Complex methods are employed to simulate the fundamental concepts behind complex systems' phase changes. Statistical mechanics is one such technique that captures the system's complex behavior by considering the interactions among its various elements. Simple physical systems are governed by the fundamental laws of quantum mechanics and our ability to track all relevant degrees of freedom. Evaluating the system's diverse states and their possible outcomes allows researchers to recognize the macroscopic differences that result from minor modifications. Critical points and the phase transition process's requirements are anticipated, and these factors may alter as essential elements such as complexity, disruptions, or long-range connections are taken into consideration. By blending mathematical models with algorithmic methods, researchers can also explain and evaluate nonlinear dynamics and whether the system is in a metastable state. As a result, these techniques help anticipate and demonstrate the solutions that material systems may transport in various situation.

Your Ansatz to solve this problem might inspired by the second law of Complexity, originally discovered by Brown and Susskind

Preprint The Second Law of Quantum Complexity

This is roughly the idea, that the system follows indefinite complexity instead of the second law of Thermodynamics, but complexity possibly doesn't replace the second law of thermodynamics. It is more man explanation why the thermodynamic limit is really infinite.