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Title: Tricritical points in multicomponent fluid mixtures

Abstract

We consider special critical points in multicomponent fluid mixtures, where critical phenomena occur between three phases simultaneously. We show that although such points may be the intersection of three lines of critical points, they are not in general analogous to the tricritical points originally proposed by Gr iffiths. Rather the three lines are part of a single surface of critical points and the special point occurs where the boundary of the surface of critical points is a maximum with respect to a particular variable selected experimentally (usually temperature). We suggest experimental tests to determine whether the boundary is singular at the point, making it also a special point. Finally, we relate the entire discussion to the recently proposed concept of order for critical points and discuss the possibilities of special scaling.

Authors:
 [1];  [2];  [3]
  1. Stanford Univ., Stanford, CA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); North Carolina State Univ., Raleigh, NC (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1442868
Report Number(s):
SLAC-PUB-1259
Journal ID: ISSN 0556-2791; PLRAAN
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review, A (General Physics)
Additional Journal Information:
Journal Name: Physical Review, A (General Physics); Journal Volume: 9; Journal Issue: 6; Journal ID: ISSN 0556-2791
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Hankey, Alex, Chang, T. S., and Stanley, H. E. Tricritical points in multicomponent fluid mixtures. United States: N. p., 1974. Web. doi:10.1103/PhysRevA.9.2573.
Hankey, Alex, Chang, T. S., & Stanley, H. E. Tricritical points in multicomponent fluid mixtures. United States. doi:10.1103/PhysRevA.9.2573.
Hankey, Alex, Chang, T. S., and Stanley, H. E. Sat . "Tricritical points in multicomponent fluid mixtures". United States. doi:10.1103/PhysRevA.9.2573. https://www.osti.gov/servlets/purl/1442868.
@article{osti_1442868,
title = {Tricritical points in multicomponent fluid mixtures},
author = {Hankey, Alex and Chang, T. S. and Stanley, H. E.},
abstractNote = {We consider special critical points in multicomponent fluid mixtures, where critical phenomena occur between three phases simultaneously. We show that although such points may be the intersection of three lines of critical points, they are not in general analogous to the tricritical points originally proposed by Gr iffiths. Rather the three lines are part of a single surface of critical points and the special point occurs where the boundary of the surface of critical points is a maximum with respect to a particular variable selected experimentally (usually temperature). We suggest experimental tests to determine whether the boundary is singular at the point, making it also a special point. Finally, we relate the entire discussion to the recently proposed concept of order for critical points and discuss the possibilities of special scaling.},
doi = {10.1103/PhysRevA.9.2573},
journal = {Physical Review, A (General Physics)},
number = 6,
volume = 9,
place = {United States},
year = {1974},
month = {6}
}

Journal Article:
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