Thermodynamic Curvature of the Binary van der Waals Fluid
George Ruppeiner, Alex Seftas
Abstract
The thermodynamic Ricci curvature scalar R has been applied in a number of contexts, mostly for systems characterized by 2D thermodynamic geometries. Calculations of R in thermodynamic geometries of dimension three or greater have been very few, especially in the fluid regime. In this paper, we calculate R for two examples involving binary fluid mixtures: a binary mixture of a van der Waals (vdW) fluid with only repulsive interactions, and a binary vdW mixture with attractive interactions added. In both of these examples, we evaluate R for full 3D thermodynamic geometries. Our finding is that basic physical patterns found for R in the pure fluid are reproduced to a large extent for the binary fluid.
Topics & Concepts
van der Waals forceBinary numberThermodynamicsCurvatureVan der Waals equationPhysicsVan der Waals radiusThermodynamic stateCompressibilityTheorem of corresponding statesThermodynamic betaClassical mechanicsStatistical physicsScalar (mathematics)Scalar curvatureThermodynamic equationsMaterials scienceThermodynamic processThermodynamic limitLennard-Jones potentialGeometric Analysis and Curvature FlowsFluid dynamics and aerodynamics studiesBlack Holes and Theoretical Physics