Phys. Rev. Lett. 74, 422–425 (1995)Numerical Study of Phase Transitions in the Pores of an AerogelReceived 10 June 1994; published in the issue dated 16 January 1995 An aerogel of volume fraction c is modeled on a 3D lattice using diffusion-limited cluster-cluster aggregation in cubic boxes of sizes up to 20 × 20 × 20. A set of q-state Potts variables are disposed on the nonoccupied sites and their order-disorder phase transition is studied by means of a Monte Carlo technique for q=3 and q=4. It is found that the transition changes from first to second order above a nonzero threshold value of c. A comparison is made with the case of randomly occupied sites. The possible application to recent experimental results is discussed. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.422
DOI:
10.1103/PhysRevLett.74.422
PACS:
64.60.Ak, 05.70.Fh, 75.40.Mg
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