How Does Entropy Influence Hawking Radiation in Black Holes?

[avito009]

I know that entropy is a measure of disorder. But Entropy is also a function of the state of a system, and has a value determined by the state variables of the system.

Does that mean Entropy describes the equilibrium state of a system. Please explain in layman terms in this context what is Entropy. Please show some example also.

Next since it was known that surface area of a black hole increases due to entropy increase. Also if there was entropy there would be temperature and also radiation. There would be radiation and so there would be quantum mechanical effect whre virtual particles are created one of the pair is sucked inside black hole and one from the pair stays at the event horizon which is hawking radiation.

Just want more insights on the last para.

 

[Vanadium 50]

Does that mean Entropy describes the equilibrium state of a system. Please explain in layman terms in this context what is Entropy. Please show some example also.

"Please write me a textbook".

People would be more willing to spend their time answering your questions if you were willing to put in more time yourself.

 

[avito009]

I will tell you what I know

Lets take an example. If there is a box with large volume. And if you put the marble in the box and close it. Then you shake the box. The marble could be anywhere. So that's what happens with atoms also. They can be at any states. Many of them could be at the same state.

Please add your comments and tell me if you have an alternate explanation.

 

[avito009]

Something more I learned is to be verified by you people.

I learned that

In quantum mechanics, quantum state refers to the state of a quantum system. A quantum state is given as a vector in a vector space, called the state vector. The state vector theoretically contains statistical information about the quantum system.

The quantum state of a system is indeed its state vector which contains statistical information about it. The particle's location, momentum, wavefunction and.. energy level. Am I right?

 

[pmacias]

In layman's terms, entropy is a measure of disorder or randomness in a system. It is a function of the state of the system, meaning it is influenced by the variables that describe the system. For example, if you have a messy room, the entropy is high because there are many ways the objects can be arranged. But if you clean up and organize the room, the entropy decreases because there are fewer possible arrangements.

In the context of black holes, the increase in entropy is related to the increase in surface area. As a black hole absorbs matter and energy, its surface area increases, leading to an increase in entropy. This is due to the fact that there are more possible ways for the matter and energy to be distributed within the black hole.

This increase in entropy also leads to the production of Hawking radiation. According to quantum mechanics, even in a vacuum, particles and antiparticles can be created in pairs. In the case of a black hole, one particle from the pair can be pulled into the black hole, while the other escapes and becomes Hawking radiation. This process is possible because of the increase in entropy and the associated increase in temperature.

Overall, Hawking radiation is a consequence of the increase in entropy of a black hole, and it provides insights into the quantum mechanical effects that occur at the event horizon.