Competition between ferro-retrieval and anti-ferro orders in a Hopfield-like network model for plant intelligence

Physics – Condensed Matter – Disordered Systems and Neural Networks

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To be pulished in Physica A (Proc. STATPHYS-KOLKATA V), 9 pages, 6 eps figs

Scientific paper

10.1016/j.physa.2004.08.050

We introduce a simple cellular-network model to explain the capacity of the plants as memory devices. Following earlier observations (Bose \cite{Bose} and others), we regard the plant as a network in which each of the elements (plant cells) are connected via negative (inhibitory) interactions. To investigate the performance of the network, we construct a model following that of Hopfield, whose energy function possesses both Hebbian spin glass and anti-ferromagnetic terms. With the assistance of the replica method, we find that the memory state of the network decreases enormously due to the effect of the anti-ferromagnetic order induced by the inhibitory connections. We conclude that the ability of the plant as a memory device is rather weak.

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