calculated. The maximum values of ${\alpha }_{ME}$ are proportional to $\gamma$ in the broad ranges of more than 7 orders of magnitude.

用Landau-Khalatnikov（LK）模拟研究磁致伸缩CoFe ₂ O ₄（CF）和压电BaTiO ₃（BT）材料CF-BT的复合系统中的磁电（ME）耦合现象。通过将ME耦合项与耦合参数相加$\gamma$在极化之间 $P$ 和磁化 $\mathrm{中号}$ 的 $\gamma P^2{\mathrm{中号}}^2$ 在LK模拟的热力学自由能密度函数中，磁滞ME耦合系数 ${\alpha }_{\mathrm{中号}Ë}（H）$ 在CF-BT复合系统中进行了很好的模拟并且磁场变化很小（$H$）依赖极化 $P（H）$被计算。的最大值${\alpha }_{\mathrm{中号}Ë}$ 与...成正比 $\gamma$ 范围超过7个数量级。