统计力学：2025–2026 年度综述

An annual survey of the cond-mat.stat-mech arXiv category, covering research published from September 2025 – August 2026. Built on a close-reading set of 132 papers and organised into 37 chapters, it maps the year by the field's research sub-directions.

Book framework (share of the year's output):

• Stochastic Thermodynamics and First-Passage Processes (21.7%) — Focuses on entropy production, optimal transport, and first-passage statistics in non-equilibrium systems and networks.
• Critical Phenomena in Ising and Lattice Models (12.2%) — Investigates exact solutions, critical temperatures, and scaling behaviors in Ising models and lattice systems using renormalization and numerical methods.
• Field Theory and Conformal Methods in Statistical Physics (9.8%) — Applies conformal field theory, mean-field theory, and gauge theory techniques to analyze criticality and phase transitions in lattice and continuum systems.
• Quantum Many-Body Chaos and Entanglement Dynamics (8.7%) — Explores quantum chaos, entanglement growth, and integrability in spin chains and quantum circuits, including Mpemba effects and symmetry breaking.
• Measurement-Induced and Dynamical Phase Transitions (8.0%) — Studies phase transitions driven by measurement, dynamical instabilities, and topological changes in quantum and classical systems.
• Active Matter and Chiral Brownian Dynamics (7.9%) — Analyzes the statistical mechanics of active particles, chiral motion, and Brownian dynamics in confined or interacting environments.
• Non-Equilibrium and Non-Markovian Statistical Mechanics (7.0%) — Addresses non-equilibrium thermodynamics, non-Markovian dynamics, and non-Hermitian effects in open and driven systems.
• Open Quantum Systems and Complex Dynamics (6.7%) — Examines dynamics, response, and thermalization in open quantum systems, monitored systems, and complex many-body environments.
• Quench Dynamics and Nonequilibrium Relaxation (6.7%) — Focuses on post-quench relaxation, operator growth, and critical dynamics in driven and nonequilibrium many-body systems.
• Long-Range Interactions and Spin Glass Transitions (5.9%) — Investigates the effects of long-range interactions, percolation, and spin glass transitions in disordered and frustrated systems.
• Random Walks and Random Matrix Theory (5.5%) — Utilizes random walks, random matrices, and network theory to study localization, percolation, and spectral statistics in disordered systems.

Each sub-direction is covered across three chapters — how it framed its questions, the strength of its key findings, and its open debates and frontiers — so the reader gets a traceable picture of what this part of the field actually produced over the year.