We found experimentally as well as theoretically the electron field emission (eFE) from sp³-bonded BN microcones to be macroscopically a nonlinear cooperative phenomenon, supported by a 2-dimensional nonlinear dynamical system model. The eFE system is in a stationary nonequilibrium state where the energy is dissipated and Joule-heating of the electron emitters produces the entropy. Our model was based on the principle of minimum entropy production for the nonequilibrium stationary state. The theoretical prediction was in agreement with the quantitative data for the eFE from sp³-bonded BN microcone emitters prepared by chemical vapor deposition from  plasma where the growing film surface was irradiated with ArF pulsed excimer laser at 193 nm. As an application, a light-emitting device using this material was fabricated and the current-voltage characteristics were also reproduced well by the model.