Bending and Stretching in a Narrow Ribbon of Nematic Polymer Networks
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Using hybrid density functional theory, we address point defects susceptible to cause charge compensation upon Mg doping of GaN. We determine the free energy of formation of the nitrogen vacancy and of several Mg-related defects. The entropic contribution ...
Direct methods that transform the geometry of a structure and conserve its static equilibrium are of particular interest for designers. They allow the exploration of alternative solutions at minimum computational cost. While parallel transformations (stret ...
The study of the electronic band structure of solids is a central task in materials science. Indeed, knowing a material's band structure is key to an understanding of its macroscopic electronic properties. In recent years, a new class of materials has emer ...
Free energies play a central role in many descriptions of equilibrium and non-equilibrium properties of solids. Continuum partial differential equations (PDEs) of atomic transport, phase transformations and mechanics often rely on first and second derivati ...
The properties of the interface between solid and melt are key to solidification and melting, as the interfacial free energy introduces a kinetic barrier to phase transitions. This makes solidification happen below the melting temperature, in out-of-equili ...
When drivers are regularly faced with congestion, they try to optimize their departure time. If the demand and the road network evolve slowly enough, the entire system may approach an equilibrium, i.e. a state such that no one can be better off by unilater ...
This paper investigates the stability of departure time choice within a population of commuters that need to pass through a bottleneck of constant capacity. It is shown that the corresponding utility function is monotonic if and only if the marginal utilit ...
We study assemblies of convex rigid blocks regularly arranged to approximate a given freeform surface. Our designs rely solely on the geometric arrangement of blocks to form a stable assembly, neither requiring explicit connectors or complex joints, nor re ...
Revealing the emergence and the dynamics of collective excitations in complex matter is a subject of pivotal importance, as it provides insight into the strength and spatial distribution of interactions and correlations. At the same time, collectivity lies ...
We theoretically demonstrate a mechanism for bright soliton generation in spinor non-equilibrium Bose-Einstein condensates made of atoms or quasi-particles such as polaritons in semiconductor microcavities. We give analytical expressions for bright (half) ...