2358 papers
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.
This paper employs finite-size renormalization group analyses to demonstrate that weak energy and spin measurements on 1D tricritical and critical Ising ground states drive the system to distinct universal fixed points—characterized by area-law and logarithmic entanglement, respectively—governed by intrinsic measurement-induced randomness.
This paper investigates the six-vertex model on the Sierpinski gasket, revealing a rich phase diagram that includes both entropic charge confinement in the standard ice limit and a unique fractal deconfinement regime where the connecting string itself forms a statistical fractal with dimension .
This paper demonstrates that slowly varying inhomogeneous deformations of two-dimensional critical classical lattice models, such as the Ising and six-vertex models, are effectively described by conformal field theory in curved space, enabling the determination of underlying metrics and the calculation of phase boundaries like the arctic curve.
This paper introduces a graph-theoretic framework to analyze monitored random Clifford circuits, demonstrating that their output states converge to Erdős–Rényi random graphs in the large- limit, which enables the analytical calculation of GHZ entanglement, reveals a dense subgraph structure explaining the volume-law phase's error correction, and accurately predicts the measurement-induced phase transition critical point.
This paper introduces a fractional Fibonacci number system to derive a localization criterion for the many-body non-interacting Aubry-André model, where particle density is expressed in this system for finite sizes and in base- for the thermodynamic limit.
This paper demonstrates that initializing the Maxwell--Cattaneo--Vernotte heat conduction model with an exact space-dependent time derivative, rather than zero or uniform values, is essential for eliminating unphysical oscillations and ensuring thermodynamically consistent transient responses in high-frequency thermal engineering applications.
This paper presents a novel, anisotropically evolved cellular automaton with environment-dependent update rules that, through fine-tuned coupling, generates a trigonometric plot of Ising model susceptibility featuring five phase transitions and four magnetic phases without relying on external mathematical libraries.
This paper employs a mean-field glassy analogy with an effective temperature to characterize rare system-wide resonances in the random-field XXZ chain, identifying three distinct regimes and demonstrating how rare resonant pathways destabilize the many-body localization phase even at infinitesimal interaction strengths.
This paper investigates the gradient property of renormalization group flows in scalar-fermion quantum field theories up to four-loop order, demonstrating that the beta shift is essential for satisfying over a thousand scheme-independent gradient conditions and that conformal field theories with non-zero beta shifts dominate the theory space as the number of fields increases.
This paper establishes non-perturbative constraints on the stability and renormalization group flows of nonequilibrium matter by utilizing quantum information inequalities, specifically conditional mutual information, to derive monotonicity rules and stability bounds for symmetry-breaking phases.