The temperature dependence of the static contact angle could a priori be predicted by using surface tension partitioning. An original model based on transition state theory is also introduced. This considers thermocapillary fluctuations droplet near triple line and self-affine pinning this against solid substrate modeled with pseudo-periodic distribution adsorption sites. was studied for repres...

This note presents the explicit form of the Laplace transform of the state transition matrix in the case of a system matrix being a companion matrix. Starting from this special case, we show how to compute the Laplace transform of the state transition matrix for any system matrix.1