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The Lindbladian formalism models open quantum systems using a 'bottom-up'approach, deriving linear dynamics from system-environment interactions. Wepresent a 'top-down' approach starting with phenomenological constraints,focusing on system's structure, subsystems' interactions, environmentaleffects, and often using a non-equilibrium variational principle designed toenforce strict thermodynamic consistency. However, incorporating the secondlaw's requirement -- that Gibbs states are the sole stable equilibria --necessitates nonlinear dynamics, challenging no-signaling principles incomposite systems. We reintroduce 'local perception operators' and show thatthey allow to model signaling-free non-local effects. Using thesteepest-entropy-ascent variational principle as an example, we demonstrate thevalidity of the 'top-down' approach for integrating quantum mechanics andthermodynamics in phenomenological models, with potential applications inquantum computing and resource theories.

No-Signaling in Steepest Entropy Ascent: A Nonlinear Non-local Non-equilibrium Quantum Dynamics of Composite Systems