Theoretical and numerical investigations on shapes of planar lipid monolayer domains (2008)
Shapes of planar lipid monolayer domains at the air-water interface are theoretically and numerically investigated by minimizing the formation energy of the domains which consist of the surface...
Efficiency at maximum power of Feynman's ratchet as a heat engine (2008)
The maximum power of Feynman's ratchet as a heat engine and the corresponding efficiency ($\eta_\ast$) are investigated by optimizing both the internal parameter and the external load. When a perfect...
Elastic theory of low-dimensional continua and its applications in bio- and nano-structures (2007)
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, as the geometric...
Concise theory of chiral lipid membranes (2007)
A theory of chiral lipid membranes is proposed on the basis of a concise free energy density which includes the contributions of the bending and the surface tension of membranes, as well as the...
A possible generalized form of Jarzynski equality (2005)
The crucial condition in the derivation of the Jarzynski equality (JE) from the fluctuation theorem is that the time integral of the phase space contraction factor can be exactly expressed as the...
The elasticity and piezoelectricity of zinc oxide (ZnO) crystals and single layers are investigated from the first-principles calculations. It is found that a ZnO thin film less than three Zn-O...
The formation of ZnO nanorings and nanohelices with large polar surfaces observed in experiments [Nano Lett. 3, 1625 (2003); J. Am. Chem. Soc. 126, 6703 (2004)] is shown to be a result of the...
After a brief introduction to several variational problems in the study of shapes of thin thickness structures, we deal with variational problems on 2-dimensional surface in 3-dimensional Euclidian...
A new molecular motor is conceptually constructed from a double-walled carbon nanotube (DWNT) consisting of a long inner single-walled carbon nanotube (SWNT) and a short outer SWNT with different...
Elasticities and stabilities: lipid membranes vs cell membranes (2005)
Tu, Z. C., An, R., Ou-Yang, Z. C.
A cell membrane can be simply regarded as composite material consisting of lipid bilayer, membrane cytoskeleton beneath lipid bilayer, and proteins embedded in lipid bilayer and linked with membrane...
Geometric theory on the elasticity of bio-membranes (2004)
The purpose of this paper is to study the shapes and stabilities of bio-membranes within the framework of exterior differential forms. After a brief review of the current status in theoretical and...
Tu, Z. C., Ge, L. Q., Li, J. B., Ou-Yang, Z. C.
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 elastic free energy of...
The application of exterior differential forms in variational problems on manifolds (2003)
This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.
Lipid membranes with free edges (2003)
Lipid membrane with freely exposed edge is regarded as smooth surface with curved boundary. Exterior differential forms are introduced to describe the surface and the boundary curve. The total free...
Specific heats of dilute neon inside long single-walled carbon nanotube and related problems (2003)
An elegant formula for coordinates of carbon atoms in a unit cell of a single-walled nanotube (SWNT) is presented and the potential of neon (Ne) inside an infinitely long SWNT is analytically derived...
Double-walled carbon nanotubes as hundred gigahertz oscillators (2003)
Based on the van der Waals interaction, the periodically nonlinear potential of a singe-walled carbon nanotube (SWNT) with finite length in an infinite length SWNT is analytically obtained. It is...
Molecular Motor of Double-Walled Carbon Nanotube Driven by Temperature Variation (2003)
An elegant formula for coordinates of carbon atoms in a unit cell of a single-walled nanotube (SWNT) is presented and a new molecular motor of double-walled carbon nanotube whose inner tube is a long...
Comment on "Highly Extended Image States around Nanotubes" (2002)
A Comment on the Letter by Granger et.al., Phys. Rev. Lett. 89, 135506 (2002).
Spiral symmetry and general Bloch's theorem (2002)
In this paper, spiral symmetry in cylindrical coordinate and general Bloch's theorem induced from it are discussed. This general Bloch's theorem is useful for considering the properties related to...
A simple formula for coordinates of carbon atoms in a unit cell of a single-walled nanotube (SWNT) is presented and the potential of neon (Ne) inside an infinitely long SWNT is analytically derived...
Structures, Symmetries, Mechanics and Motors of carbon nanotubes (2002)
The structures and symmetries of single-walled carbon nanotubes (SWNTs) are introduced in detail. The physical properties of SWNTs induced by their symmetries can be described by tensors in...
The Development of Special Relativity in the Superluminal Case (2001)
We extend the special relativity into the superluminal case and firstly put forward a new superluminal theory of kinematics, in which we show that the temporal coordinate need exchanging with one of...