Exercise as prelude to Lecture 3. Thermodynamic Geometry 3. Peter Salamon Udine Advanced School October 2005. Fluctuation Theory. Q1: Whose grave?. Q2: What does it mean?. S=k ln . Q3: Solve for Ω = . Einstein fluctuation theory. The relative likelihood of a fluctuation is. Thesis:.
Udine Advanced School
Q1: Whose grave?
Q2: What does it mean?
Q3: Solve for Ω =
Einstein fluctuation theory
The relative likelihood of a fluctuation is
Apply principle to
All states equally likely.
Physical interpretation is that the local densities in a subsystem are obtained by a random walk with 1/volume playing the role of time.
NOTE: The metric matrix is in general the inverse of the covariance matrix. This problem is just a special case of this general fact, albeit a rather important one for simulated annealing
The previous problem: