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A bound on the free energy of tensionless membranes
Francesco Serafin, Mark J. Bowick
Using the proof of Willmore's conjecture by Marques and Neves, we conjecture that the free energy of tensionless fluid membranes of arbitrary genus has an upper bound. This implies…
Geometric control of tilt transition dynamics in single-clamped thermalized elastic sheets
Roberto Abril Valenzuela, Paul Z. Hanakata, Mark J. Bowick
We study the finite-temperature dynamics of thin elastic sheets in a single-clamped cantilever configuration. This system is known to exhibit a tilt transition at which the preferr…
Vibrations and tunneling of strained nanoribbons at finite temperature
Paul Z. Hanakata, Sourav S. Bhabesh, David Yllanes +2
Crystalline sheets (e.g., graphene and transition metal dichalcogenides) liberated from a substrate are a paradigm for materials at criticality because flexural phonons can fluctua…
Cell Division and Motility Enable Hexatic Order in Biological Tissues
Yiwen Tang, Siyuan Chen, Mark J. Bowick +1
Biological tissues transform between solid-like and liquid-like states in many fundamental physiological events. Recent experimental observations further suggest that in two-dimens…