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.

Criticality in optical properties of the Drude and Drude-Sommerfeld metals around the plasma frequencies for high carrier concentrations

This paper analytically derives the attenuation constant for Drude and Drude-Sommerfeld metals with high carrier concentrations, revealing critical behavior in optical properties like group velocity and dielectric constant near the plasma frequency and providing associated critical exponents and quantum corrections.

Bikram Keshari Behera, Rhitabrata Bhattacharyya, Shyamal Biswas2026-05-12🔬 cond-mat

On Distinguishing Capability Elicitation from Capability Creation in Post-Training: A Free-Energy Perspective

This paper proposes a free-energy framework to distinguish between capability elicitation, which reweights existing behaviors within a model's accessible support, and capability creation, which expands that support through mechanisms like search or tool use, arguing that this distinction is more critical than the traditional SFT versus RL dichotomy in post-training.

Yuhao Li, Shengchao Liu2026-05-12🤖 cs.AI

A Closer Look on the Influence of Constraints Upon the Optimization of the Nonadditive Entropic Functional SqS_{q}

This paper establishes the mathematical conditions for the existence and uniqueness of solutions when optimizing the nonadditive entropy SqS_q under a generalized energy constraint, proving that only specific constraint forms yield qq-exponential distributions while demonstrating that the linear constraint case (q=1q'=1) preserves thermodynamic laws and effectively models complex systems ranging from many-body Hamiltonians to edge-of-chaos dynamics.

Leandro Lyra Braga Dognini, Constantino Tsallis2026-05-12🔢 math-ph

An exact spacetime polymer gas for finite-temperature ZN\mathbb Z_N homological quantum code

This paper establishes an exact mapping between finite-temperature ZN\mathbb Z_N homological quantum codes and a (d+1)(d+1)-dimensional spacetime polymer gas with topological charges, utilizing this reformulation to derive rigorous low-temperature stability criteria, exact higher-form dualities, and connections to the plaquette random-cluster model.

Nafiz Ishtiaque, Shanto Chakroborty2026-05-12🔢 math-ph

Benchmarking a restricted Boltzmann machine on the Z2\mathbb{Z}_2 Bose-Hubbard chain in the adiabatic hard-core regime

This paper demonstrates that a shallow restricted Boltzmann machine, when used as a variational ansatz in variational Monte Carlo simulations, successfully reproduces the main adiabatic phase structure and captures symmetry-broken insulating configurations of the one-dimensional Z2\mathbb{Z}_2 Bose-Hubbard chain in the hard-core limit at half filling.

Gustavo Alejandro Avalos Valentín, Roman Josué Armenta Rico, Isaac Pérez Castillo2026-05-12🔬 cond-mat