Constraints and phase transitions: Phase transition in infinite compound Atwood’s machine

Amir Aghamohammadi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 506, issue C, 873-879

Abstract: A compound Atwood’s machine with N+1 different masses, e.g. mk≔αk−1m, is considered. It is shown that at the large N limit and at a critical value, αc=1∕4, system admits a phase transition. The critical exponent is obtained. In the low α phase, surprisingly the effective mass of a compound Atwood’s machine becomes zero. The more realistic compound Atwood’s machine with massive pulleys and non-slipping strings may also exhibit similar phase transition.

Keywords: Constraints; Phase transition; Mechanics (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:506:y:2018:i:c:p:873-879

DOI: 10.1016/j.physa.2018.05.002

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