Seminar on Foundations of Statistical Mechanics

Winter semester 2020/21

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• Description: While statistical mechanics is widely used in physics, experts are still debating its foundations, about issues such as, what is the justification for the use of ensembles? What exactly is the origin of irreversibility, given that the microscopic laws are reversible? Does it come from the way intelligent observers consider or prepare physical systems? The prime example of irreversible behavior is the second law of thermodynamics, which asserts that entropy can increase but not decrease with time. However, one can find several different (and apparently inequivalent) definitions of entropy in the literature. Is there a correct one, and which one is it? According to the so-called "past hypothesis," the initial state of the universe had very low entropy. Does that explain irreversibility? Or does, on the contrary, the past hypothesis need an explanation? What would count as such an explanation? In this seminar, we want to get to the bottom of these questions and get to know important viewpoints along with the relevant arguments in their favor or against them. We will give particular weight to the Boltzmann equation as a case study. We will also sometimes discuss how quantum mechanics or general relativity change the considerations, but prior knowledge about quantum mechanics or general relativity is not required.
• Prerequisites: Analysis 1 and 2, linear algebra. Recommended: courses in probability theory and/or statistical physics. Helpful: quantum mechanics.
• Studiengänge: B.Sc., B.Ed., M.Sc., M.Ed. in math, physics, or philosophy. Philosophers need background in math and physics.
• Language of presentations: English or German (English preferred)
• Talks: 90 minutes, one talk per week
• Time and day: Tue 3:30-5pm.
• Online or on campus: The seminar will meet via zoom (video conference).
• List of talks:

• Literature: recommended individually by topic of the presentation.