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

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  • Aghamohammadi, Amir

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.

Suggested Citation

  • Aghamohammadi, Amir, 2018. "Constraints and phase transitions: Phase transition in infinite compound Atwood’s machine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 873-879.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:873-879
    DOI: 10.1016/j.physa.2018.05.002
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