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First-order phase transition of fixed connectivity surfaces
Hiroshi Koibuchi1, Nobuyuki Kusano, Atsusi Nidaira
1Department of Mechanical Engineering, Ibaraki College of Technology, Nakane 866 Hitachnaka, Ibaraki 312-8508, Japan. koibuchi@mech.ibaraki-ct.ac.jp
Summary
We found that tethered membrane models exhibit a discontinuous phase transition. This transition, driven by bending energy, is crucial for understanding membrane elasticity and phase behavior.
Area of Science:
- Computational physics
- Materials science
- Biophysics
Background:
- Tethered membrane models are essential for understanding the elasticity of biological membranes.
- Helfrich's framework provides a basis for describing membrane bending energy.
- Phase transitions in such models are critical for their physical behavior.
Purpose of the Study:
- To investigate the phase transition behavior of two phantom tethered membrane models.
- To explore the role of bending energy and potentials in membrane phase transitions.
- To provide numerical evidence for discontinuous transitions in these models.
Main Methods:
- Canonical Monte Carlo simulations were employed.
- Triangulated fixed connectivity surfaces with spherical topology were used.
- Models incorporated Gaussian and bending energy terms, with one including a hard wall potential.
Main Results:
- Both studied models demonstrated a first-order phase transition.
- This transition was characterized by a distinct gap in the bending energy.
- The specific discrete bending energy formulation influenced the observed phase structure.
Conclusions:
- Numerical simulations confirm discontinuous transitions in Helfrich-based tethered membrane models.
- The bending energy and model potentials significantly dictate the phase behavior.
- Understanding these transitions is key for accurate membrane elasticity modeling.