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

Fundamental Work Scaling and Non-Extensivity in Critical Quantum Stirling Engines

This paper introduces a general analytical framework for quasi-static quantum Stirling engines operating across ground-state level crossings, demonstrating that they achieve Carnot efficiency without a classical regenerator while exhibiting non-extensive work scaling governed by number-theoretic degeneracies like Fibonacci and Lucas numbers.

Bastian Castorene, Martin HvE Groves, Francisco J. Peña, Eugenio E. Vogel, Patricio Vargas2026-04-03
⚛️ high-energy theory

Asymptotic freedom, lost: Complex conformal field theory in the two-dimensional O(N>2)O(N>2) nonlinear sigma model and its realization in Heisenberg spin chains

This paper demonstrates that the two-dimensional O(N>2)O(N>2) nonlinear sigma model possesses a generic complex conformal field theory fixed point in the complex coupling plane, which is numerically confirmed in non-Hermitian Heisenberg spin chains and can be realized through engineered dissipation to prepare long-range entangled states.

Christopher Yang, Thomas Scaffidi2026-04-03
⚛️ quantum physics

Bootstrapping Symmetries in Quantum Many-Body Systems from the Cross Spectral Form Factor

This paper introduces a bootstrap framework that utilizes the cross spectral form factor and spectral correlations to systematically reconstruct the full representation theory and identify hidden finite group symmetries in quantum many-body systems, including their character tables and fusion rules, without prior knowledge of the symmetry group.

Chen Bai, Zihan Zhou, Bastien Lapierre, Shinsei Ryu2026-04-03
🔬 condensed matter

Power laws, anisotropy and center-of-mass conservation in mass transport processes

This paper presents exact results demonstrating that while anisotropic mass transport processes typically exhibit long-range power-law density correlations decaying as 1/∣x∣d1/|{\bf x}|^d, the additional conservation of the center-of-mass in all directions qualitatively alters this behavior to a faster 1/∣x∣d+21/|{\bf x}|^{d+2} decay, resulting in extreme hyperuniformity due to higher-order multipolar charge distributions.

Aniket Samanta, Animesh Hazra, Punyabrata Pradhan2026-04-03