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.

🧬 biology

Informational blueprints reveal condition-dependent gene regulatory architectures

This paper introduces an "information blueprint" algorithm inspired by renormalization-group techniques to identify condition-dependent transcription factor binding sites in non-coding genomic regions by compressing global sequence information into collective coordinates, a method validated on *E. coli* data to reveal novel regulatory elements across various growth conditions.

Doruk Efe Gökmen, Rosalind Wenshan Pan, Tom Röschinger, Stephen Quake, Hernan Garcia, Rob Phillips, Vincenzo Vitelli2026-05-20
🔬 condensed matter

Banded non-Hermitian random matrices, neural networks, and eigenvalue degeneracies

This paper investigates two-banded, non-Hermitian random matrices inspired by sparse neural networks, revealing how the competition between random sign disorder and directional bias drives distinct delocalization transitions and creates complex spectral structures, including loops of extended states and specific eigenvalue degeneracies, in both SSH chain and ladder models.

Richard Huang, David R. Nelson2026-05-20
🔬 condensed matter

Activation Functions, Statistics and Learning of Higher-Order Interactions in Restricted Boltzmann Machines

This paper analytically characterizes how different hidden unit activation functions in Restricted Boltzmann Machines influence the statistics of induced interactions and the ability to learn complex, higher-order data structures, demonstrating that rapidly increasing nonlinearities like the Exponential function can significantly facilitate the representation and learning of such patterns.

Giovanni di Sarra, Yasser Roudi2026-05-20
⚛️ high-energy theory

Planckian dissipation from classical hydrodynamics

This paper demonstrates that the requirement for a quantum system to remain describable by classical hydrodynamics at low temperatures necessitates a finite classical region within the light cone, which in turn forces the effective relaxation rate to be at least Planckian, thereby deriving Planckian scaling of transport coefficients as a consequence of hydrodynamic self-consistency rather than microscopic quantum constraints.

Laura Foini, Jorge Kurchan, Silvia Pappalardi2026-05-20
🔬 condensed matter

Quantum effective action for dissipative semiclassical dynamics

This paper utilizes the Schwinger-Keldysh formalism to derive quantum corrections to semiclassical Langevin dynamics for dissipative systems, demonstrating that these corrections are governed by zero-point energy in the low-temperature, weak-damping regime and applying the results to Josephson and bosonic junctions where they reach significant percent-level magnitudes.

Cesare Vianello, Andrea Bardin, Luca Salasnich2026-05-20