content_image/360795.jpg
<img src='content_image/360795.jpg'>

weight. In fact one can show that for two cells connected by smooth and tight junction characterized by parameter h , (1 / 2 − χ$_{2}$ ) ∝ h 2 when h → 0, or more precisely (1 / 2 − χ$_{2}$ ) is proportional with the solid angle encompassed by the missing part of a cell when it is connected with other cell in the dimer. The proof is based on the theorem of the solid angle [12]. The generalization to a finite cluster is also straightforward to (1 / 2 − χ$_{2}$ ) ∝ h $^{2}$/m (in that case the solid angle encompassed by the middle junction is proportional to h $^{2}$/m . The weight of the second eigenmode is P$_{2}$$_{,}$$_{1}$ = 〈 x · N$_{1}$ | u$_{2}$ 〉〈 v$_{2}$ | n · N$_{1}$ 〉 /V$_{1}$ . If we consider that the surface of the cluster is determined by the function g ( z ) then, up to a constant factor, 〈 v$_{2}$ | n · N$_{1}$ 〉 ≈ g (0) 2 = h 2 for two cells connected by smooth and tight junctions. The proof considers that the second eigenfunction of M † is an antisymmetric combination of constant distributions on each part of the dimer. This assertion is confirmed in Figure 7. Moreover, 〈 x · N$_{1}$ | u$_{2}$ 〉 /V$_{1}$ is weakly dependent on h . Therefore, for a parallel setting of the field stimulus, P$_{2}$$_{,}$$_{1}$/ (1 / 2 − χ$_{2}$ ), which is the measure of the dielectric decrement of low-frequency relaxation, 

