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

Frustration-free free fermions and beyond

This paper establishes a general framework for frustration-free fermionic systems by deriving necessary and sufficient conditions for free fermion models, proving that band touchings in translation-invariant systems are at least quadratic, and demonstrating that interacting, non-translation-invariant systems with power-law ground-state correlations exhibit finite-size gaps scaling as O((log⁡L)2/L2)O((\log L)^2/L^2).

Rintaro Masaoka, Seishiro Ono, Hoi Chun Po, Haruki Watanabe2026-07-09
🧬 biology

Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements

This paper introduces a model-free method to quantify irreversibility in stochastic systems by categorizing single-molecule displacements, enabling precise measurement of entropy production without prior knowledge of system forces and successfully applying this approach to reveal detailed features of protein folding energy landscapes.

Alvaro Lanza, Inés Martínez-Martín, Rafael Tapia-Rojo, Stefano Bo2026-07-09
🔬 condensed matter

Chromatic Zeros on the Limit G∞(p,ℓ)G^{(p,\ell)}_\infty of the Family Gm(p,ℓ)G^{(p,\ell)}_m of Hierarchical Graphs

This paper calculates the continuous accumulation set of chromatic polynomial zeros for an infinite family of hierarchical graphs by employing real-space renormalization group transformations on the Potts model partition function to determine critical points and ground-state degeneracies for various structural parameters.

Shu-Chiuan Chang, Robert Shrock2026-07-09
⚛️ quantum physics

Universal purification dynamics of monitored Clifford circuits

This paper demonstrates that monitored Clifford circuits exhibit universal purification dynamics governed by an exactly solvable Markovian death process, allowing for the derivation of full scaling functions for all Rényi entropies without the replica trick while revealing unique signatures like O(1)O(1) entropy fluctuations and logarithmic temporal modulations that distinguish them from generic monitored circuits.

Beatrice Magni, Federico Gerbino, Xhek Turkeshi, Andrea De Luca2026-07-09
🔢 mathematics

Invariant Measures for Soliton Systems Generated by Mealy Automata

This paper establishes sufficient conditions for the invariance of Bernoulli and Markov measures in soliton systems generated by Mealy automata, applies these findings to prove measure invariance for three specific box-ball system variants, and computes their fundamental soliton characteristics to lay the groundwork for studying generalized hydrodynamics in these systems.

Takahiro Kanazawa, Yutaro Nakabayashi2026-07-09
🔬 mesoscale physics

Magnetotransport of tomographic electrons in a Corbino disk

This paper demonstrates that tomographic electron transport in a Corbino disk generates a superballistic boundary layer that parametrically enhances quadratic magnetoresistance through electrode curvature, revealing three distinct magnetic field regimes (tomographic, hydrodynamic, and Ohmic) and offering a potential explanation for anomalous electron viscosity scaling observed in experiments.

Nitay Ben-Shachar, Johannes Hofmann2026-07-08
🔬 condensed matter

Complete local expansion of the availability function in random sequential adsorption of aligned squares at low density: Termination at fourth order

This paper derives and confirms through numerical simulations that the low-coverage expansion of the availability function for random sequential adsorption of aligned squares terminates exactly at the fourth order, as no more than four previously deposited squares can simultaneously overlap with a trial exclusion region.

F. Tolea, M. Tolea2026-07-08