Section 217

"Now suppose there is an interfacial reaction system, in which substance A is transformed into substance B through diffusion and reaction at the interface..."

[For the concentration CA(x, t) of substance A, the reaction-diffusion equation is: CA/t=DA^2CA-kCA. ]

[For substance B...]

As the entire draft paper was filled with his writing, the pen in his hand finally stopped.

"In this way, by applying this process, I can start to create a model that can describe the relationship between electrodes and electrolytes!"

[For each ion i, the following reaction-diffusion equation can be written: Ci/t=Di^2CiJi+Ri(Ci,)]

[Here, Ji is the flux of the i-th ion, which can be expressed by the Nester-Planck equation: Ji=Di(Ci+(ziF/RT)Ci)]

"Well... the distribution of electric potential can be solved by the Poisson equation."

"Then there are the interface conditions. For the electrode and solid electrolyte that I am currently studying... Now assume that the reaction at the interface is..."

As Xiao Yi continued to deduce, a more and more complete model gradually appeared on the draft paper.

Until finally, the complete model was derived by him.

"Well, this should only be considered a primary model, and there are still quite a lot of things that have not been taken into account."

"If the principle of absolute electrons can be included, perhaps this model can be made more perfect."

"But it still lacks a little bit of specificity..."

Specificity, that is, specificity for interface reactions. The current model has a relatively large scope of application and is not accurate enough.

Just like the NS equation, it also extends to the Hagen-Poiseuille flow that describes pipe flow, and the Couette flow that describes two parallel plates.

However, this problem is not a problem for Xiao Yi.

He began to recall the scene when he used materials to master and observe solid electrolytes.

Carefully recall the various differences in the microscopic world.

Suddenly, his eyes lit up, and then he immediately took out a new draft paper and began to continue new deductions on it.

Time passed slowly.

It was not until several hours later, when the sky gradually darkened, that Xiao Yi raised his head again and smiled slightly.

"Well... it's basically done."

"As I thought before, even the reaction at the interface is ultimately the behavior of electrons."

"In the battery, whether it is an oxidation reaction or a reduction reaction, it is nothing more than a process of electron gain and loss."

"So..."

Xiao Yi smiled calmly.

Borrowing some inspiration from the absolute electronic calculation, he further optimized the reaction-diffusion equation that he had improved.

The traditional reaction-diffusion equation cannot fully describe the quantum migration behavior of electrons. For this reason, he spent a lot of time solving the Schrödinger equation of electrons at the interface, and finally obtained a sufficiently accurate solution.

According to this accurate solution, it is equivalent to obtaining the fine structure of the electron wave function, which describes the state and spatial distribution of electrons at different energy levels.

Using such a fine structure, he reconstructed the reaction-diffusion model just now and improved it to the extent that it can accurately describe the quantum tunneling effect and Coulomb interaction of electrons, so that a more complete simulation of the actual interface reaction process can be performed.

"However, this is not enough..."

Xiao Yi glanced at the remaining part.

The state density at the interface is also a key factor affecting electron migration. If the state density can be included, this model can be regarded as accommodating the core part of the absolute electronic principle.

"But to calculate the state density, a calculation model is needed."

This is not something Xiao Yi can calculate manually - of course, he can also calculate it, but the process that can be handed over to the computer should be handed over to the computer.

"As for this conclusion... Let's name it the electron-interface reaction migration model first."

Xiao Yi smiled slightly, and then he was about to go to the computer room.

The calculation of state density requires a computer, and their laboratory, of course, also has a server.

But at this time, the door of the office was knocked.

His assistant Wang Hao walked in.

"Director Xiao, Director Zhao of the plasma institute next door just called and said that he wanted to meet you tomorrow."

"Plasma institute?"

Xiao Yi was startled.

Why did the people from the plasma institute come to him?

But he nodded first and said, "I see."

"Besides, is there no one using the computer room? I need to use it now."

"It's not available now." Wang Hao said.

"That's fine. I'm going to use the server now."

Xiao Yi nodded.

"Okay, I'll prepare it for you now." Wang Hao said respectfully, and then he left the office.

Looking at Wang Hao's diligent figure, Xiao Yi couldn't help but sigh. No wonder everyone likes to be a leader. Even if you go to the computer room to turn on a machine, someone will help you do it.

But...

"I always feel that this laboratory is a bit small."

He touched his chin.

As the laboratory began to recruit people, it naturally made the laboratory look smaller.

The most important thing is that when various functional rooms are used by people, if he wants to use them, he also needs to see the arrangement.

Of course, as the director of the laboratory, he still has some privileges. At least when others use it, they need to apply for it and see how it is allocated, but as long as no one uses it, he can go in and use it directly.

However, he still began to feel that the laboratory was not enough.

"Can we prepare for expansion?"

Xiao Yi looked out from the window of the office.

Well, what can be seen is a lake view of Shushan Lake. Of course, the laboratory is still a distance away from Shushan Lake, so there is still a large open space.

In addition to the side he can see, there are still many open spaces around the laboratory.

These open spaces are deliberately reserved, which is specially prepared for the future expansion of the Science Island Laboratory.

In total, there are more than 100 acres of land.

As for why it was not allocated to the laboratory at the beginning, after all, they still want to see how much value the Science Island Laboratory can play under the leadership of Xiao Yi.

It is considered to be waiting for a price.

However, at present, based on the achievement of high-temperature superconductors, it is basically enough.

The leaders of Fei City talked to him about this some time ago.

Now, he really has this idea again.

"This building will be used as a condensed matter laboratory in the future."

"Then build a special material laboratory over there."

"Build a mathematics and mathematical physics laboratory over there."

"Well... there are also administrative buildings and dormitories."

Xiao Yi's mind seemed to have emerged with the planning and layout of the future Science Island Laboratory.

Of course, all of this requires money.

"Well... then wait for me to make this battery."

After the battery is made, he will have more reason to ask for money.

By then, the Science Island Laboratory upgrade plan will surely be officially implemented.

At this time, Wang Hao walked in again and said to Xiao Yi: "The computer room is ready, you can go now."

Xiao Yi nodded, and then temporarily stopped his imagination in his mind, and then went to the computer room and began to prepare to calculate the state density required in the electron-interface reaction migration model.

...

In the following time, Xiao Yi began to devote all his energy to the task of perfecting the electron-interface reaction migration model.

For now, this model can only be regarded as a framework structure. To make it closer to perfection, it needs to be adjusted continuously and some factors that have not been considered before should be added into it.

Including the solution of the Schrödinger equation of the electron at the interface that he solved, there is still room for improvement. Using the computer method, a better solution can be obtained.

In this way, time passed slowly and it came to the second day.

…

Today is the day when the director of the Institute of Plasma Physics has an appointment with Xiao Yi.

After some discussion, Xiao Yi was finally invited to visit the Institute of Plasma Physics.

"This is EAST, the Eastern Super Ring."