Phase transition and Hausdorff dimension of a rigid bubble

Journal Article · Wed Jun 20 00:00:00 EDT 1990 · Modern Physics Letters A; (USA)

DOI:https://doi.org/10.1142/S0217732390001360· OSTI ID:6448406

Koibunchi, H ^[1]

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1. Ibaraki College of Technology, 866 Nakane, Katsuta, Ibaraki 312 (JP)

The authors study a rigid bubble, which is embedded in the continuum Euclidean space as a triangulated spherical random surface and whose action has an extrinsic curvature (or a rigidity) term in addition to the higher derivative gravity action. The crumpling phase transition is numerically investigated. It is found that the order of the phase transition is higher than or equal to 2. The Hausdorff dimension H in the smooth phase is H {approximately} 2, while in the crumpled phase, H remains finite in the neighborhood of the transition point and grows infinitely as the rigidity coupling goes to zero.

• OSTI ID: 6448406
• Journal Information: Modern Physics Letters A; (USA), Vol. 5:15; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EUCLIDEAN SPACE
PHASE TRANSFORMATIONS
HAUSDORFF SPACE
BUBBLES
QUANTUM GRAVITY
TRIANGULAR CONFIGURATION
CONFIGURATION
FIELD THEORIES
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
RIEMANN SPACE
SPACE
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation
640106 - Astrophysics & Cosmology- Cosmology