Yes—many theoretical models of active matter show that energy-consuming components can spontaneously generate order out of initially disordered states. The key idea is that each unit (self-propelled particle, molecular motor, etc.) injects energy locally, and through interactions with neighbors this nonequilibrium drive leads to collective patterns that would be forbidden in equilibrium statistical mechanics.

Examples from theoretical models:

Vicsek model (1995): One of the simplest models, where point particles move at constant speed but update their heading based on the average orientation of neighbors plus noise. Even with only local alignment and random noise, the system undergoes a transition from disorder to large-scale flocking—showing that order emerges spontaneously from active driving.

Active Brownian particles (ABPs): Self-propelled particles with only repulsive interactions can undergo motility-induced phase separation (MIPS), where the system separates into dense clusters and dilute gas-like regions, even though equilibrium thermodynamics would predict a homogeneous distribution.

Active nematics: Models of rod-like particles with active stresses (e.g., from motor proteins or cytoskeletal filaments) develop large-scale nematic order, spontaneous flows, and topological defect dynamics. Order arises from local extensile or contractile activity rather than thermal equilibration.

In all these cases, the “extraction of order from disorder” reflects the fact that activity continuously supplies energy at the microscopic level, breaking detailed balance and allowing new steady states—flocks, bands, clusters, or defect-ordered patterns—that have no equilibrium analog.

Clear and concise, many thanks!!