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J Chem Phys. 2020 Mar 21;152(11):111101. doi: 10.1063/1.5141059.

Remnants of the disappearing critical point in chain-forming patchy fluids.

The Journal of chemical physics

Daniel Stopper, Hendrik Hansen-Goos, Roland Roth, Robert Evans

Affiliations

  1. Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
  2. H. H. Wills Physics Laboratory, University of Bristol, Royal Fort, Bristol BS8 ITL, United Kingdom.

PMID: 32199408 DOI: 10.1063/1.5141059

Abstract

For a standard model of patchy colloidal fluids with patch number M = 2, where chain formation (polymerization) occurs, we show that Wertheim theory predicts critical behavior at vanishing density and temperature. The analysis is based on determining lines in the phase diagram of maximal correlation length and compressibility. Simulation studies identify the latter line and confirm our prediction of Fisher-Widom crossover, i.e., the asymptotic decay of the pair correlation function changes from monotonic to damped oscillatory as the density is increased. For M > 2, it is known that phase separation occurs with a true critical point. Our results support the notion that a "disappearing" critical point occurs in the limit M = 2 and we uncover its remnants.

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