2392 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 derives functional renormalization group flow equations for antisymmetric rank-2 tensor field models at finite temperature, specifically analyzing symmetry breaking patterns such as and to gain insights into their scale-dependent behavior and phase transitions.
This paper demonstrates that Parity-Time (PT) symmetry enriches non-Hermitian critical points to form a topologically distinct class of non-unitary criticality characterized by robust edge modes and a quantized imaginary subleading term in entanglement entropy scaling.
This paper proposes the metric response of quantum relative entropy as a universal indicator of quantum criticality, demonstrating that its susceptibility diverges at quantum critical points in the thermodynamic limit with distinct scaling behaviors for integrable and non-integrable spin chains, while also exhibiting finite-size divergence in classical limits due to the rank of reduced density matrices.
This study employs statistical theory and Monte Carlo simulations to demonstrate that inter-defect interactions and non-uniform impurity distributions significantly govern defect thermodynamics, oxidation behavior, and hole conductivity in acceptor-doped ABO3 perovskites, with oxygen vacancy-impurity interactions proving more influential than inter-vacancy correlations.
This paper reveals the existence of gapless symmetry-protected topological phases (gSPTs) in one-dimensional non-Hermitian Floquet systems, establishing a unified topological characterization via winding numbers on the generalized Brillouin zone that guarantees robust edge modes even at critical points.
This paper extends the classification of binary mixtures into thermodynamically unstable regions by demonstrating how the interplay between competing energy scales, thermodynamic instabilities, and kinetic arrest generates diverse amorphous states, which can be unified under a non-equilibrium framework using a structural order parameter .
This paper proposes that criticality is an intrinsic structural property of finite systems, demonstrating through the mean-field model that microcanonical inflection-point analysis (MIPA) can identify a unique finite-size critical trajectory that converges to the thermodynamic limit, thereby reframing finite-size criticality as a measurable and predictive phenomenon rather than merely a rounded remnant of the infinite-size limit.
This paper generalizes the Matrix-Product Belief Propagation method to continuous-state-space variables by employing a tunable Hilbert function basis expansion, enabling efficient and accurate semi-analytical computation of observables in large sparse networks with mixed continuous/discrete degrees of freedom, as demonstrated on Kinetic Ising dynamics.
This paper demonstrates that deep neural networks with continuous symmetry equivariance support Goldstone-like modes that enable coherent, stable information propagation across depth and time, thereby improving trainability and long-term memory without relying on standard architectural stabilizers like residual connections or normalization.
This paper demonstrates that driven systems with absorbing states can exhibit history-dependent critical scaling and nonunique quasi-stationary behavior when their configuration space fractures into disconnected macroscopic classes, thereby challenging the conventional assumption that critical exponents are independent of initial conditions.