Dear RG specialists, I am wondering if is there a phase transition to a localized transversal phonon sort of coherent state? We know that there is one for the diffuse photon field when light scattering becomes strong enough (frozen light limit [1,2]).
This question arises only for transverse waves [3,4].
Following [1] Frozen light, Sajeev J. Nature volume 390, pp. 661–662, 1997:
Are there strong interference effects, due to the wave-like nature of transverse phonons, which severely obstruct their diffusion?
We already know that electrons & photons can be localized, please see the following articles & references therein:
[1]https://www.nature.com/articles/37731
[2] https://www.nature.com/articles/nphys2278
[3] https://www.nature.com/articles/s41524-020-0295-8
[4] https://www.seas.upenn.edu/~nanolab/files/publications_pdf/confpapers/2007_SHTC.pdf
Conference Paper Atomistic Visualization of Ballistic Phonon Transport
Hi Pedro,
I saw this paper a few months ago. Perhaps it can shed light on your question.
Article Anderson Localization of Thermal Phonons Leads to a Thermal ...
Oh !! great Prof . Pedro L. Contreras E. ,
2 Phonons .
REF :https://link.springer.com/content/pdf/10.1007%2F978-94-011-2276-4_2.pdf
Thank you so much for sharing the link Dear Prof. Jaydip Datta . It looks very illustrative. Low temperature limit helps to undestand the most fundamental properties. I guess the Nerst theorem plays here a role since most degrees of freedom are suppresed.
Dear readers, I may guess that the following papers are important to this thread:
Article Steady state and modulated heat conduction in layered system...
Article Akhiezer mechanism limits coherent heat conduction in phonon...
Article Phonon Localization in Heat Conduction
Dear ResearchGate thread participants; P. Contreras hopes that you all are in good health.
Internet connectivity was finally powered off in Pedro's town by chavista regime, last Friday May 23rd at midnight.
Pedro apologize's, he won't be able to coach this thread for some time, however feel free to carry on with the discussion and stay tuned.
God bless & protect you all. Thanks so much.
Thanks so much for following up Dear Profs. Jael Caldera & Mundher Alsaaidi منذر السعيدي
I will address the photon diffusion process in several posts for this thread. And I will start with the Wikipedia definition [1,2]:
"...Photon diffusion is a situation where photons travel through a material without being absorbed, but rather undergoing repeated scattering events which change the direction of their path. The path of any given photon is then effectively a random walk. A large ensemble of such photons can be said to exhibit diffusion in the material, and can be described with a diffusion equation...".
"...The photon diffusion equation is a second-order partial differential equation describing the time behaviour of photon flow in a low-absorption scattering medium...".
[1] https://en.wikipedia.org/wiki/Photon_diffusion
[2] https://en.wikipedia.org/wiki/Photon_diffusion_equation
It could be that the following papers are useful for this discussion, the phenomenological approach used is excellent.
Article A solution of the Boltzmann transport equations for spin and...
Article Spin and charge transport in material with spin-dependent conductivity
I find interesting the following paper on atom localization:
Article Resonance fluorescence microscopy via three-dimensional atom...
Great Question.
I will think over this Excellent conceptual question.
Thanks for such a question.
Best Wishes
N Das
Thank you so much for your reply, Prof. Nityananda Das.
Shear elastic waves and electromagnetic waves have one common point: They are transversal.
Their polarization and their spin should be somehow related. What type of fields can be frozen?
They both are bosonic fields.
The localization of light is a very interesting physical phenomenon.
The following pedagogical presentation explains the phenomenon of frozen light and localization, although it is in Spanish, it has references at the end.
Presentation Una Breve Introducción a la Física de los Cristales Fotónico...
The following research article is related to this thread:
Article Quantized intrinsically localized modes of a 3D lattice
Best Regards.
- Badges
- Science topic