Abstract: In this talk we propose a stochastic interpretation of a recently established Hardy inequality in twisted tubes. Roughly speaking, we show that Brownian particles in an infinite three-dimensional tube of uniform cross-section and absorbing boundary conditions die in a sense more easily if the tube is twisted. This is far from being obvious since the average exit time of the Brownian particle is the same in twisted and untwisted tubes. More precisely, we study the asymptotic behaviour of solutions of the heat equation in twisted tubes and prove that the geometric deformation of twisting yields an improved decay rate for the heat semigroup. This is a joint work with Enrique Zuazua.