Statistical mechanics explores how the chaotic motion of countless tiny particles gives rise to the predictable laws governing heat, pressure, and phase transitions. This field bridges the gap between the microscopic world of atoms and the macroscopic reality we experience daily, offering deep insights into why materials behave the way they do.

On Gist.Science, we process every new preprint in this category as it appears on arXiv to make these complex findings accessible to everyone. For each paper, we provide both a plain-language explanation for the curious reader and a detailed technical summary for specialists, ensuring that groundbreaking research is never lost behind a wall of jargon.

Below are the latest papers in statistical mechanics, freshly curated and summarized to help you understand the cutting edge of this fascinating discipline.

🔢 mathematics

Population dynamics of surface-mediated autocatalytic processes

This paper investigates the stochastic population dynamics of surface-mediated autocatalytic processes where particles diffuse and undergo competing replication or death events, providing a systematic theoretical analysis of the population's statistical properties across vanishing, steady-state, and exponential growth regimes supported by numerical solutions and Monte Carlo simulations.

Denis S. Grebenkov, Yilin Ye2026-06-12
🔬 mesoscale physics

Thermoelectric information engine driven by an autonomous Maxwell demon across quantum-to-classical transitions

This paper investigates a three-terminal thermoelectric engine driven by an autonomous Maxwell demon to identify two distinct quantum-to-classical transitions—one controlled by interdot tunneling and another by phonon-induced decoherence—revealing how quantum coherence can enhance information flow and engine performance in specific regimes.

Maximiliano Bernal Santibañez, Felipe Barra, Jose Mondaca2026-06-12
⚛️ quantum physics

A refined thermodynamic analysis of nonsecular master equations

This paper establishes a unified thermodynamic framework for nonsecular master equations by incorporating system-bath interaction energy and Lamb shifts into the energy balance, demonstrating that while these approximations lead to non-Gibbs steady states and distinct entropy production rates compared to the Spohn inequality, no work can be cyclically extracted from the steady state in a single thermal bath scenario.

Mohamed Boubakour, Talia Szikman, Cyril Elouard2026-06-12
⚛️ quantum physics

Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity

This paper demonstrates that mixed-state subsystem symmetry-protected topological order in cluster states remains robust up to maximal decoherence rates when noise respects strong subsystem symmetry, and proposes "spurious topological entanglement negativity" as a constant correction to area-law scaling for detecting this order while highlighting the non-invariance of standard topological entanglement negativity under finite-depth quantum channels.

Seunghun Lee, Eun-Gook Moon2026-06-11
⚛️ quantum physics

Spectral Decimation of Quantum Many-Body Hamiltonians

This paper introduces spectral decimation as a systematic and computationally efficient diagnostic tool that quantifies emergent symmetries in quantum many-body systems by identifying characteristic symmetry sectors, thereby distinguishing between chaotic dynamics, statistical mixtures, and emergent integrability in fragmented and many-body localized systems.

Feng He, Arthur Hutsalyuk, Giuseppe Mussardo, Andrea Stampiggi2026-06-11