Comprehensive description of deformation of solids as wave dynamics
... position or, equivalently speaking, the field force on the atom is elastic force whose magnitude is proportional to the displacement. The above-mentioned claim that a solid object about to fail recovers from the deformed state to a certain extent if the load is removed is an example. This postulate ...
... position or, equivalently speaking, the field force on the atom is elastic force whose magnitude is proportional to the displacement. The above-mentioned claim that a solid object about to fail recovers from the deformed state to a certain extent if the load is removed is an example. This postulate ...
EXAMPLE 6 Find the gradient vector field of . Plot the gradient vector
... F共x, y兲 苷 e x1 i xy j and C is given by r共t兲 苷 t 2 i t 3 j, 0 t 1. (b) Illustrate part (a) by using a graphing calculator or computer to graph C and the vectors from the vector field corresponding to t 苷 0, 1兾s2, and 1 (as in Figure 13). F共x, y, z兲 苷 x i z j y k and C is given by r共t兲 苷 ...
... F共x, y兲 苷 e x1 i xy j and C is given by r共t兲 苷 t 2 i t 3 j, 0 t 1. (b) Illustrate part (a) by using a graphing calculator or computer to graph C and the vectors from the vector field corresponding to t 苷 0, 1兾s2, and 1 (as in Figure 13). F共x, y, z兲 苷 x i z j y k and C is given by r共t兲 苷 ...
A simulation study
... moment in an external electric field. The resulting dipolar interactions between the colloids lead to the formation of stringlike clusters where the dipoles are aligned head-to-toe.1–3 As a result, the rheological properties of these suspensions can be tuned by the electric field. Therefore, these s ...
... moment in an external electric field. The resulting dipolar interactions between the colloids lead to the formation of stringlike clusters where the dipoles are aligned head-to-toe.1–3 As a result, the rheological properties of these suspensions can be tuned by the electric field. Therefore, these s ...
Bipolaron recombination in conjugated polymers Linköping University Post Print
... case of U0 = 0.2t0 , the two bipolarons begin to interact at about 500 fs. Then, they quickly recombine and form a localized excited state on chain 1. As a result of this recombination, chain 2 ends up on the potential energy surface of the neutral ground state (see panel a2) and slowly reaches equi ...
... case of U0 = 0.2t0 , the two bipolarons begin to interact at about 500 fs. Then, they quickly recombine and form a localized excited state on chain 1. As a result of this recombination, chain 2 ends up on the potential energy surface of the neutral ground state (see panel a2) and slowly reaches equi ...
Subject: Electromagnetic Fields
... To describe a vector in the cartesian coordinate system, let us first consider a vector r extending outward from the origin. A logical way to identify this vector is by giving the three component vectors, lying along the three coordinate axes, whose vector sum must be the given vector. If the compon ...
... To describe a vector in the cartesian coordinate system, let us first consider a vector r extending outward from the origin. A logical way to identify this vector is by giving the three component vectors, lying along the three coordinate axes, whose vector sum must be the given vector. If the compon ...
Electrostatics
Electrostatics is a branch of physics that deals with the phenomena and properties of stationary or slow-moving electric charges with no acceleration.Since classical physics, it has been known that some materials such as amber attract lightweight particles after rubbing. The Greek word for amber, ήλεκτρον electron, was the source of the word 'electricity'. Electrostatic phenomena arise from the forces that electric charges exert on each other. Such forces are described by Coulomb's law.Even though electrostatically induced forces seem to be rather weak, the electrostatic force between e.g. an electron and a proton, that together make up a hydrogen atom, is about 36 orders of magnitude stronger than the gravitational force acting between them.There are many examples of electrostatic phenomena, from those as simple as the attraction of the plastic wrap to your hand after you remove it from a package, and the attraction of paper to a charged scale, to the apparently spontaneous explosion of grain silos, the damage of electronic components during manufacturing, and the operation of photocopiers. Electrostatics involves the buildup of charge on the surface of objects due to contact with other surfaces. Although charge exchange happens whenever any two surfaces contact and separate, the effects of charge exchange are usually only noticed when at least one of the surfaces has a high resistance to electrical flow. This is because the charges that transfer to or from the highly resistive surface are more or less trapped there for a long enough time for their effects to be observed. These charges then remain on the object until they either bleed off to ground or are quickly neutralized by a discharge: e.g., the familiar phenomenon of a static 'shock' is caused by the neutralization of charge built up in the body from contact with insulated surfaces.