【ρDV/Dt=ρf-▽p+μ▽^2V...】
Chapter 322 Request from the Director of the Supercomputing Center
As Lin Xiao said, Fermi liquids are already called "liquids", so why not just study them as real liquids?
This kind of thinking from another angle is exactly what is necessary in scientific research.
Of course, it is not so easy to really change the angle.
The first formula that Lin Xiao wrote down was actually a form of the Navier-Stokes equation.
The Navier-Stokes equation can describe various fluids, like in various computer modeling software, if you want to perfectly simulate the fluid, such as the water flow in the movie, etc., you also need the Navier-Stokes equation help.
But obviously, the Navier-Stokes equation cannot be used to describe the "liquid" of Fermi liquid.
Fermi liquid is just a description of a large number of fermions, such as electrons.
"So, a huge modification is needed to address the Navier-Stokes equation...however, its basic form can still be borrowed."
Lin Xiao stroked his chin. After a period of thinking, he began to move his hands on this great equation that was regarded as the basic law by the field of fluid mechanics.
"First, the properties of fermions, particles with half-integer spins, must be considered."
"Hmm... also need to take Pauli incompatibility into account."
"and also……"
In this way, Lin Xiao kept trying to construct the "Navier-Stokes Equation" that could describe the Fermi liquid, but because it involved quantum mechanics and entered the microscopic field, there were more things to consider, which obviously did not Equations that obey classical mechanics like NS equations are easy.
But as long as it can be constructed, Lin Xiao believes that it will become the NS equation of quantum mechanics.
So, this is very important.
Of course, this cannot be accomplished overnight.
So time passed quietly, 2022 passed, and the time came to 2023.
……
1 month 8 day.
In Lin Xiao's room, he suddenly raised his head, looked at a very complicated partial differential equation on the draft paper in his hand, and the expression on his face relaxed a little.
"Well, it's basically completed... However, the specific situation is hard to say, and a simulation is still needed."
And it was a very computationally intensive simulation.
"Looks like it's overkill."
If you use a supercomputer, it is naturally best to use Sunway TaihuLight. The processor chips inside are Huaguo's own, and the security and confidentiality are very good.
However, looking at the days, the Spring Festival is less than two weeks away. If he wants to apply for Sunway TaihuLight, he will have to wait in line again, and he will definitely have to go home by then.
Although he can jump in the queue, the jumping in the queue is generally for some more important projects. Although the value of the thing he is studying now is extraordinary, if it is really important, it must be unimportant in the eyes of others.
"Forget it, let's ask first, if it doesn't work, then wait a year later."
With this thought in mind, he logged on to the official website of Sunway TaihuLight, National Supercomputing Center, and started to apply.
The application needs to fill in relevant information, such as the title of the project, the scope of application, etc. Lin Xiao quickly completed the filling and then confirmed the application project.
Next, we need to wait for feedback from the other side, which may take a few days.
But Lin Xiao naturally didn't need to be so troublesome. He took out his mobile phone and asked someone to ask.
After a few phone calls, he got feedback quickly.
"Do you have to wait two weeks? Isn't it the Chinese New Year at that time?" Lin Xiao was very surprised.
The person on the other end of the phone was a professor from the School of Computer Science, Shangjing University, who answered Lin Xiao's question: "It seems that they are all the people who study the materials, especially since this year, especially after March. Going after three months, hey, it's outrageous."
"And I heard that it was their material science and condensed matter physics that came up with some important theory, which is very helpful to their research. It's called electron topology or something. Professor Lin, I heard that you also study Physics and materials, you should know, right?"
Lin Xiao was taken aback for a moment: "Ah, this..."
Electron topology theory?
I'm afraid it should be the electron topological bonding theory, right?
Good guy, I didn't expect him to cheat himself instead.
"Ahem, well, maybe not necessarily, anyway, thank you Professor Zhang, I understand."
"Well, that's fine." Professor Zhang from the opposite School of Engineering said: "Oh, by the way, Wang Wenguang, the director of the Xishi Supercomputing Center, said he would call you later. After I contacted him just now, he told me."
