We investigate the finite size corrections to the equilibrium magnetization of an Ising model on a random graph with N nodes and Nγ edges, with 1γ≤2. By conveniently rescaling the coupling constant, the free energy is made extensive. As expected, the system displays a phase transition of the...

We derive an expression which relates fluctuations in particle number, in the thermodynamic limit with fluctuations within a sub-region of an N-particle, three-dimensional, simple fluid. The accuracy of our result is tested against simulation results for a three-dimensional, hard-sphere fluid at...

We derive an expression which relates fluctuations in particle number, in the thermodynamic limit with fluctuations within a sub-region of an N-particle, two-dimensional, simple fluid. The accuracy of our result is tested against simulation results for a two-dimensional, hard-sphere fluid at a...

When confining vacuum fluctuations between two identical walls, the Casimir force manifests itself as a mutual attraction of the walls. When confining concentration fluctuations of a binary liquid mixture, an analogous force should exist near the critical temperature TC; it is called the critical...

In their comment to the paper “Theory of the evaporation/condensation transition of equilibrium droplets in finite volumes” [Physica A 319 (2003) 99], Biskup et al. claim that in finite systems at fixed density “the physical significance of the conjugate thermodynamic variable is of...