Landau-Ginzburg $\phi^4$ field theory is usually applied to systems for understanding continuous phase transitions at critical points. Here we analyze the thermal using a similar free energy description from statistical perspective, and study fluctuations in such with particular focus on realizing Casimir effect. Initially, qualitatively describe emergence of Casimir-like effect mean-field appr...

The Mpemba effect occurs when two samples at different initial temperatures evolve in such a way that the cross each other during relaxation toward equilibrium. In this paper, we show emergence of Mpemba-like molecular binary mixture contact with thermal reservoir (bath). interaction between gaseous particles and is modeled via viscous drag force plus stochastic Langevin-like term. presence ext...