Lin Xiao became puzzled: "Director of the Supercomputing Center?"
"Yes, I don't know exactly what I'm looking for you for."
"Okay, thank you then."
"Ok."
After hanging up the phone, Lin Xiao rubbed his chin and thought about it.
What is it that made the director of the supercomputing center come to him in person?
He hasn't done any research on computers yet.
After thinking about it for a while, his cell phone rang.
It was the call from Xishi, and it seemed to be the director of the Xishi Supercomputing Center.
After connecting the phone, a voice came from the opposite side: "Is this Professor Lin? I am Wang Wenguang, Director of Xishi Supercomputing Center."
"I'm Lin Xiao." Lin Xiao said with a smile, "Director Wang, hello."
"Professor Lin, hello, hello." Wang Wenguang also responded immediately with a smile, and then continued: "Professor Lin, I heard that you just applied for the Light of Taihu Lake. Are you in a hurry?"
"It's not urgent, but Professor Zhang told me just now that I have to wait two weeks, and the Spring Festival will be in two weeks. I don't have time at that time, so I can only wait until the end of the year."
"Hehe, how about this, Professor Lin, let me arrange for you, and I will let you board the plane in two days. Don't worry, TaihuLight usually has backup nodes, and we won't arrange all the nodes to capacity. You What do you think?" Wang Wenguang smiled and said, "Although Professor Lin's subject is not urgent, it must be more important than other subjects, and it may be of great significance to our country."
Lin Xiao was taken aback, and said, "If it is possible, that is of course the best, but, is there something wrong with Director Wang?"
Wang Wenguang smiled heartily: "Sure enough, we can't hide it from Professor Lin, and it's actually not a big deal. You also know that our kind of supercalculators are like those who engage in computer..."
Lin Xiao was shocked: "What are you doing? Don't talk nonsense, I don't know."
Wang Wenguang froze. Although he was over 40 years old, surfing the Internet was a very common thing because of his computer research, so he understood what Lin Xiao meant, so he quickly said: "Professor Lin, don't get me wrong, I It’s a machine, it’s a computer, it’s a DIY console, you know that?”
DIY mainframe is to buy CPU, graphics card, memory, hard disk, etc., and then install a computer. This kind of thing is quite normal for people who are engaged in supercomputers like Wang Wenguang. Strictly speaking, Sunway TaihuLight, It can be regarded as a machine assembled by them DIY.
Lin Xiao suddenly realized it, and he naturally knew about it. Which boy didn't dream of assembling a console of his own when he was still fond of playing games?
But when he came back to his senses, his face showed embarrassment. Fortunately, he was on the phone, so he couldn't see his expression.
Pretending to forget about it, he said, "Ahem, I know, I know, Director Wang, you continue."
Wang Wenguang also tacitly didn't mention it. If people outside know that Director Lin of the X-ray Project is talking about this kind of thing with the director of the Supercomputing Center, then it will be fun.
"Ahem, all in all, we who are engaged in supercomputers, like those who engage in... assembling computers, hope to use better accessories for computers."
"Professor Lin should also know that the most important thing for a supercomputer is the performance of the processor, and our current Sunway TaihuLight processor is no longer good enough in the world, so we people, it's like building a better supercomputer Come out."
"It just so happens that we now have an X-lithography machine and can produce 5nm chips, so when we thought about it, we asked whether we should build another supercomputer, and the processor should also use 5nm, so we can directly fill it up. Professor Lin, you How do you feel?"
Lin Xiao was taken aback, and said, "This is a good thing. In the future, our demand for supercomputers will definitely increase. We also need more purely domestic supercomputers like Sunway TaihuLight. Otherwise, there will be no applications. It takes so long to wait in line.”
Then he asked suspiciously: "However, Director Wang, why are you asking me this? I'm not in your computer industry either."
Wang Wenguang smiled immediately: "But you made the lithography machine! Professor Lin, when I call you, I mainly ask you for two things. The first thing is that if we ask Huaxia Chip Manufacturing Company to build us When it comes to the processor chips we need, can you help us lower the price."
