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.

⚛️ quantum physics

Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars

This paper establishes a duality between open many-body systems satisfying detailed balance and closed bilayer systems, revealing that the identity operator and specific eigen-operators of the Lindbladian map to quantum many-body scars in the form of thermofield double states with tunable entanglement and exponential decay dynamics.

Alexander Teretenkov, Oleg Lychkovskiy2026-01-23
💬 NLP

Berezinskii--Kosterlitz--Thouless transition in a context-sensitive random language model

Inspired by the one-dimensional Potts model, this paper constructs a context-sensitive random language model that exhibits a Berezinskii--Kosterlitz--Thouless (BKT) phase transition, suggesting that the critical properties observed in natural languages may arise generically from underlying BKT phases rather than requiring fine-tuning or self-organized criticality.

Yuma Toji, Jun Takahashi, Vwani Roychowdhury, Hideyuki Miyahara2026-01-23
🔬 condensed matter

Simulating generalised fluids via interacting wave packets evolution

This paper introduces an efficient simulation framework that models Generalized Hydrodynamics as a gas of interacting semiclassical wave packets, enabling fast large-scale studies of quasi-integrable systems with integrability-breaking perturbations while revealing that long-range correlations can persist indefinitely even when local observables appear thermalized.

Andrew Urilyon, Leonardo Biagetti, Jitendra Kethepalli, Jacopo De Nardis2026-01-23