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

Nonequilibrium steady states induced by stochastic mid-circuit measurements and resets on a quantum computer

This paper presents a noisy discrete-time theory and its experimental validation on a superconducting quantum processor with up to seven qubits, demonstrating that stochastic mid-circuit measurements and resets can successfully drive interacting quantum systems into nonequilibrium steady states that quantitatively match theoretical predictions and exhibit signatures of equilibrium quantum phase transitions.

Jakob Murauer, Sabine Tornow, Gabriele Perfetto2026-06-19
🌀 nonlinear sciences

Spectra as a classical phenomenon, and the Einstein classical program

This paper challenges the notion that spectra are purely unintelligible quantum phenomena by demonstrating that classical calculations of ionic crystal infrared spectra can reproduce experimental data across a wide temperature range—especially when incorporating Nernst's concept of zero-point energy—thereby advancing the "Einstein Classical Program" of deriving quantum physics from a realistic classical framework.

Andrea Carati, Luigi Galgani, Fabrizio Gangemi2026-06-19
⚛️ high-energy theory

Quantum models with the Yang-Lee phase transition

This paper presents four distinct 1+11+1D quantum models that realize the Yang-Lee phase transition under PTPT-symmetric deformation, demonstrating through analytical and numerical methods that their critical points are universally described by a massless bosonic field with an iϕ3i\phi^3 interaction and exhibit scaling dimensions consistent with exact two-dimensional results.

Erick Arguello Cruz, Grigory Tarnopolsky2026-06-19
🔬 materials science

Polymer-polymer interdiffusion: effects of entanglements and a polymeric source

This paper investigates polymer-polymer interdiffusion in both entangled and unentangled regimes with and without a polymeric source using a two-fluid formalism to derive scaling relations and analytical solutions that are validated by numerical simulations, revealing that while a source term disrupts self-similarity, the diffusing front retains similar spatial characteristics.

Avraham Moriel, Howard A. Stone2026-06-19
🔬 condensed matter

Approximation theory for Green's functions via the Lanczos algorithm

This paper develops a theoretical framework for the error convergence of the stitching approximation in Green's function calculations via the Lanczos algorithm, demonstrating that the convergence rate depends on the decay of subleading Lanczos coefficients and the smoothness of the spectral function, while also deriving a formula linking the spectral function at the origin to continued fraction coefficients to estimate the diffusion constant in the mixed-field Ising model.

Gabriele Pinna, Oliver Lunt, Curt von Keyserlingk2026-06-18