The laws of thermodynamics can fundamentally fail if you try to move a system too slowly, proving that 'patience' isn't always a physical virtue.
April 14, 2026
Original Paper
Spectral Softening and the Structural Breakdown of Thermodynamic Equilibrium
arXiv · 2604.10216
The Takeaway
In certain systems, thermodynamic reversibility breaks down even if you drive them infinitely slowly because the internal timescales become infinite. It proves that 'going slow enough' to maintain equilibrium isn't always possible, exposing a hard limit to the basic laws of physics.
From the abstract
Under sufficiently slow driving, thermodynamics predicts reversible evolution through a sequence of equilibrium states. We show that this expectation fails near spectral degeneracy in driven quadratic Hamiltonian systems. As the soft-mode frequency collapses, the intrinsic dynamical timescale diverges and quadratic confinement is lost, leading to a breakdown of timescale separation and the failure of adiabatic following even under arbitrarily slow driving. More precisely, adiabaticity is lost on