46 citations · 129 across the 11 of their papers we have counts for
5 papers · 1 filter
Molecular chaos in dense active systems
Lu Chen, Kyle J. Welch, Premkumar Leishangthem +7
The hypothesis of molecular chaos plays the central role in kinetic theory, which provides a closure leading to the Boltzmann equation for quantitative description of classic fluid…
Dynamics of active nematic defects on the surface of a sphere
Yi-Heng Zhang, Markus Deserno, Zhan-Chun Tu
A nematic liquid crystal confined to the surface of a sphere exhibits topological defects of total charge due to the topological constraint. In equilibrium, the nematic field…
Recent theoretical advances in elasticity of membranes following Helfrich's spontaneous curvature model
Z. C. Tu, Z. C. Ou-Yang
Recent theoretical advances in elasticity of membranes following Helfrich's famous spontaneous curvature model are summarized in this review. The governing equations describing equ…
Elastic theory of low-dimensional continua and its applications in bio- and nano-structures
Z. C. Tu, Z. C. Ou-Yang
This review presents the elastic theory of low-dimensional (one- and two-dimensional) continua and its applications in bio- and nano-structures. First, the curve and surface theory…
Elasticity of polymer vesicles by osmotic pressure: an intermediate theory between fluid membranes and solid shells
Z. C. Tu, L. Q. Ge, J. B. Li +1
The entropy of a polymer confined in a curved surface and the elastic free energy of a membrane consisting of polymers are obtained by scaling analysis. It is found that the elasti…