Theoretical study on the translation and rotation of an elliptic camphor particle

Mathematical model for self-propelled droplets driven by interfacial tension

“…In particular, droplet shape deformations are not negligible, since the coupling between the shape and motion plays an important role in the self-motion of the droplet as has been reported in previous works. 17,18,[20][21][22][23][24][25] Several studies have already been made for the modeling of a deformable self-propelled droplet. [26][27][28][29][30][31][32][33] However, in the case of multiple droplets, the individual volumes are not precisely maintained in these models; hence the droplets exchange mass.…”

A hybrid camphor–camphene wax material for studies on self-propelled motion

“…3,12 For non-radially symmetric camphor particles the motion can be very complex and combines translation with rotation. [13][14][15] However, it is not easy to make camphor pieces of defined shape at room temperature, at which experiments are usually performed. Purified camphor is granular in form and a few techniques are available to transform the camphor grains into shaped objects.…”

Interaction of non-radially symmetric camphor particles

“…Recently, a camphor particle floating on water was considered and the occurrence of spontaneous motions of a camphor particle was reported theoretically and experimentally [8,9,10,11,12,13,14,15,16,17,18]. Among them, radially symmetric camphor particles have been mainly treated and it was shown that the spontaneous motion can occur due to the symmetry breaking of the profile of dissolved camphor molecules at the water surface even if the camphor particle is radially symmetric.…”

“…It was reported that for an elliptic camphor particle the spontaneous traveling motion in the minor-axis direction primarily appears both theoretically and numerically (e.g. [14,15]). They also investigated various parameter sets numerically and checked what kind of behaviors, such as a traveling motion, self-rotating motion, and so on, appear in each parameter region.…”

“…For a single camphor particle with elliptic shape, the model equation was originally proposed in [15] as follows:…”