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 classifies the computational complexity of 2-local Hamiltonian problems with positive symmetric interactions into three distinct phases—QMA-complete, StoqMA-complete, and a new EPR* class—by utilizing perturbative gadgets and renormalization-group-like flows to demonstrate that EPR* likely represents the transition point between easy and hard local Hamiltonians.
This paper investigates normal mode analysis in relativistic massive transport by demonstrating how particle mass induces coupling between sound and heat channels, alters the branch cut structure responsible for Landau damping, and leads to non-monotonic dependencies in the critical wavenumbers for collective modes.
This paper proposes two bio-inspired learning algorithms for one-dimensional time series based on the statistical-mechanical properties of the Loewner equation—specifically Gaussian process regression via driving force normality and a fluctuation-dissipation relation for sensitivity analysis—which are numerically validated on neuronal dynamics and discussed in the context of biological self-organization.
This paper demonstrates that in fractonic systems where the -th multipole moment of the order parameter is conserved, domain coarsening after a quench follows an anomalously slow growth law of , thereby establishing a new family of non-equilibrium universality classes characterized by a cascade of dynamical critical exponents.
This study demonstrates that introducing gravity along the direction of the thermodynamic force significantly reduces the temperature threshold for negative differential thermal resistance (NDTR) in fluids, extends the NDTR mechanism to strongly interacting and mixed fluid systems, and provides a theoretical basis for designing gravity-harnessed fluidic thermal devices.
Through numerical hydrodynamic simulations, this study reveals that an active mixture of polar and apolar self-propelled components exhibits a unique regime of spatiotemporal chaos characterized by chaotic band-like structures and proliferating topological defects, driven by a non-monotonic response to the polar component's density and activity.
This study employs numerical simulations based on modified Fick's law and dynamic bond percolation to model solvent diffusion during the solvothermal exfoliation of transition metal dichalcogenides, revealing how diffusivity and reaction time influence nanoparticle size evolution, uniformity, and saturation through entropy analysis.
This paper provides a rigorous proof that generalized Ising models with interaction parameter exhibit "entropic order" at arbitrarily high temperatures and solve NP-hard graph packing problems, leading to the emergence of a novel "entropic glass" phase on arbitrary graphs.
This paper introduces a minimal embedding-only model to analytically demonstrate how data frustration drives representation collapse through a slow time scale, while showing that stop-gradient mechanisms can stabilize non-collapsed solutions and preserve class separation.
This paper proposes a framework for predicting the entanglement spectra of one-dimensional gapless symmetry-protected topological states by demonstrating that their reduced density matrices can be derived from trivial critical states via local quantum channels that modify conformal boundary conditions.