Spontaneous Symmertry Breaking in Finite Systems

Philosophy of Science 83 (4):585-605 (2016)
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Abstract

The orthodox characterization of spontaneous symmetry breaking in statistical mechanics appeals to novel properties of systems with infinite degrees of freedom, namely, the existence of multiple equilibrium states. This raises the same puzzles about the status of the thermodynamic limit fueling recent debates about phase transitions. I argue that there are prospects of explaining the success of the standard approach to SSB in terms of the properties of large finite systems. Consequently, despite initial appearances, the need to account for SSB phenomena does not offer decisive support to claims about the explanatory and representational indispensability of the thermodynamic limit.

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James Fraser
University of Wuppertal

References found in this work

Galilean Idealization.Ernan McMullin - 1985 - Studies in History and Philosophy of Science Part A 16 (3):247.
On the explanatory role of mathematics in empirical science.Robert W. Batterman - 2010 - British Journal for the Philosophy of Science 61 (1):1-25.
Critical phenomena and breaking drops: Infinite idealizations in physics.Robert Batterman - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (2):225-244.
Curie’s Principle and spontaneous symmetry breaking.John Earman - 2004 - International Studies in the Philosophy of Science 18 (2 & 3):173 – 198.

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