  Epstein's model for a civil disorder is an agent-based model that simulates a
social protest process where the central authority uses the police force to
dissuade it. The interactions of police officers and citizens produce dynamics
that do not yet have any analysis from the sociophysics approach. We present
numerical simulations to characterize the properties of the one-dimensional
civil disorder model on stationary-state. To do this, we consider interactions
on a Moore neighborhood and a random neighborhood with two different visions.
We introduce a Potts-like energy function and construct the phase diagram using
the agent state concentration. We find order-disorder phases and reveal the
principle of minimum grievance as the underlying principle of the model's
dynamics. Besides, we identify when the system can reach stable or an
instability conditions based on the agents' interactions. Finally, we
identified the most relevant role of the police based on their capacity to
dissuade a protest and their effect on facilitating a stable scenario.
