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

Constraint effective action and critical correlation functions at fixed magnetization

This paper extends the functional renormalization group framework to compute momentum-dependent critical observables at fixed magnetization for the Ising universality class, demonstrating that the second-order derivative expansion accurately reproduces universal rate functions and correlation functions in three dimensions and qualitatively agrees with simulations in two dimensions, where lower-order approximations fail.

Félix Rose, Adam Rançon, Ivan Balog2026-05-08
🔬 condensed matter

Geometric decomposition of information flow: New insights into information thermodynamics

This paper proposes a geometric decomposition of information flow in autonomous bipartite Markov systems into housekeeping and excess components, distinguishing between cyclic currents that maintain correlations and conservative forces that alter mutual information, thereby generalizing key results in information thermodynamics.

Yoh Maekawa, Ryuna Nagayama, Kohei Yoshimura, Sosuke Ito2026-05-08
⚛️ quantum physics

Optimal quantum reservoir learning in proximity to universality

This article demonstrates that the learnability and scalability of quantum reservoir computing can be continuously optimized by adjusting the proportion of non-Clifford gates, thereby establishing a direct link between reservoir performance, entanglement statistics, and non-stabilizer resources to navigate the boundary between classically simulable and computationally complex quantum dynamics.

Moein N. Ivaki, Matias Karjula, Tapio Ala-Nissila2026-05-08
⚛️ high-energy theory

No boundary density matrix in elliptic de Sitter dS/Z2\mathbb{Z}_2

This article proposes that the Euclidean path integral on non-time-orientable elliptic de Sitter spacetime defines a no-boundary density matrix rather than a wave function, as demonstrated by the explicit calculation of entanglement entropies for free Dirac fermions, revealing a unique property in which the global Hilbert space is one-dimensional while the Hilbert spaces of individual observers remain nontrivial.

Raphaël Dulac, Zixia Wei2026-05-08
🔬 condensed matter

Charge Scrambling in Strong-to-Weak Spontaneous Symmetry Breaking

This paper establishes that strong-to-weak spontaneous symmetry breaking (SWSSB) in continuous symmetries implies extensive charge fluctuations under specific conditions, introduces a twist overlap correlator to unify the distinction between nonlinear SWSSB order, local charge indefiniteness, and coherent charge fluctuations, and demonstrates that these phenomena are not always equivalent.

Jong Yeon Lee2026-05-08
⚛️ quantum physics

Systematic construction of quantum many-body scars in frustrated Rydberg arrays

This paper introduces a graph-theoretic framework that systematically identifies two distinct mechanisms for constructing quantum many-body scars in frustrated Rydberg atom arrays on arbitrary lattices, demonstrating their existence on hexagonal lattices and establishing scarring as a generic feature for encoding protected information beyond bipartite systems.

Jean-Yves Desaules, Aron Kerschbaumer, Marko Ljubotina, Maksym Serbyn2026-05-08
⚛️ high-energy theory

Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model

This paper provides a comprehensive, multi-method analysis (perturbative, semiclassical large-NN, and integrability) of the O(2N)O(2N) Gross-Neveu model, demonstrating that at large chemical potential, the system enters a consistent crystalline phase characterized by the condensation of bound states and the emergence of two new dynamically generated scales that govern nonperturbative effects and the oscillatory chiral condensate.

Francesco Benini, Ohad Mamroud, Tomas Reis, Marco Serone2026-05-08
📊 statistics

Parameter estimation for kappa distributions using the EM algorithm in the superstatistical framework

This paper proposes an Expectation-Maximization (EM) algorithm for estimating kappa distribution parameters by treating inverse temperature as a latent gamma-distributed variable within a superstatistical framework, thereby overcoming the lack of exponential family structure to enable analytically tractable maximum likelihood inference.

Leonardo Sebastian Herrera, Sergio Davis2026-05-08