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.

Toward Charge-Dependent Tests of the Equivalence Principle: A Phenomenological Parameter and an Unexplored Frontier

This paper introduces the phenomenological parameter κ\kappa to quantify charge-dependent violations of the Equivalence Principle, establishes a new experimental bound of κ<2.1×104 \si\kilo\gram\per\coulomb|\kappa| < 2.1 \times 10^{-4}~\si{\kilo\gram\per\coulomb}, and argues that measuring this parameter offers a unique, unexplored pathway to detect new physics beyond minimal gravitational effective field theories.

Renato Vieira dos Santos2026-05-13⚛️ hep-ph

Exact Current Fluctuations in a Tight-Binding Chain with Dephasing Noise

This paper presents the first exact solution for the full counting statistics of current in a diffusive quantum many-body system by deriving a Fredholm determinant representation for a tight-binding chain with dephasing noise, thereby demonstrating that both the cumulant generating function and large-deviation function exhibit diffusive scaling consistent with experimental measurements.

Taiki Ishiyama, Kazuya Fujimoto, Tomohiro Sasamoto2026-05-12🔢 math-ph

Diagnosing phase transitions through time-scale entanglement

This paper introduces time-scale entanglement, a novel form of entanglement between imaginary time scales accessible via quantics tensor train diagnostics (QTTD), as a universal and unbiased indicator that is generically enhanced near phase transitions and becomes scale-invariant at quantum critical points.

Stefan Rohshap, Hirone Ishida, Frederic Bippus, Leonard M. Verhoff, Anna Kauch, Karsten Held, Hiroshi Shinaoka, Markus Wallerberger2026-05-12🔬 cond-mat

Two-dimensional fractional Brownian motion: Analysis in time and frequency domains

This paper introduces a novel construction of two-dimensional fractional Brownian motion with dependent components using a matrix-valued Hurst operator to accommodate full parameter ranges and anisotropic scaling, while providing a comprehensive theoretical analysis of its covariance structures and power spectral density in both time and frequency domains.

Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska, Krzysztof Burnecki, Diego Krapf2026-05-12🔬 cond-mat

Instability of Laughlin FQH liquids into gapless power-law correlated states with continuous exponents in ideal Chern bands: rigorous results from plasma mapping

By mapping Laughlin wave-functions in ideal Chern bands to classical Coulomb gases, this study rigorously demonstrates that increasing magnetic field inhomogeneity drives a phase transition from a gapped topological state to a gapless, power-law correlated dielectric state with continuously tunable correlation exponents, even at fixed filling fractions.

Saranyo Moitra, Inti Sodemann Villadiego2026-05-12🔬 cond-mat

Quasi-adiabatic thermal ensemble preparation in the thermodynamic limit

This paper investigates the efficiency and limitations of quasi-adiabatic thermal ensemble preparation in the thermodynamic limit, demonstrating that while nonintegrable systems can be accurately prepared using a single parameter despite exponentially scaling time, integrable systems generally require an extensive number of parameters tied to conserved quantities and are further hindered by quantum phase transitions.

Tatsuhiko Shirai2026-05-12⚛️ quant-ph

Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions

Using replica Keldysh field theory and numerical simulations, this paper demonstrates that continuously monitored one-dimensional free fermions do not exhibit genuine measurement- or unraveling-induced entanglement phase transitions, as their steady-state entanglement ultimately obeys an area law beyond exponentially large length scales despite displaying critical-like behavior at intermediate scales.

Clemens Niederegger, Tatiana Vovk, Elias Starchl, Lukas M. Sieberer2026-05-12⚛️ quant-ph