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Thermodynamic crossovers in supercritical fluids

Xinyang Li, Yuliang Jin

2024Proceedings of the National Academy of Sciences20 citationsDOIOpen Access PDF

Abstract

Can liquid-like and gas-like states be distinguished beyond the critical point, where the liquid-gas phase transition no longer exists and conventionally only a single supercritical fluid phase is defined? Recent experiments and simulations report strong evidence of dynamical crossovers above the critical temperature and pressure. Despite using different criteria, many existing theoretical explanations consider a single crossover line separating liquid-like and gas-like states in the supercritical fluid phase. We argue that such a single-line scenario is inconsistent with the supercritical behavior of the Ising model, which has two crossover lines due to its symmetry, violating the universality principle of critical phenomena. To reconcile the inconsistency, we define two thermodynamic crossover lines in supercritical fluids as boundaries of liquid-like, indistinguishable, and gas-like states. Near the critical point, the two crossover lines follow critical scalings with exponents of the Ising universality class, supported by calculations of theoretical models and analyses of experimental data from the standard database. The upper line agrees with crossovers independently estimated from the inelastic X-ray scattering data of supercritical argon, and from the small-angle neutron scattering data of supercritical carbon dioxide. The lower line is verified by the equation of states for the compressibility factor. This work provides a fundamental framework for understanding supercritical physics in general phase transitions.

Topics & Concepts

Supercritical fluidCritical point (mathematics)Critical lineCrossoverUniversality (dynamical systems)PhysicsIsing modelStatistical physicsCritical exponentCompressibilityPhase transitionCritical phenomenaCondensed matter physicsThermodynamicsMathematicsMathematical analysisComputer scienceArtificial intelligencePhase Equilibria and ThermodynamicsMaterial Dynamics and PropertiesTheoretical and Computational Physics
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