We define a first-order phase transition as a bimodality of the event distribution in the space of observations and we show that this is equivalent to a curvature anomaly of the thermodynamical potential and that it implies the Yang Lee behavior of the zeroes of the partition sum. Moreover, it...

Using a straightforward extension of the Onsager-theory for hard rods, we consider the thermodynamic stability of the isotropic (I) and nematic (N) phase of binary mixtures of thick and thin hard rods of the same length. We show that such mixtures not only exhibit the expected I–N ordering...

We propose a generalized car parking problem where either a car of size σ or of size mσ (m1) is sequentially parked on a line with probability q and (1−q), respectively. The free parameter q interpolates between the classical car parking problem at either extreme (q=0 and 1) and the...

In this work we report theoretical and numerical results on convection in a viscoelastic binary mixture under rotation for realistic rigid–rigid boundary conditions. We focus our analysis in the DNA aqueous suspensions. Instability thresholds for oscillatory convection are calculated. Finally,...

In this work we report theoretical and numerical results on convection for a binary magnetic mixture under rotation. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system for stationary convection. Finally, we analyze the stabilizing effect of...

Results of new measurements of the temperature dependence of the liquid-liquid interfacial tension σ of the system cyclohexane/aniline are reported. The system specific value of the critical amplitude σ0 of the interfacial tension has a value of σ0 = 38.5 mN m−1. It is combined with the...

Structures in the binary mixtures of model charged colloidal particles resembling axial multipoles confined to a two-dimensional plane have been studied with special attention to clustering, using hypernetted chain integral equation theory. The multipolar symmetric axes of the particles are...

We derive balance laws and constitutive relations for a binary granular mixture with unequal granular temperature. The complete pair distribution function for two colliding spheres was assumed as the product of Maxwellian velocity distribution for each species. The constitutive relations...

The paper aims at a molecular understanding of thermodiffusion (the Ludwig–Soret effect) in a liquid binary mixture. To this end, we first review the capabilities of the Maxwell–Stefan description of interdiffusion, which in a liquid rests upon the use of a thermodynamic force. The latter is...

Thermal convection in binary fluids with Oldroyd viscoelastic properties is studied close to threshold. The role of retardation time, characteristic of viscoelastic fluids, and Soret effect, characteristic of binary fluids, is emphasized. A weakly nonlinear analysis is performed for stationary...