AI 中文总结
该研究在六重驱动的二维电子流体中识别出完整运动学零点，利用对称性排除相关表示，在特定条件下实现局部耗散消失且保留有限动力学模式，可用于拟合有效参数。
AI 中文摘要
我们在受六重边界图案驱动的二维电子流体中识别出一个完整的运动学零点。在D₁₂的U₃±通道中，器件对称性排除了矢量表示R₁和完整的一阶梯度张量R₁⊗R₁。因此在对称固定中心处，j(0)=0且∂ᵢjⱼ(0)=0，由建模的电荷/动量场通过一阶梯度构建的每个局部二次耗散形式都独立于本构系数而消失。在O(2)各向同性角谐波动力学模型中，第一个允许的局部扇区为m=3。当νq²/γ₃≪1时，其加热由先前推导的系数κ₄=v_F⁴/(16γ₂²γ₃)设定。一个显式不可压缩斯托克斯圆盘实现了非零中心信号，而有限动量动力学边值解趋近于对应的局部基准。在局部、固定电流动量守恒的斯托克斯区域内，归一化磁响应可拟合得到有效γ₃和γ₂。因此六重驱动创造了一个测量点，此处普通局部电荷/动量流体动力学耗散缺失，而动力学模式仍保持有限。
英文摘要
We identify a complete kinematic null in a two-dimensional electron fluid driven by a sixfold boundary pattern. In the $U_3^\pm$ channel of $D_{12}$, device symmetry excludes both the vector representation $R_1$ and the full first-gradient tensor $R_1\otimes R_1$. Hence at the symmetry-fixed center $\mathbf{j}(0)=0$ and $\partial_i j_j(0)=0$, so every local quadratic dissipative form built from the modeled charge/momentum field through first gradient order vanishes independently of the constitutive coefficients. In an $O(2)$-isotropic angular-harmonic kinetic model the first allowed local sector is $m=3$. For $νq^2/γ_3\ll1$, its heating is set by the previously derived coefficient $κ_4=v_F^4/(16γ_2^2γ_3)$. An explicit incompressible Stokes disk realizes a nonzero center signal, and a finite-moment kinetic boundary-value solution approaches the corresponding local benchmark. Within the local, fixed-current momentum-conserving Stokes regime, the normalized magnetic response can then be fitted for effective $γ_3$ and $γ_2$. Thus the sixfold drive creates a measurement point where ordinary local charge/momentum hydrodynamic dissipation is absent while a kinetic mode remains finite.
Comments13 pages total; 3 main-text figures; Supplemental Material included in the same PDF
