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Paradoxical behaviour of mechanical and electrical networks


WE describe here a network of strings and springs in which cutting a string that supports a weight results in a rise of the weight at equilibrium. In an analogous electronic circuit of passive two-terminal devices (resistors and Zener diodes), adding a current-carrying path increases the voltage drop across the circuit. These systems are mechanical and electrical analogues of a paradox of congested traffic flow1,2. Along with similar hydraulic and thermal analogues, they show how non-intuitive equilibrium behaviour can arise in physical networks made up of classical components.

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Cohen, J., Horowitz, P. Paradoxical behaviour of mechanical and electrical networks. Nature 352, 699–701 (1991).

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