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

Phase transitions in first-detection statistics of monitored long-range quantum walks

This paper demonstrates that the first-detection return probability of long-range quantum walks undergoes a continuous phase transition at a critical hopping exponent α=1\alpha=1, separating recurrent and transient behaviors, with nonanalytic decay exponents arising from measurement-induced interference between infrared and ultraviolet energy modes.

Sayan Roy, Shamik Gupta, Giovanna Morigi, Gabriele Perfetto2026-09-10
🔬 condensed matter

Disordered Yet Directed: The Emergence of Polar Flocks with Disordered Interactions

This paper demonstrates that in a self-propelled particle model with disordered, spin-glass-like alignment couplings, increasing interaction variance can paradoxically promote global polar order by enabling activity-driven local clustering that mitigates frustration, allowing flocks to emerge even when most interactions are antialigning.

Eloise Lardet, Raphaël Voituriez, Silvia Grigolon, Thibault Bertrand2026-09-09
🔢 mathematics

Nonequilibrium steady state in Lindblad dynamics for infinite quantum spin systems

This paper establishes a CC^*-algebraic framework for nonequilibrium steady states in infinite quantum spin systems and provides a sufficient condition, involving a Liouvillian condition number and spectral gaps, to ensure that the steady state of the infinite system coincides with the thermodynamic limit of finite-system steady states, thereby addressing cases where time and thermodynamic limits fail to commute despite uniform spectral gaps.

Kenji Shimomura, Nagisa Hara, Seiichiro Kusuoka2026-09-09
⚛️ quantum physics

Topology of the Fermi surface and universality of the metal-metal and metal-insulator transitions: dd-dimensional Hatsugai-Kohmoto model as an example

This paper advances a theory of quantum phase transitions driven by Fermi surface topology changes by analyzing the exactly solvable dd-dimensional Hatsugai-Kohmoto model, where it confirms the Luttinger theorem, establishes gapless phases as Landau Fermi liquids, and demonstrates that a new universality class characterized by the order parameter (Fermi sea volume) and Euler characteristic robustly describes metal-insulator and gapless-to-gapless transitions.

Gennady Y. Chitov2026-09-09
🔬 condensed matter

A model of thermophoresis of colloidal proteins in water using non-Fickian diffusion currents

This paper demonstrates that Chapman's non-Fickian diffusion current is an indispensable factor for accurately modeling the thermophoretic motion of colloidal proteins in water, successfully capturing the temperature-dependent variations of the Soret coefficient and showing strong agreement with experimental data for lysozyme, BLGA, and Poly-L-Lysine.

Mayank Sharma, Angad Singh, A. Bhattacharyay2026-09-09
⚛️ quantum physics

Differentiable Maximum Likelihood Noise Estimation for Quantum Error Correction

This paper introduces a differentiable Maximum Likelihood Estimation (dMLE) framework that enables efficient, gradient-based optimization of circuit-level noise parameters for quantum error correction, achieving near-exact precision in simulations and significantly reducing logical error rates on Google's experimental hardware compared to state-of-the-art methods.

Hanyan Cao, Dongyang Feng, Cheng Ye, Feng Pan2026-09-09