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.

🔬 physics

Mean-field interactions between living cells in linear and nonlinear elastic matrices

This paper investigates how living cells mechanically interact within linear and nonlinear elastic matrices by calculating the work required to deform the surrounding medium, revealing that interaction energy depends on cell geometry and material properties in linear matrices, while in strain-stiffening nonlinear matrices, cell contraction is limited by diverging shear stress.

Chaviva Sirote, Yair Shokef2026-08-27
🔢 mathematics

The distribution of the moment of inertia for harmonically trapped noninteracting Bosons at finite temperature: large deviations

This paper computes the full probability distribution of the moment of inertia for a harmonically trapped noninteracting Bose gas in the thermodynamic limit, demonstrating that its large deviation rate function exhibits a singularity at a critical value that serves as a real-space diagnostic for the Bose-Einstein condensation transition in dimensions greater than two.

Manas Kulkarni, Satya N. Majumdar, Gregory Schehr2026-08-27
🔬 physics

(k,n)(k,n)-core percolation on hypergraphs with anchor nodes

This paper introduces a theoretical framework for (k,n)(k,n)-core percolation on hypergraphs with anchor nodes to model how essential and non-essential node roles affect network robustness, deriving self-consistency equations and phase diagrams that reveal how functional heterogeneity and interaction ranges influence the emergence of giant cores through both continuous and discontinuous transitions.

Hoseung Jang, Byungjoon Min, Ginestra Bianconi2026-08-27
🔬 condensed matter

Exact chemo--thermal Metropolis Brownian engine: chemical leverage, temperature-neutral stall, power optimization, and multicyclic dissipation

This paper presents an exactly solvable three-state chemo-thermal Metropolis Brownian engine model that derives exact expressions for stationary currents and stall forces without relying on linear-response or weak-driving approximations, revealing a unique temperature-neutral chemical compensation point where reversible stall occurs with vanishing heat exchange.

Mesfin Taye2026-08-27