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Dispersive Hydrodynamics
Dispersive may refer to: *Dispersive partial differential equation, a partial differential equation where waves of different wavelength propagate at different phase velocities * Dispersive phase from Biological dispersal *Dispersive medium, a medium in which waves of different frequencies travel at different velocities *Dispersive adhesion, adhesion which attributes attractive forces between two materials to intermolecular interactions between molecules *Dispersive mass transfer, the spreading of mass from highly concentrated areas to less concentrated areas *Dispersive body waves, an aspect of seismic theory *Dispersive prism, an optical prism * Dispersive hypothesis, a DNA replication predictive hypothesis *Dispersive fading, in wireless communication signals *Dispersive line *Dispersive power See also * Dispersal (other) * Dispersion (other) Dispersion may refer to: Economics and finance *Dispersion (finance), a measure for the statistical distribution of po ...
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Dispersive Partial Differential Equation
In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion means that waves of different wavelength propagate at different phase velocities. Examples Linear equations * Euler–Bernoulli beam equation with time-dependent loading *Airy equation *Schrödinger equation * Klein–Gordon equation Nonlinear equations *nonlinear Schrödinger equation * Korteweg–de Vries equation (or KdV equation) * Boussinesq equation (water waves) * sine–Gordon equation See also *Dispersion (optics) Dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency. Sometimes the term chromatic dispersion is used to refer to optics specifically, as opposed to wave propagation in general. A medium having this common ... * Dispersion (water waves) * Dispersionless equation References * External links *ThDispersive PDE Wiki {{mathanalysis-stub Partial differenti ...
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Biological Dispersal
Biological dispersal refers to both the movement of individuals (animals, plants, fungi, bacteria, etc.) from their birth site to their breeding site ('natal dispersal') and the movement from one breeding site to another ('breeding dispersal'). Dispersal is also used to describe the movement of propagules such as seeds and spores. Technically, dispersal is defined as any movement that has the potential to lead to gene flow. The act of dispersal involves three phases: departure, transfer, and settlement. There are different fitness costs and benefits associated with each of these phases. Through simply moving from one habitat Landscape ecology#Patch and mosaic, patch to another, the dispersal of an individual has consequences not only for individual fitness (biology), fitness, but also for population dynamics, population genetics, and species distribution. Understanding dispersal and the consequences, both for evolutionary strategies at a species level and for processes at an e ...
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Dispersive Medium
Dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency. Sometimes the term chromatic dispersion is used to refer to optics specifically, as opposed to wave propagation in general. A medium having this common property may be termed a dispersive medium. Although the term is used in the field of optics to describe light and other electromagnetic waves, dispersion in the same sense can apply to any sort of wave motion such as acoustic dispersion in the case of sound and seismic waves, and in gravity waves (ocean waves). Within optics, dispersion is a property of telecommunication signals along transmission lines (such as microwaves in coaxial cable) or the pulses of light in optical fiber. In optics, one important and familiar consequence of dispersion is the change in the angle of refraction of different colors of light, as seen in the spectrum produced by a dispersive prism and in chromatic aberration of lenses. Design of compound achromatic ...
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Dispersive Adhesion
Dispersive adhesion, also called adsorptive adhesion, is a mechanism for adhesion which attributes attractive forces between two materials to intermolecular interactions between molecules of each material. This mechanism is widely viewed as the most important of the five mechanisms of adhesion due to its presence in every type of adhesive system and its relative strength. Source of dispersive adhesion attractions The source of adhesive forces, according to the dispersive adhesion mechanism, is the weak interactions that occur between molecules close together. These interactions include London dispersion forces, Keesom forces, Debye forces and hydrogen bonds. Individually, these attractions are not very strong, but when summed over the bulk of a material, they can become significant. London dispersion London dispersion forces arise from Instantaneous dipole, instantaneous dipoles between two nonpolar molecules close together. The random nature of electron orbit allows moments in ...
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Dispersive Mass Transfer
Dispersive mass transfer, in fluid dynamics, is the spreading of mass from highly concentrated areas to less concentrated areas. It is one form of mass transfer. Dispersive mass flux is analogous to diffusion, and it can also be described using Fick's first law: :J = -E \frac, where c is mass concentration of the species being dispersed, E is the dispersion coefficient, and x is the position in the direction of the concentration gradient. Dispersion can be differentiated from diffusion in that it is caused by non-ideal flow patterns (i.e. deviations from plug flow) and is a macroscopic phenomenon, whereas diffusion is caused by random molecular motions (i.e. Brownian motion) and is a microscopic phenomenon. Dispersion is often more significant than diffusion in convection Convection is single or Multiphase flow, multiphase fluid flow that occurs Spontaneous process, spontaneously through the combined effects of material property heterogeneity and body forces on a fluid, mo ...
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Dispersive Body Waves
Dispersive body waves is an important aspect of seismic theory. When a wave propagates through subsurface materials both energy dissipation and velocity dispersion takes place. Energy dissipation is frequency dependent and causes decreased resolution of the seismic images when recorded in seismic prospecting. The attendant dispersion is a necessary consequence of the energy dissipation and causes the high frequency waves to travel faster than the low-frequency waves. The consequence for the seismic image is a frequency dependent time-shift of the data, and so correct timings for lithological identification cannot be obtained. Basics When we know the energy dissipation (attenuation), we can calculate the time shift due to dispersion because there is a relation between attenuation and the dispersion in a seismic media. Dispersion equations are obtained from the application of an integral transform in the frequency domain that are of the Kramers-Krönig type. This effect is describe ...
