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

Energy-Weighted Site Percolation in Two Dimensions

This paper investigates a generalized two-dimensional site percolation model with energy-weighted bonds, demonstrating through Monte Carlo simulations and real-space renormalization-group methods that varying the bond energy continuously interpolates between distinct regimes of cluster connectivity, systematically shifts the percolation threshold, and alters critical exponents in agreement with Coulomb-gas predictions.

Sayan Sircar, Kabir Ramola2026-05-19
🔬 physics

Physics in the Public Square: University Extension as a Strategy for Integrating Physics Education and Science Communication

This study demonstrates that a university extension activity involving undergraduate physics students designing and presenting low-cost didactic experiments in a public space effectively bridges the gap between academia and society by enhancing student learning, developing communication skills, and fostering scientific curiosity among the community.

Andre A. A. Marinho, Gisele B. Freitas, Camila B. C. da Silva2026-05-19✓ Author reviewed ⓘ
🔬 condensed matter

Localization of a quantum particle in a classical one-component plasma.III. Mutual coherence and coherence degradation in Coulomb-disordered media

This paper derives a universal relation linking the transverse coherence length of an electron beam to the single-particle localization length in Coulomb-disordered media, revealing distinct energy dependences for static and dynamic plasmas and highlighting the significant impact of disorder-induced phase decorrelation on high-resolution electron microscopy.

Yury A. Budkov2026-05-19
🌀 nonlinear sciences

Topological constraints on self-organisation in locally interacting systems

This paper establishes necessary topological constraints on graph structures that enable or prevent long-range order in locally interacting systems, demonstrating how interaction combinatorics dictate the capacity for self-organization and explaining the superior pattern-forming abilities of biological multiscale systems compared to rudimentary language models.

Francesco Sacco, Dalton A R Sakthivadivel, Michael Levin2026-05-18
⚛️ high-energy theory

Deconfined quantum criticality with internal supersymmetry

This paper extends the deconfined quantum criticality paradigm to systems with internal supersymmetry by proposing a supersymmetric deconfined quantum critical point (sDQCP) between an OSp(1∣2)OSp(1|2)-breaking phase and a lattice rotation-breaking phase, which is described via a non-linear sigma model on a supersphere and a gauge theory, and shown to continuously connect to the conventional DQCP when supersymmetry is explicitly broken.

Zhi-Qiang Gao, Hui Yang, Yan-Qi Wang2026-05-18