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.

⚛️ phenomenology

Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries

This paper presents a unified exact solution to the relativistic Boltzmann equation for a boost-invariant conformal gas on dS3×RdS_3 \times \mathbb{R} across all constant-curvature slicings, which reproduces known Bjorken and Gubser flows while introducing a novel analytic "Grozdanov flow" for hyperbolic foliations that naturally encompasses both hydrodynamic and free-streaming regimes.

Mauricio Martinez, Christopher Plumberg2026-03-11
🧬 biology

Understanding the temperature response of biological systems: Part I -- Phenomenological descriptions and microscopic models

This review article surveys phenomenological and microscopic models used to describe the complex, non-Arrhenius temperature responses of biological systems across various scales, defining key operational metrics like optimal temperatures and thermal limits while setting the stage for a subsequent discussion on how system-level curves emerge from interacting reactions.

Simen Jacobs, Julian Voits, Nikita Frolov, Ulrich S. Schwarz, Lendert Gelens2026-03-11
🔬 physics

Efficient Monte-Carlo sampling of metastable systems using non-local collective variable updates

This paper presents and validates a generalized algorithm for efficient Monte-Carlo sampling of metastable systems using non-local updates in collective-variable space under underdamped Langevin dynamics, demonstrating substantial performance improvements over previous overdamped approaches and extending the applicability of machine-learning-based samplers to more realistic molecular systems.

Christoph Schönle, Davide Carbone, Marylou Gabrié, Tony Lelièvre, Gabriel Stoltz2026-03-11
🌀 nonlinear sciences

Understanding the temperature response of biological systems: Part II -- Network-level mechanisms and emergent dynamics

This paper reviews deterministic and stochastic network-level models to explain how Arrhenius-like temperature dependencies in individual biochemical reactions transform into complex emergent system behaviors, such as non-Arrhenius scaling and thermal limits, thereby bridging empirical temperature response curves with the molecular organization of biological systems.

Simen Jacobs, Julian B. Voits, Nikita Frolov, Ulrich S. Schwarz, Lendert Gelens2026-03-11
🔢 mathematics

Computing Nonequilibrium Transport from Short-Time Transients: From Lorentz Gas to Heat Conduction in One Dimensional Chains

This paper demonstrates that the Transient Time Correlation Function (TTCF) method is a computationally efficient and precise alternative to traditional time-averaging approaches for calculating nonequilibrium transport coefficients in both linear and nonlinear regimes, as validated through case studies of the Lorentz gas and anharmonic oscillator chains.

Davide Carbone (Laboratoire de Physique de l'Ecole Normale Superieure, ENS Universite PSL, CNRS, Sorbonne Universite, Un (…)2026-03-11