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

Non-equilibrium coupling to a diffusing density breaks Ising universality

This paper demonstrates that coupling an order parameter nonreciprocally to a conserved diffusing density breaks the robustness of Ising universality below four dimensions, driving the system to a novel non-equilibrium fixed point characterized by long-range multiplicative noise, split scaling exponents, and strong finite-size corrections.

Mattia Scandolo, Johannes Pausch, Michael E. Cates, Luca Di Carlo2026-07-07
🔬 condensed matter

Non-equilibrium phase transition in the Brownian Ising Model: field theory, renormalization group, and exact results

This paper establishes that the Brownian Ising Model, where a Z2\mathbb{Z}_2 order parameter couples to a passive conserved density, undergoes a non-equilibrium phase transition to a unique universality class distinct from the equilibrium Ising model, characterized by fluctuation-dissipation theorem violation, negative anomalous dimensions, and exact scaling relations derived from emergent symmetries.

Mattia Scandolo, Luca Di Carlo2026-07-07
🧬 biology

Variance of the SISSIS Epidemic on Networks: A Diffusion Approximation

This paper develops a tractable variance approximation for Markovian SISSIS epidemics on configuration-model networks by combining Gleeson's approximate master equation with a van Kampen system-size expansion, yielding a closed-form diffusion matrix that accurately predicts fluctuations around the mean-field trajectory across various network topologies.

Lucija Nora Farkaš, Sebastian Morel Balbi, Hrvoje Štefančić, István Zoltán Kiss, Vinko Zlatić2026-07-07
⚛️ quantum physics

Thermalization hierarchy from irreducible degrees of freedom

This paper establishes a continuous thermalization hierarchy in quantum many-body systems by demonstrating that the dimension of irreducible representations (DλD_\lambda) of bond algebras quantitatively controls eigenstate entanglement entropy, thereby interpolating between nonthermal scars and ergodic states through the concept of irreducible degrees of freedom.

Pedro Fittipaldi de Castro, Wladimir A. Benalcazar2026-07-07
🔬 condensed matter

Intermittency Signatures in the Deformation of a Passive Droplet in Active Turbulence

Using fully resolved nematohydrodynamic simulations, this study demonstrates that a passive nematic droplet in two-dimensional extensile active turbulence exhibits temporal intermittency and scale-free burst statistics in its deformation, revealing a hierarchy where interfacial restoring forces filter active stress fluctuations to produce distinct, bursty dynamics compared to the more intermittent translational and stress fluctuations.

Sudeep Halder, Abhishek Chaudhuri2026-07-07
🔬 applied physics

Orthogonality Edges in Strong-Coupling Quantum Work Statistics

This paper demonstrates that strong coupling to an infrared-singular reservoir transforms the work distribution of a sudden bias inversion in the spin-boson model from a quasiparticle threshold into a many-body edge via boundary orthogonality, revealing a finite-energy crossover where the cumulative-continuum exponent exceeds the elastic-overlap exponent and significantly impacts the sampling cost of Jarzynski-type averages.

Atta ur Rahman, Muhammad Noman, S. M. Zangi, Saeed Haddadi2026-07-07
🔬 condensed matter

Uniform distributions in nonuniform systems: Wall potentials generating constant density profiles in classical density functional theory

This paper solves the inverse problem in classical density functional theory by deriving explicit analytical and numerical expressions for wall potentials that generate perfectly flat equilibrium density profiles in planar, spherical, and cylindrical geometries for both hard-sphere and Lennard-Jones fluids within Rosenfeld's fundamental measure theory.

Jiří Janek, Alexandr Malijevský2026-07-07