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quantumkiko
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Does this suggest that the 2nd law of thermodynamics has a quantum mechanical origin?
Yes, quantum evolution is time symmetric. But that doesn't prevent entropy from increasing in one direction. Hence the notion of "thermodynamic arrow of time" (time increases in the direction of entropy increase).cesiumfrog said:No, since thermodynamics can be derived from statistics of ideal classical bodies (and quantum evolution is time symmetric).
quantumkiko said:How is the 2nd law of thermodynamics related to the uncertainty principle?... Does this suggest that the 2nd law of thermodynamics has a quantum mechanical origin?
Did you read the other posts?Mapes said:The Second Law is derivable from classical systems, so no, I wouldn't say it has a quantum mechanical origin.
The second law of thermodynamics states that the total entropy of a closed system always increases over time. This is related to the uncertainty principle, which states that it is impossible to know the exact position and momentum of a particle simultaneously. This means that there is a fundamental limit to our ability to predict the behavior of a system, and this uncertainty contributes to the increase in entropy.
The second law of thermodynamics can be thought of as a statement about the direction of time - things tend to become more disordered over time. The uncertainty principle adds to this by saying that even if we knew all the information about a system at a given time, we cannot accurately predict its future behavior due to the inherent uncertainty in the position and momentum of its particles.
Yes, there are mathematical relationships between the two principles. For example, the entropy of a system can be calculated using statistical mechanics, which is based on the principles of quantum mechanics that underlie the uncertainty principle.
The second law of thermodynamics applies to all physical systems, including those in the real world. It is a fundamental law of nature that governs the behavior of energy and matter, and it has been extensively studied and observed in various systems, from the microscopic level of atoms to the macroscopic level of the universe.
The connection between these two principles has significant implications for our understanding of the behavior of physical systems. It highlights the inherent limitations in our ability to predict the future and emphasizes the importance of considering the probabilistic nature of quantum mechanics in our understanding of thermodynamics.