An information and field theoretic approach to the grand canonical ensemble

Conference item

We present a novel derivation of the constraints required to obtain the underlying principles of statistical mechanics using a maximum entropy framework. We derive the mean value constraints by use of the central limit theorem and the scaling properties of Lagrange multipliers. We then arrive at the same result using a quantum free field theory and the Ward identities. The work provides a principled footing for maximum entropy methods in statistical physics, adding the body of work aligned to...

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Authors: Granzio, D; Roberts, S

• Publication status: Accepted
• Publisher: Springer Publisher's website
• Host title: Maximum Entropy Methods in Science and Engineering: 37th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, July, 09-14, 2017 – Paradies Resort Hotel – Jarinu/SP – Brazil
• Journal: Maximum Entropy Methods in Science and Engineering: 37th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, July, 09-14, 2017 – Paradies Resort Hotel – Jarinu/SP – Brazil Journal website
• Publication date: 2018-01-01
• Acceptance date: 2016-12-29