Abstract Gravitational wave memory and its electromagnetic analog are shown to be straightforward consequences of the wave equation. From Maxwell’s equations one can derive a wave equation for the electric field, while from the Bianchi identity one can derive a wave equation for the Riemann tensor in linearized gravity. Memory in both cases is derived from the structure of the source of those wave equations.
more »
« less
This content will become publicly available on June 1, 2026
On the wave turbulence theory: ergodicity for the elastic beam wave equation
- PAR ID:
- 10610425
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Mathematische Zeitschrift
- Volume:
- 310
- Issue:
- 2
- ISSN:
- 0025-5874
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
-
-
On 15 January 2022, unusual waves appeared in Earth’s atmosphere and oceans ( 1 – 3 ). The origin of the waves was clearly the catastrophic volcanic eruption in Tonga, which pummeled the atmosphere with the largest eruptive plume since the 1883 eruption of Krakatoa, Indonesia. On page 95 of this issue, Matoza et al. ( 4 ) show that the 2022 Tonga eruption generated waves in the water, air, and even in the ionosphere that wrapped around Earth multiple times. Tsunamis appeared to hop across the land into all of the major ocean basins. And on page 91 of this issue, Kubota et al. ( 5 ) explain that the tsunamis arrived much earlier than expected on the basis of conventional tsunami modeling, and the wave trains lasted much longer than for even the largest earthquakes ( 5 ).more » « less
-
Gravitational waves are ripples in the fabric of spacetime that are caused by events such as the merging of black holes. In principle, many types of events occur that could create gravitational waves with frequencies ranging from as high as a few kilohertz to as low as a few nanohertz. Sources of gravitational waves in the nanohertz frequency range include cosmic strings, quantum fluctuations from the early Universe, and, notably, supermassive black hole binaries (SMBHBs). Some gravitational wave sources are so numerous that they are all expected to contribute to a gravitational wave background (GWB). This GWB has been the target of pulsar timing arrays (PTAs) for decades.more » « less
-
About eight years ago it was predicted theoretically that a charged chiral plasma could support the propagation of the so-called chiral magnetic waves, which are driven by the anomalous chiral magnetic and chiral separation effects. This prompted intensive experimental efforts in search of signatures of such waves in relativistic heavy-ion collisions. In fact, several experiments have already reported a tentative detection of the predicted signal, albeit with a significant background contribution. Here, we critically reanalyze the theoretical foundations for the existence of the chiral magnetic waves. We find that the commonly used background-field approximation is not sufficient for treating the waves in hot chiral plasmas in the long-wavelength limit. Indeed, the back-reaction from dynamically induced electromagnetic fields turns the chiral magnetic wave into a diffusive mode. While the situation is slightly better in the strongly-coupled near-critical regime of quark-gluon plasma created in heavy-ion collisions, the chiral magnetic wave is still strongly overdamped due to the effects of electrical conductivity and charge diffusion.more » « less
An official website of the United States government
