the relationship between the angular frequency (ω) of a wave and the magnitude of its wave vector (k). Thus the wave's speed is ω/k
Examples of 'dispersion relation' in a sentence
dispersion relation
The dispersion relation has been derived and solved numerically.
Khan Aiyub, Sharma Neha, Bhatia P.K. 2008, 'Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids in a horizontalmagnetic field', Thermal Sciencehttp://www.doiserbia.nb.rs/img/doi/0354-9836/2008/0354-98360803103K.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Consequences for the shear waves dispersion relation are analyzed.
Megías Eugenio, Pena-Benitez Francisco 2014, 'Fluid/Gravity Correspondence, Second Order Transport and Gravitational Anomaly*,**',EPJ Web of Conferenceshttp://dx.doi.org/10.1051/epjconf/20146604018. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Finally, shallow water depths are estimated from the dispersion relation.
Xiaolin Bian, Yun Shao, Wei Tian, Shiang Wang, Chunyan Zhang, Xiaochen Wang, ZhixinZhang 2017, 'Underwater Topography Detection in Coastal Areas Using Fully Polarimetric SAR Data',Remote Sensinghttp://www.mdpi.com/2072-4292/9/6/560. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
It also significantly modifies the nucleon's dispersion relation.
Bum-Hoon Lee, Chanyong Park 2015, 'Holographic nucleons in the nuclear medium', Physics Letters Bhttp://www.sciencedirect.com/science/article/pii/S0370269315003330. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode.
Benjamin Withers 2018, 'Short-lived modes from hydrodynamic dispersion relations', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP06(2018)059. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
These higher dimensional operators introduce quartic and sextic corrections to the dispersion relation.
Amjad Ashoorioon, Roberto Casadio, Michele Cicoli, Ghazal Geshnizjani, Hyung J. Kim 2018, 'Extended effective field theory of inflation', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP02(2018)172. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
A general dispersion relation and neutral curves are addressed and plotted for the different parameters.
Galal M. Moatimid, Doaa R. Mostapha 2019, 'Nonlinear electrohydrodynamic instability through two jets of an Oldroydian viscoelasticfluids with a porous medium under the influence of electric field', AIP Advanceshttp://dx.doi.org/10.1063/1.5080700. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
By applying normal mode analysis method, the dispersion relation has been derived and solved analytically.
G. C. Rana, R. C. Thakur, S. Kumar 2012, 'Thermosolutal Convection in Compressible Walters' (Model B′) Fluid Permeated withSuspended Particles in a Brinkman Porous Medium', The Journal of Computational Multiphase Flowshttp://cmf.sagepub.com/content/4/2/211.full.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)