"The second thing is... um, is the Dingguang Research Institute interested in this matter? Our... budget may not be enough, so I want to ask if the Dingguang Research Institute can help?"
"Of course, after the Dingguang Research Institute has paid the money, when the new supercomputer is built, the Dingguang Research Institute will definitely be able to use it first if necessary."
Hearing the suggestion made by the other party, Lin Xiao was stunned for a moment. Good guy, it turned out that he ran out of money, so he came to ask him for help?
However, after thinking about it for a while, he felt that this proposal was good. He would inevitably need to use supercomputing in the future. Similarly, the future projects of the Dingguang Research Institute will definitely have places to use supercomputing.
Consider it an investment now.
So he said: "Director Wang, I agree with your proposal. Of course, we need to discuss more details later."
Hearing that Lin Xiao directly agreed, Wang Wenguang was naturally overjoyed, and immediately said: "Okay! That's for sure. If we have time later, let's talk about the details?"
"Okay." Lin Xiao said.
The two hit it off and temporarily confirmed the matter.
After they agreed on a time, they stopped talking and hung up the phone.
Similarly, Lin Xiao can also wait two days before using the Sunway Taihu Light.
……
Two days passed in a blink of an eye, Lin Xiao logged on to the website again, and saw that his application had been approved and he could go on the computer.
So he quickly operated the computer and entered the node, and then he entered the partial differential equation that he modified to describe the interaction between Fermi liquids into the program.
Then click Enter to start the calculation.
He stared at the computer screen, looking forward to the final result.
Chapter 323 Crisis!
Because it involves quantum, which even includes the calculation of the uncertainty principle, the amount of calculation this time is very large. Compared with the complexity of simulating liquids with the Navier-Stokes equation, the two are almost not at the same level.
Because of this, the time required this time is very long, even if a supercomputer is used.
However, Lin Xiao could afford to wait for this little time.
Once his model is successful, he will be able to perfectly find the similarities and differences between Fermi liquids and non-Fermi liquids, and then the answer to high-temperature superconductivity will be directly in front of him!
With excitement in my heart, just like that, after nearly an hour passed, the result popped up in the window in front of me.
Seeing that the final output was exactly the same as what he had predicted, an extremely excited expression suddenly appeared on his face.
It worked!
"Sure enough, calculating the Fermi liquid as a fluid is indeed a feasible solution!"
Lin Xiao was slightly excited in his heart.
Compared with the success of his partial differential equation, Fermi liquid can really be regarded as "liquid", which is obviously a more exciting thing for him.
This means that this is a unity of macro and micro.
But soon, he let go of the excitement in his heart, and turned his attention to the problem he was going to solve in the first place.
Immediately picked up the paper and pen from the side, he lowered his head and began to write.
"So, now I can directly describe the various behaviors of the Fermi liquid with this partial differential equation... Well, I should give this equation a name, just call it the Lin's Fermi liquid equation."
"Then, according to the form of Fermi liquid under Lin's Fermi liquid equation, we can start to explore the essence of non-Fermi liquid..."
With the help of this newly-named equation, Lin Xiao dissected the non-Fermi liquid like a cocoon.
"Based on the one-dimensional interaction of the Lattinger liquid, we can now try to deal with the edge Fermi liquid... and then deduce the proportional relationship for the critical point..."
Until the end, he couldn't help showing a dazed look on his face.
"Non-Fermi liquid, it turns out to be like this!"
"The BCS theory seems to be perfectly explained by the non-Fermi liquid theory!"
"That is to say, from the understanding of non-Fermi liquids, these correlated behaviors of electrons have become very easy to understand."
"And if it is linked to the strong correlation performance of electrons in high-temperature superconductors..."
Thinking of this, the excitement in his heart could no longer be suppressed.
The end of the high-temperature superconducting mechanism is infinitely closer to him!
"Then, next, it's time to try to combine all the theories to completely overcome this final level!"
Thinking of this, Lin Xiao directly picked up the pen and began to struggle towards the final theory.
The mechanism of high-temperature superconductivity, the answer that condensed matter physics has been looking for for decades, is about to be born in his hands!
……
a week later.
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