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.

Graphical model for factorization and completion of relatively high rank tensors by sparse sampling

This paper proposes a graphical model and develops both message-passing algorithms and a replica theory based on cumulant expansion to analyze and perform tensor factorization and completion of relatively high-rank tensors under sparse, random graph-based sampling in the high-dimensional dense limit.

Angelo Giorgio Cavaliere, Riki Nagasawa, Shuta Yokoi, Tomoyuki Obuchi, Hajime Yoshino2026-04-15📊 stat

Koopman Mode Decomposition of Thermodynamic Dissipation in Nonlinear Langevin Dynamics

This paper employs Koopman mode decomposition to establish a general framework that linearizes nonlinear Langevin dynamics, thereby decomposing thermodynamic dissipation into interpretable, frequency-dependent contributions from individual oscillatory modes and demonstrating how these modes govern energy loss in phenomena like coherent resonance within the noisy FitzHugh-Nagumo model.

Daiki Sekizawa, Sosuke Ito, Masafumi Oizumi2026-04-15🔬 cond-mat

Enhanced performance of sudden-quench quantum Otto cycles via multi-parameter control

This paper demonstrates that sudden-quench quantum Otto cycles utilizing simultaneous multi-parameter control significantly outperform single-parameter cycles in both net work and efficiency for engines, as well as in coefficient of performance for refrigerators, across experimentally realistic many-body systems like one-dimensional Bose gases and transverse-field Ising models.

Raymon S. Watson, Karen V. Kheruntsyan2026-04-15🔬 cond-mat

Extracting conserved operators from a projected entangled pair state

This paper presents a method to extract geometrically local conserved operators, including parent Hamiltonians, from infinite projected entangled pair states (iPEPS) by analyzing the quantum geometry of parameter-deformed manifolds via static structure factors, successfully identifying both frustration-free and non-frustration-free Hamiltonians with improved locality for states like the short-range RVB and deformed toric code.

Wen-Tao Xu, Miguel Frías Pérez, Mingru Yang2026-04-15⚛️ quant-ph

Colloidal Suspensions can have Non-Zero Angles of Repose below the Minimal Value for Athermal Frictionless Particles

Experiments on dense colloidal silica suspensions in rotating microfluidic drums reveal that while thermal agitation causes the smallest particles to exhibit zero angle of repose, larger particles arrest at finite angles that remain below the minimal value for athermal frictionless granular materials, a phenomenon explained by a rheological model linking the arrest to a crossover between glass and jamming transitions driven by the competition between gravitational and thermal pressures.

Jesús Fernández, Loïc Vanel, Antoine Bérut2026-04-15🔬 cond-mat

Emergent Hawking Radiation and Quantum Sensing in a Quenched Chiral Spin Chain

This paper investigates the emergence and detection of Hawking radiation in a quenched 1D chiral spin chain by mapping its dynamics to a curved spacetime Dirac fermion, revealing that while the radiation spectrum exhibits greybody-like deviations, a weakly coupled qubit detector can faithfully measure the Hawking temperature, whereas strong coupling obscures the thermal signature by thermalizing with the global environment.

Nitesh Jaiswal, S. Shankaranarayanan2026-04-15⚛️ hep-th