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Dispersive Prism
In optics, a dispersive prism is an optical prism that is used to disperse light, that is, to separate light into its spectral components (the colors of the rainbow). Different wavelengths (colors) of light will be deflected by the prism at different angles. This is a result of the prism material's index of refraction varying with wavelength (dispersion). Generally, longer wavelengths (red) undergo a smaller deviation than shorter wavelengths (blue). The dispersion of white light into colors by a prism led Sir Isaac Newton to conclude that white light consisted of a mixture of different colors. Triangular prisms are the most common type of dispersive prism. Other types of dispersive prism exist that have more than two optical interfaces; some of them combine refraction with total internal reflection. Principle Light changes speed as it moves from one medium to another (for example, from air into the glass of the prism). This speed change causes the light to be refracted ...
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Dispersive Hypothesis
Dispersive may refer to: *Dispersive partial differential equation, a partial differential equation where waves of different wavelength propagate at different phase velocities * Dispersive phase from Biological dispersal *Dispersive medium, a medium in which waves of different frequencies travel at different velocities *Dispersive adhesion, adhesion which attributes attractive forces between two materials to intermolecular interactions between molecules *Dispersive mass transfer, the spreading of mass from highly concentrated areas to less concentrated areas *Dispersive body waves, an aspect of seismic theory *Dispersive prism, an optical prism * Dispersive hypothesis, a DNA replication predictive hypothesis * Dispersive fading, in wireless communication signals * Dispersive line * Dispersive power See also * Dispersal (other) * Dispersion (other) Dispersion may refer to: Economics and finance *Dispersion (finance), a measure for the statistical distribution o ...
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Dispersive Fading
In wireless communications, fading is the variation of signal attenuation over variables like time, geographical position, and radio frequency. Fading is often modeled as a random process. In wireless systems, fading may either be due to multipath propagation, referred to as multipath-induced fading, weather (particularly rain), or shadowing from obstacles affecting the wave propagation, sometimes referred to as shadow fading. A fading channel is a communication channel that experiences fading. Key concepts The presence of reflectors in the environment surrounding a transmitter and receiver create multiple paths that a transmitted signal can traverse. As a result, the receiver sees the superposition of multiple copies of the transmitted signal, each traversing a different path. Each signal copy will experience differences in attenuation, delay and phase shift while traveling from the source to the receiver. This can result in either constructive or destructive interference, ...
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Dispersive Line
Dispersive may refer to: *Dispersive partial differential equation, a partial differential equation where waves of different wavelength propagate at different phase velocities * Dispersive phase from Biological dispersal *Dispersive medium, a medium in which waves of different frequencies travel at different velocities *Dispersive adhesion, adhesion which attributes attractive forces between two materials to intermolecular interactions between molecules *Dispersive mass transfer, the spreading of mass from highly concentrated areas to less concentrated areas *Dispersive body waves, an aspect of seismic theory *Dispersive prism, an optical prism * Dispersive hypothesis, a DNA replication predictive hypothesis *Dispersive fading, in wireless communication signals * Dispersive line * Dispersive power See also * Dispersal (other) * Dispersion (other) Dispersion may refer to: Economics and finance *Dispersion (finance), a measure for the statistical distribution of ...
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Dispersive Power
Dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency. Sometimes the term chromatic dispersion is used to refer to optics specifically, as opposed to wave propagation in general. A medium having this common property may be termed a dispersive medium. Although the term is used in the field of optics to describe light and other electromagnetic waves, dispersion in the same sense can apply to any sort of wave motion such as acoustic dispersion in the case of sound and seismic waves, and in gravity waves (ocean waves). Within optics, dispersion is a property of telecommunication signals along transmission lines (such as microwaves in coaxial cable) or the pulses of light in optical fiber. In optics, one important and familiar consequence of dispersion is the change in the angle of refraction of different colors of light, as seen in the spectrum produced by a dispersive prism and in chromatic aberration of lenses. Design of compound achromatic l ...
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Dispersal (other)
Dispersal may refer to: *Biological dispersal, the movement of organisms away from aggregations of individuals such as movement from their birth site **Dispersal vector, forces that carry seeds for plants **Oceanic dispersal, the movement of terrestrial organisms from one land mass to another by sea-crossing **Seed dispersal, the movement or transport of seeds away from the parent plant * Dispersal draft, a system in professional sports for reassigning players whose former team is defunct * Dispersal of ownership, breaking up large media companies and media conglomerates to diversify ownership of property rights * Dispersal (military), strategic spreading-out of military personnel and equipment to reduce collateral damage * Dispersal prison, one of five secure prisons in the United Kingdom that houses Category A prisoners * Dispersal index, for volcanic eruptions *The ''dispersal area'' of an aerodrome, where aeroplanes are parked away from the runway. See also * Dispersion (disa ...
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