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Using a system of repulsive, soft particles as a model for a jammed solid, weanalyze its force network as characterized by the magnitude of the contactforce between two particles, the local contact angle subtended between threeparticles, and the local coordination number. In particular, we measure thelocal contact angle distribution as a function of the magnitude of the localcontact force. We find the suppression of small contact angles for locallylarger contact forces, suggesting the existence of chain-like correlations inthe locally larger contact forces. We couple this information with acoordination number-spin state mapping to arrive at a Potts spin model withfrustration and correlated disorder to draw a potential connection betweenjammed solids (no quenched disorder) and spin glasses (quenched disorder). Weuse this connection to measure chaos due to marginality in the jammed system.In addition, we present the replica solution of the one-dimensional, long-rangePotts glass as a potential toy building block for a jammed solid, where a seaof weakly interacting spins provide for long-range interactions along achain-like backbone of more strongly interacting spins.

Force network analysis of jammed solids