1558 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 investigates how Hamiltonian deformations affect Krylov complexity by demonstrating that certain deformations preserve the Krylov subspace while reorganizing its basis and yielding generalized Toda equations, with applications to coherent Gibbs states, random matrices, and supersymmetric systems.
This paper investigates the long-time approach to equilibrium for a harmonic oscillator coupled to a large chain of oscillators, demonstrating that while the system exhibits thermalization-like behavior at leading order in the coupling strength, higher-order corrections reveal persistent oscillations and power-law decays that prevent the bath from being accurately modeled as a simple stochastic thermostat.
This paper derives a general self-consistent random phase approximation (sc-RPA) framework from the projective truncation approximation (PTA) that applies to arbitrary temperatures, rationalizes Rowe's zero-temperature formalism, and successfully captures key physical features of the one-dimensional spinless fermion model in disordered regimes.
This paper introduces an efficient classical framework that combines the fast Walsh-Hadamard transform with exact Pauli operator partitioning and Monte Carlo estimation to compute stabilizer Rényi entropies and nullity, reducing the sampling cost per Pauli string from exponential to linear complexity and enabling the study of quantum magic in highly entangled states.
This paper refutes a 2026 conjecture claiming that quantum quenches within the same phase maximize overlap with the post-quench ground state by presenting a specific gapped free-fermion counterexample where this condition fails despite symmetry preservation and a continuous thermodynamic-limit spectrum.
This study demonstrates that increasing the gap width in Taylor-Couette flow enhances flow stability and delays turbulent transition by promoting a free vortex-like velocity profile and reducing the maximum energy gradient function, thereby revealing that the radius ratio must be considered alongside the gap-based Reynolds number to accurately characterize the flow behavior.
This paper establishes a geometric formulation of thermodynamic response in the classical Ising model, demonstrating that a curvature field defined over the inverse temperature and magnetic field manifold exhibits a pronounced ridge structure that geometrically identifies the Widom line as a locus of maximal thermodynamic response.
This paper resolves the conceptual issue of the non-observable nature of superstatistical temperature by demonstrating a mapping to the fundamental temperature that ensures coinciding expectation values, thereby enabling the direct computation of inverse temperature distributions for systems like the -canonical ensemble without requiring Laplace inversion.
This paper rigorously establishes that Nakajima-Zwanzig memory kernels for open quantum systems with factorized initial states and continuous bath spectra belong to the Hardy space, thereby proving the validity of Kramers-Kronig dispersion relations and providing new theorems linking analyticity to physical constraints like complete positivity and stability, while demonstrating that correlated initial states can break this analyticity and lead to acausal dynamics.
This paper derives a closed-form stability criterion for charged colloidal crystals that predicts direction-dependent elastic softening and identifies the critical electrostatic-elastic coupling strength at which specific crystallographic axes lose rigidity, linking phenomenological parameters to microscopic properties via Poisson-Boltzmann theory.