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Phase transitions of a tethered surface model with a deficit angle term
Hiroshi Koibuchi1, Zion Sasaki, Keisuke Shinohara
1Department of Mechanical and Systems Engineering, Ibaraki College of Technology, Nakane 866 Hitachinaka, Ibaraki 312-8508, Japan. koibuchi@mech.ibaraki-ct.ac.jp
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
Summary
The Nambu-Goto model exhibits three phases: crumpled, tubular, and smooth. The tubular phase breaks rotational symmetry, forming a one-dimensional object, while other phases restore it.
Area of Science:
- Theoretical physics
- String theory
- Statistical mechanics
Background:
- The Nambu-Goto model describes the dynamics of strings.
- Understanding phase transitions in physical models is crucial.
Purpose of the Study:
- Investigate the phase structure of the Nambu-Goto model.
- Analyze the behavior of surfaces with spherical topology.
Main Methods:
- Canonical Monte Carlo simulations.
- Fixed connectivity surfaces of spherical topology were used.
Main Results:
- Identified three distinct phases: crumpled, tubular, and smooth.
- The tubular phase exhibits spontaneous breaking of rotational symmetry.
- A discontinuous transition occurs between the tubular and smooth phases.
Conclusions:
- The Nambu-Goto model on spherical surfaces displays rich phase behavior.
- Symmetry breaking in the tubular phase leads to a one-dimensional object formation.