We describe a distributed position-based network protocol optimized for minimum energy consumption in mobile wireless networks that support peer-to-peer communications. Given any number of randomly deployed nodes over an area, we illustrate that a simple local optimization scheme executed at each node guarantees strong connectivity of the entire network and attains the global minimum energy sol...

Introduction Multi-hop wireless networks, especially sensor networks, are expected to be deployed in a wide variety of civil and military applications. Minimizing energy consumption has been a major design goal for wireless networks. It can allow longer battery life and mitigate interference. Much research has been done to find topology control protocols that allow nodes to communicate using mi...

The authors construct a rigid-body (five-dimensional) potential energy surface for the water-nitrogen complex using the systematic intermolecular potential extrapolation routine. The intermolecular potential is then extrapolated to the limit of a complete basis set. An analytic fit of this surface is obtained, and, using this, the global minimum energy is found. The minimum is located in an arr...

We develop algorithms for energy minimization kernels with singularities. This problem arises in different fields, most notably the construction of space-filling sequences points where singularity guarantees a strong repelling property between these points. Numerical are based on approximating singular by non-singular ones, subsequent discretization and solving discrete problems. For kernels, w...

We discuss the phenomenon of physical aging in a well studied atomic model liquid, a binary mixture of particles interacting with Lennard-Jones potentials. We put emphasis on the different dynamical behaviours of the model as well as on the relations between the experimental and numerical timescales. The physics of aging is discussed within a well characterized thermodynamic framework, based on...

We apply conformal solution theory and extend to mixtures a recently derived equation of state for glass-forming liquids. The equation of state is based on the statistical properties of the multidimensional potential energy surface as a function of a macroscopic system’s degrees of freedom (energy landscape), and allows the calculation of an ideal glass transition locus, along which the configu...

Using  principle  of  minimum  total  potential  energy  approach  in conjunction  with  Rayleigh-Ritz  method,  the  electro-thermo- mechanical  axial  buckling  behavior  of  piezoelectric  polymeric cylindrical  shell  reinforced  with  double-walled  boron-nitride nanotube  (DWBNNT)  is  investigated. Coupling  between  electrical and mechanical  fields  are  considered  according  to  ...