For this, we refer to the alternative condition for Θ at x = −L/2 or x = L/2 derived in[28], which reads Equation (13) The condition (13) follows directly from the quasi-uniform solution, where at the interior of the sample Θ is constant and equal to zero, as well as its first derivative, thus fixing the constant that arises after integrating equation (11). This assumption is valid when the system is large enough by a few Δ magnitudes, which sets the characteristic length scale for the edge tilting [28]. Alternatively, in[28] the condition is justified when the system has sufficiently large anisotropy to avoid the formation of cycloids. Furthermore, we notice that the ratio of D and the DMI Study Materials critical magnitude ${D}_{c}=4\sqrt{{{AK}}_{{\rm{u}}}}/\pi $ is around 1.1, thus the constant arising from integrating equation (11) should tend to zero, as shown in[28]. This condition can also be seen as a significantly large cycloid period. If the length L of the system is increased the formation of cycloids would be favoured [44]. With the simplified evaluation of Θ at the boundary it is straightforward to apply the shooting method. An alternative calculation to obtain general solutions of Exam Dumps equations (11) and (12), as employed in[44], requires a more careful analysis of the boundary conditions. Depending on the chirality of the system, which can be observed from the simulations, we fix the condition ${\rm{\Theta }}(-L/2)=\arcsin (\mp {\rm{\Delta }}/\xi )$ and vary dΘ(−L/ 2)/dx until finding a solution that satisfies ${\rm{\Theta }}(L/2)\,=\arcsin (\pm {\rm{\Delta }}/\xi )$. The upper sign + refers to the interfacial case and the bottom sign—to the bulk .
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