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

Multi-Criticality and RG Topology in the Charge-Kondo-Breakdown Scenario in the Cuprates

This paper utilizes renormalization group topology analysis to demonstrate that the charge-Kondo-breakdown scenario in cuprates lacks a stable interacting quantum critical fixed point, revealing instead that the observed extended scaling behavior arises from a marginally relevant instability driving a runaway flow characteristic of a weakly first-order transition.

Stefan Kirchner, Petr Jizba2026-07-23
🔢 mathematics

Physico-mathematical model of open quantum systems with varying particle number

This paper derives the effective Hamiltonian HμNH - \mu N for open quantum systems with varying particle number from first principles, establishing a rigorous physico-mathematical model that proves the Hamiltonian's uniqueness, validates the surface-to-volume ratio approximation, and demonstrates that the system's Hilbert space must be isomorphic to Fock space.

Benedikt M. Reible, Luigi Delle Site2026-07-22
⚛️ quantum physics

Nishimori Threshold Estimation for Bayesian Inference and Zq\mathbb{Z}_q Surface Code Decoding

This paper introduces an analytical Fourier–Walsh projection scheme based on minimal replica theory to estimate error thresholds for Zq\mathbb{Z}_q surface codes and other stabilizer codes, successfully mapping disorder-free critical points to Nishimori critical points with high accuracy and revealing a connection to the Gilbert–Varshamov bound.

Rohit Mukherjee, Simon Trebst2026-07-22
🔬 condensed matter

Quantum critical fan and emergent relativistic symmetry of two-dimensional Dirac semimetals

This paper employs a non-perturbative field-theory approach to map the finite-temperature phase diagram of the chiral Ising Gross-Neveu-Yukawa model, demonstrating emergent relativistic symmetry at the zero-temperature quantum critical point, a classical two-dimensional Ising transition at finite temperature, and characterizing the scaling properties of the resulting quantum critical fan.

Friederike Ihssen, Bilal Hawashin, Mireia Tolosa-Simeón, Michael M. Scherer2026-07-22