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.

Symmetry and Topology of Monitored Quantum Dynamics

This paper establishes a tenfold classification of symmetry and topology for monitored free fermions by analyzing Kraus operators and their effective non-Hermitian generators, thereby elucidating the role of topology in measurement-induced phase transitions and demonstrating a bulk-boundary correspondence where nontrivial spacetime topology leads to protected dynamical slowdowns and gapless boundary states.

Zhenyu Xiao, Kohei Kawabata2026-06-12🔬 cond-mat

Chiral Long-Range Order in three Euclidean Lattice Gross-Neveu Models

This paper rigorously proves the existence of long-range order in the chirally charged fermion-mass bilinear for a class of two-dimensional Euclidean lattice Gross-Neveu models with even flavor numbers by utilizing reflection positivity, chessboard estimates, and Peierls-type arguments to establish a non-perturbative connection between the lattice theory and large-NN mean-field predictions across various discretizations.

Simone Fabbri, Leonardo Goller2026-06-12🔢 math-ph

Population dynamics of surface-mediated autocatalytic processes

This paper investigates the stochastic population dynamics of surface-mediated autocatalytic processes where particles diffuse and undergo competing replication or death events, providing a systematic theoretical analysis of the population's statistical properties across vanishing, steady-state, and exponential growth regimes supported by numerical solutions and Monte Carlo simulations.

Denis S. Grebenkov, Yilin Ye2026-06-12🔢 math-ph

Thermoelectric information engine driven by an autonomous Maxwell demon across quantum-to-classical transitions

This paper investigates a three-terminal thermoelectric engine driven by an autonomous Maxwell demon to identify two distinct quantum-to-classical transitions—one controlled by interdot tunneling and another by phonon-induced decoherence—revealing how quantum coherence can enhance information flow and engine performance in specific regimes.

Maximiliano Bernal Santibañez, Felipe Barra, Jose Mondaca2026-06-12🔬 cond-mat.mes-hall