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First-order phase transition in the tethered surface model on a sphere.
Hiroshi Koibuchi1, Toshiya Kuwahata
1Department of Mechanical and Systems Engineering, Ibaraki College of Technology, Nakane 866 Hitachinaka, Ibaraki 312-8508, Japan. koibuchi@mech.ibaraki-ct.ac.jp
Summary
The tethered surface model exhibits a first-order phase transition from smooth to crumpled states. This critical behavior, observed in large-scale simulations, aligns with prior findings on the model's phase structure.
Area of Science:
- Physics
- Materials Science
- Computational Physics
Background:
- The Helfrich-Polyakov-Kleinert model describes the behavior of flexible surfaces.
- Understanding phase transitions in such models is crucial for various scientific fields.
Purpose of the Study:
- To investigate the phase transition between smooth and crumpled phases in the tethered surface model.
- To determine the order of the phase transition using numerical simulations.
Main Methods:
- Canonical Monte Carlo simulations were employed.
- Simulations were conducted on spherical and fixed connectivity surfaces.
- Surface sizes up to N = 15,212 were analyzed.
Main Results:
- A first-order phase transition was observed for surfaces larger than N = 7000.
- A continuous transition was identified on smaller surfaces.
- Results confirm consistency with previous studies on the model's phase structure.
Conclusions:
- The tethered surface model undergoes a distinct first-order phase transition.
- Simulation scale influences the observed transition type.
- The findings validate existing theoretical and numerical understanding of the model.