Is surface tension conservative?

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Hanyu Ye
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Hello, everybody. Is surface tension a conservative force? I think so, because it is related to surface energy. But I am not 100% sure. Thanks a lot.
 
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Interesting question.

I think 'no', because the contact angle can assume a range of values (hysteresis, canthotaxis) and the surface will still be considered in thermodynamic equilibrium. On the other hand, the existence of capillary waves would seem to imply the converse.