And under the cover of this giant network, all forces and physical properties are included, all abstracted into mathematical language by that rigorous and trembling logic, and answered by mathematical methods!
All material inspirations, visible numbers at this moment, are woven into a language that can be recited.
At least, that's the case for him!
Judging from the series of parameters given here, the first thing Lu Zhou thought of was a cable with very high tensile strength, and the next thing he thought of was impact-resistant coatings used in cars or aerospace equipment. .
After saying that, Lu Zhou smiled with some satisfaction and put the pen aside.
After leaving Professor Wang Qingping's laboratory, Lu Zhou did not stay at the Jinling Institute for Advanced Study and went straight back home.
Even a clue that is so small that it can be ignored can be infinitely magnified in his eyes and turned into a key that can be touched by both hands.
Simply speaking, it can be made into a cable. When viewed from the sky, it can be used on the space station. It can be used as a traction rope to fix heat sinks and solar panels. When placed on the ground, it can be used as a suspension material for engineering equipment. It can even be used when it is lowered into the sea. As a blocking rope on the aircraft carrier deck.
For molecular systems, the use of implicit functionals can achieve an accuracy equivalent to second-order many-body perturbation theory with a relatively small amount of calculation. Therefore, the implicit density functional method is widely regarded as a method with broad Prospective computational materials research methods.
And almost at the same time as he put down the pen, a line of light blue text unexpectedly appeared in front of his eyes.
The so-called implicit functional density is a computational materials method relative to the explicit functional density. It is a relatively popular research direction in the theoretical research field of computational materials.
Regarding the technical standards given by the system, the best option Lu Zhou could think of was a carbon-based material with high tensile strength, light weight, and strong plasticity.
Especially carbon fiber and a series of graphite-derived reinforced composite materials.
Therefore, the implicit density functional method is relatively rarely used in the study of solid materials, and has only made certain progress in certain fields... and this is despite the huge development of computing power.
"...The implicit density functional method also has broad prospects for the study of carbon composite materials, at least now it has been extended to this field."
"Although there is still room for further exploration."
As we all know, the traditional exchange correlation energy functional is an explicit functional directly expressed by the electron density function, while the expression method using the Kohn-Shan orbital wave function as a direct variable is an implicit functional.
He went upstairs to the study room, and after asking Xiao Ai to make him a cup of coffee, Lu Zhou sat at the desk and spread the scrap paper he brought back from the laboratory on the table.
When he was revising the mathematical model based on the experimental results, some ideas about theoretical research in computational materials science suddenly came to his mind.
"The reason for this result should be that the monomer acrylonitrile undergoes insufficient free radical polymerization, forming a large number of intermediate products, resulting in insufficient progress in the third stage of the reaction... and finally forming the foamy mixed material."
Lu Zhou believed that after this material with high Young's modulus and high breaking strength came out, countless people would be able to come up with uses for him that he himself had not thought of.
Perhaps because both mathematics and physics had reached LV10, Lu Zhou found that his sensitivity to numbers and physical phenomena had reached a state of perfection.
[The functional E{P(r)} can be expressed as: E{P(r)}=T{ρ(r)}+1/2∫∫｛ρ(r){ρ(r) drdr+Exc{ P(r)｝…]
It’s like giving it to you for free!
Once this research is successful, it will be of great help to the entire research field of carbon composite materials, and its significance will even surpass the material he studied with "Young's modulus ≥ 2.1TPa, failure strength ≥ 80N/m..." itself!
"Then, introduce the Shrodinger equation—"
Generally speaking, when a problem is spelled out clearly, it is half solved.
"Tsk, tsk, interesting."
The simplest implicit functional is the Fock exchange energy, often called the exact correlation in the context of density functional theory.
Seeing the inspiration distilled into words, Lu Zhou couldn't help but smile.
"The material A synthesized according to the experimental process designed by the original model has a low density, forms a fluffy mass after deposition, and the diameter of the carbon nanotubes is extremely uneven... "
Therefore, this task is not difficult at all for him.
Lines of calculations flow out from under the pen tip, like a trickling stream, and together with the burst of inspiration, they form a river and rush into the sea!
What Lu Zhou has to do now is to extend this method from a simple system to the research of relatively complex carbon materials!
After thinking seriously for a while, he picked up the pen and neatly wrote a line of text on a blank piece of draft paper.
No matter where this inspiration came from, there was only one thought in his mind at this moment.
"But, that's enough for now."
Young's modulus ≥ 2.1TPa, failure strength ≥ 80N/m...
[Implicit density functional method]
That is to record it while the inspiration has not dissipated.
[Congratulations to the host, the mission is completed!]
Especially the latter, this thing is not ordinary expensive.
At first, he thought he had seen it wrong, so Lu Zhou blinked subconsciously.
As he muttered softly in his mouth, the tip of the pen held by Lu Zhou's fingertips was like a sharp dagger, drawing a sonorous and powerful trajectory on the paper, and at the same time piercing the thick layer of paper that covered the end of the maze. fog.
As for where this thing can be used...
At present, the implicit correlation functional based on the adiabatic correlation fluctuation dissipation theorem has attracted widespread academic attention, which is widely regarded as a breakthrough in research to overcome the shortcomings of implicit functional density.
Time passed by minute by minute.
However, the problems of this type of functional are not small, especially the huge amount of calculations that even the most powerful traditional computers will find difficult. Therefore, the current research direction is still exploratory research on simple systems.
Looking at the results that almost appeared on the paper, Lu Zhou's pupils became brighter and brighter, and his slightly frowning brows finally relaxed into a smile.
That has a lot of uses.
And these are just some of the uses for this material.
[According to the HK theorem, the ground state energy functional of the system can be expressed as: EG{P(r)}=E{P(r)}+∫V(r)ρ(r)dr... ]
But his scientific intuition told him that he was very close to the end!
However, the line of light blue text was not dimmed by his blinking. It was still so clear and impossible to ignore...
What interested Lu Zhou was not the foamy mixture, but some very interesting phenomena he discovered while revising the calculation model.
The sun also gradually moved from the sky to the corner of the horizon.
As the sky outside the window finally darkened completely, the street lights on both sides of the tree-lined path began to light up. At this moment, Lu Zhou finally raised his head and took a deep breath, stopping the pen in his hand that was almost hot from pinching.
This kind of material not only has a broad imagination in theory, but also is his specialty in the research of computational materials science. When he first started doing research on computational materials science, he started with carbon materials.
Back to the research itself.
There was no pause in the writing in his hand. After completing the title, Lu Zhou quickly delved into the exploration of the proposition itself.
Although there is still a long way to go before the end.
"At the same time, this can also be regarded as a breakthrough to extend the method from simple systems to complex systems."
[…]
However, despite its advantages, its shortcomings are also obvious. For example, the accuracy is limited, including the inability to accurately describe van der Waals interactions, etc., which is almost fatal for studying solid materials.