Micro/nanoparticle melting with spherical symmetry and surface tension

Crystalline Symmetry and Surface Tension

The fundamental mechanisms causing crystalline symmetry in matter at low temperature and pressure are not yet understood’), though there has been some recent progress”‘4. In particular in”,“) we considered two-dimensional models of particles interacting through a two body force consisting of a hard core and short range attraction (modelling a molecular force). One expects the ground state of su...

Numerical Solution of Integral Equations in Solidification and Melting with Spherical Symmetry

On the surface tension of fluctuating quasi-spherical vesicles.

We calculate the stress tensor for a quasi-spherical vesicle and we thermally average it in order to obtain the actual, mechanical, surface tension tau of the vesicle. Both closed and poked vesicles are considered. We recover our results for tau by differentiating the free energy with respect to the proper projected area. We show that tau may become negative well before the transition to oblate...

Coning, Symmetry and Spherical Frameworks

In this paper, we combine separate works on (a) the transfer of infinitesimal rigidity results from an Euclidean space to the next higher dimension by coning [28], (b) the further transfer of these results to spherical space via associated rigidity matrices [19], and (c) the prediction of finite motions from symmetric infinitesimal motions at regular points of the symmetryderived orbit rigidity...

Quantum spherical spins with local symmetry.

We construct a quantum system of spherical spins with a continuous local symmetry. The model is exactly soluble in the thermodynamic limit and exhibits a number of interesting properties. We show that the local symmetry is spontaneously broken at finite as well as zero temperatures, implying the existence of classical and quantum phase transitions with a nontrivial critical behavior. The dynami...