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

Ising-Machine-Assisted Large Neighborhood Search with Flexibly Tunable Subproblem Size

This paper proposes LNS-VT, a novel Ising-machine-assisted Large Neighborhood Search method that introduces a tunable parameter for the number of consecutive re-optimized steps per vehicle to finely control subproblem size while preserving feasibility, thereby significantly improving solution quality for the Vehicle Routing Problem and demonstrating the importance of subproblem-size control for other combinatorial optimization tasks.

Koshiro Fujimoto, Masashi Yamashita, Shu Tanaka2026-07-07
🔬 condensed matter

Nucleation and time-reversal symmetry breaking in nonconserved scalar field theories

This paper develops a comprehensive nonequilibrium nucleation theory (NNT) for systems with non-conserved order parameters by deriving the dynamics of droplet formation through stochastic projection and action minimization, revealing that the nucleation barrier differs from time-reversed relaxation paths and validating this framework against numerical simulations in active matter and population dynamics models.

Noah Ziethen, Michalis Chatzittofi, Michael E. Cates, Cesare Nardini2026-07-07
🔬 condensed matter

Free energy dissipation and a decomposition of general jump diffusions on Rn\mathbb{R}^n without detailed balance

This paper establishes a thermodynamic framework for non-equilibrium jump diffusions on Rn\mathbb{R}^n by decomposing their generator into symmetric and anti-symmetric parts relative to the invariant measure, thereby deriving a complete free energy dissipation formula that separates entropy production from housekeeping heat and clarifies the structure of non-equilibrium stationary states.

Shuyuan Fan, Qi Zhang2026-07-03
⚛️ quantum physics

Large-nn O(n)O(n) with long-range interactions: integrability and resonance dynamics

This paper utilizes the integrability of the large-nn limit to derive exact resonance conditions and a reduced Hamiltonian for the long-range quantum O(n)O(n) model, revealing how parametric resonances on mesoscopic timescales drive nonlinear dynamics, enhance entanglement growth, and generate spatially modulated correlations that deviate from the mean-field limit.

Guido Giachetti, Nicolo Defenu2026-07-03
🔬 condensed matter

First passage time for an underdamped harmonic oscillator and application to the power of an information engine

This paper theoretically derives and experimentally validates the first passage time distribution for an underdamped harmonic oscillator using a combination of Kramers operator eigenvalue analysis and Hamiltonian approximation, demonstrating its utility for precisely estimating the power of information engines.

Aubin Archambault, Caroline Crauste-Thibierge, Alberto Imparato, Sergio Ciliberto, Ludovic Bellon2026-07-03
🔬 condensed matter

First passage time distribution in underdamped harmonic oscillators

This paper derives the first passage time distribution for an underdamped harmonic oscillator crossing a threshold by employing energy diffusion, eigenvalue analysis, and Hamiltonian approximations across different quality factors, all of which show excellent agreement with numerical simulations and reveal a specific noise-driven shape in the mean trajectories.

Aubin Archambault, Caroline Crauste-Thibierge, Alberto Imparato, Sergio Ciliberto, Ludovic Bellon2026-07-03