I am trying to understand the connection between entropy and the amount of energy theoretically required to measure the microstate of a system given its macrostate. My understanding is that entropy is related to the number of possible microstates corresponding to a macrostate, but I am unsure about its direct relationship to the energy cost of measuring these microstates.
Can someone please clarify the following:
- How is entropy conceptually linked to the energy cost associated with measuring the microstate of a system?
- Is there a quantitative relationship between entropy and the energy required for such measurements?
- In what ways does the concept of temperature play a role in connecting entropy and energy measurement in statistical mechanics?
Ofcourse I understand that it would be VERY impractical to measure the actual microstate of the system. However I am interested in the theoretical concept of measuring its microstate and how that would relate to the quantity "entropy".
I would appreciate any insights or references that can help me better grasp the underlying physics of this relationship. Thank you!
