Non existence of a phase transition for the Penetrable Square Wells in one dimension

Abstract

Penetrable Square Wells in one dimension were introduced for the first time in [A. Santos et. al., Phys. Rev. E, 77, 051206 (2008)] as a paradigm for ultra-soft colloids. Using the Kastner, Schreiber, and Schnetz theorem [M. Kastner, Rev. Mod. Phys., 80, 167 (2008)] we give strong evidence for the absence of any phase transition for this model. The argument can be generalized to a large class of model fluids and complements the van Hove's theorem.

14 pages, 7 figures, 1 table

References in corpus (5)

• Phase transitions and configuration space topology
• Phase transitions induced by saddle points of vanishing curvature
• Penetrable Square-Well fluids: Exact results in one dimension
• Penetrable-Square-Well fluids: Analytical study and Monte Carlo simulations
• A Numerical Test of a High-Penetrability Approximation for the One-Dimensional Penetrable-Square-Well Model

Cited by in corpus (5)

• Phase diagram of the penetrable square well-model
• A Numerical Test of a High-Penetrability Approximation for the One-Dimensional Penetrable-Square-Well Model
• One-dimensional fluids with second nearest-neighbor interactions
• Monte Carlo simulation of Hard-, Square-Well, and Square-Shoulder Disks in narrow channels
• Finite-size effects and thermodynamic limit in one-dimensional Janus fluids