2377 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 demonstrates that the multifractal scaling observed in Hi-C maps is a direct analytical consequence of the power-law contact probability , establishing a universal physical link between chromatin organization's geometric competition and polymer contact statistics.
This paper demonstrates how combining the fluctuation-dissipation theorem with Koopman analysis and the Extended Dynamical Mode Decomposition (EDMD) algorithm enables the accurate prediction of a system's forced response to perturbations by deconstructing response operators into interpretable modes derived from natural variability.
This paper presents an interpretable, equation-free response theory for complex systems based on Markov chains and Koopman-inspired algebraic expansions, enabling data-driven prediction of observable responses and higher-order correlations while elucidating the roles of different timescales and providing a dynamical foundation for the Prony method.
This paper provides a theoretical overview and practical application of Maximum Likelihood, Maximum Pseudo-Likelihood, and Mean-Field methods for solving inverse statistical problems in various interacting systems undergoing phase transitions, accompanied by a reproducible GitHub repository.
This paper introduces an analytically tractable model of chaotic many-body quantum dynamics with local interactions, demonstrating that energy diffusion governs the system's behavior and that the spectral form factor can be exactly expressed via a classical master equation, revealing distinct early-time enhancement mechanisms and a universal late-time linear ramp consistent with quantum chaos.
This study demonstrates that directly solving higher-order combinatorial optimization problems using a polynomial unconstrained binary optimization (PUBO) solver yields superior solution quality and stability compared to conventional quadratic (QUBO) approaches, while avoiding the overhead and potential degradation associated with order-reduction techniques.
This paper derives moderate-to-large deviation probabilities for the number of real eigenvalues in elliptic Ginibre matrices across both strong and weak asymmetry regimes, thereby bridging the gap between known Gaussian fluctuations and extreme large deviation results, including new findings for the classical real Ginibre ensemble.
This paper introduces an exactly solvable population model demonstrating that square-root growth noise preserves the population growth rate equal to the mean single-cell rate and yields a stationary population-size fluctuation distribution independent of division mechanisms, thereby distinguishing it from models with size-independent noise.
This paper argues that the reported phonon Tesla valve cannot achieve true two-terminal thermal rectification within the fixed-background linearized phonon Boltzmann transport equation framework, as such a model inherently yields equal thermal resistance in both forward and reverse directions for passive systems.
This paper utilizes the Mori-Zwanzig projection formalism to analyze and compare four distinct exact generalized Langevin equations for a scalar observable with a non-linear potential and observable-dependent mass and friction, highlighting that including the effective kinetic energy in the potential is advantageous for observables satisfying Wick's theorem as it ensures the correct distribution even without friction or orthogonal force contributions.