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.

🔬 condensed matter

Quantitative low-temperature spectral asymptotics for reversible diffusions in temperature-dependent domains

This paper derives novel low-temperature spectral asymptotics for reversible diffusions in temperature-dependent domains with Dirichlet boundary conditions, extending the Eyring-Kramers formula to provide precise estimates of the spectral gap and principal eigenvalue that offer new insights into the sensitivity of the spectrum to domain shape and inform the optimization of accelerated molecular dynamics algorithms.

Noé Blassel, Tony Lelièvre, Gabriel Stoltz2026-09-18