Energy density and energy flux was introduced along Takesue’s method. Particle energies were localized at particle positions using Dirac delta function. The energy density was connected with the energy flux by continuity equation. New method was proposed to deal with multi–body interaction. Consequently, the energy current between particles could be calculated even if the multi–body interaction...

We have used classical molecular dynamics based on the Brenner potential describing carbon-carbon covalent bonds to study the melting point and vacancy movement in a rectangular graphene nanoribbon. The melting point of the graphene nanoribbon extracted from the numerical simulation is ~3400 K. We also found that two separated vacancies at high temperature (e.g., ~3000 K, below the melting poin...

By combining with the physical concept of inscribed surface, the standard Cauchy-Born rule (CBR) is straightly extended to have a rigorous and accurate atomistic continuum theory for the monolayer crystal films. Resorting to using Tersoff-Brenner potential, the present theory to graphite sheet and single-walled carbon nanotubes (SWCNTs) is applied to evaluate the mechanical properties. The resu...

Classical molecular dynamics based on the Brenner potential and Nosé– Hoover thermostat has been used to study the thermal conductivity and thermal rectification (TR) of graphene nanoribbons. An appreciable TR effect in triangular and trapezoidal nanoribbons was found. The TR factor is over 20 % even for 23 nm long monolayer triangular nanoribbons. The TR in graphene nanoribbons may enable nove...

Jeffrey Brenner. (Photo by MacArthur Foundation) Jeffrey Brenner doesn’t believe in blaming a person for showing up at an emergency room for a cold or an ear infection, even if the illness could have been treated in a doctor’s office at much lower cost. Instead, he faults the health care system, and he wants to prove that if providers, employers and insurers work together more effectively, that...

After summarizing the harmonic approach to topological coordinates and the null space embedding of graphs, three-coordinated tiling of the plane by hexagons, pentagons, and heptagons are presented and used for the construction of tubular, toroidal, and helical carbon structures. Physically realistic 3D geometries are formed from the corresponding adjacency matrices, and the final structure was ...

A human ovarian Brenner tumor presenting a wide spectrum of benign and malignant histologic features was studied for its patterns of intermediate filament expression. All epithelial elements of the tumor, regardless of their morphologic type, contained cytokeratins as their only intermediate filament component. Differences were detected, however, between tumor nests that displayed transitional ...

otherwise of the tumour. Examination of the tumour for stainable fat is also recommended. Furthermore, vaginal cytology for cestrogenic activity and estimation of circulating oestrogenic hormone should also be performed in laboratories where facilities for such investigations exist. The view expressed by Novak and Woodruff (1962) in relation to the functioning properties or otherwise of Brenner...