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 study demonstrates that the interplay between material disorder (quantified by the Weibull modulus) and lattice geometry (specifically the Slenderness Ratio) governs three distinct fracture regimes in pre-cracked beam-lattices, revealing that disorder-induced toughening is a non-monotonic phenomenon not solely determined by damage extent or crack tortuosity.
This paper presents precise estimates of the critical exponents , , and for the three-dimensional Ising model by resumming seven- and eight-loop renormalization-group series, revealing that while the error for decreases rapidly with loop order, the slow convergence of all exponents leads to a systematic tension with current conformal bootstrap benchmarks.
This paper establishes a compositional continuum framework for nonlinear convection-diffusion systems that ensures thermodynamic consistency, specifically the preservation of free-energy balance and nonnegative dissipation, across domain restriction, subsystem coupling, linearization, and various levels of numerical discretization.
This paper presents an exact solution for the ferromagnetic Ising model on random regular graphs by expressing the partition function as a generating function of labeled edge-bicolored graphs, thereby deriving the free energy and confirming a second-order phase transition with mean-field critical exponents through analytic combinatorics.
This paper investigates the complex eigenvalue statistics of the asymmetric quantum baker map with partial projective openings, revealing a smooth crossover from quasi-1D to 2D Ginibre-like regimes governed by the number of open channels and reflectivity, which aligns with partially truncated circular unitary ensemble predictions and suggests universal behavior in open quantum chaotic systems.
This study demonstrates that driven-dissipative Bose-Hubbard lattices with three-photon driving can spontaneously break symmetry to realize Potts criticality, where the universality class transitions from the 2D classical three-state Potts model to the 1D quantum three-state Potts model depending on the dimensionality and the specific multiphoton loss mechanisms.
This paper investigates the emergence of irreducible tripartite entanglement in quantum dynamics by demonstrating that the Markov gap exhibits distinct growth patterns and volume-law saturation, while introducing the concept of essential tripartite fermions to provide an operational interpretation linking the gap's value to the singular values of a tripartite null matrix.
This paper proposes a generalized definition of temperature for isolated quantum many-body systems out of equilibrium by locating non-stationary states within a family of regular states compatible with their energy-coherence structure, thereby replacing the principle of maximum entropy with a principle of minimum discrimination information and extending the framework to subsystems via induced local thermodynamic structures.
This paper proposes an experimentally feasible superconducting-circuit quantum heat engine that utilizes collective dissipation to circumvent the classical power-efficiency trade-off, thereby enabling an asymptotic approach to Carnot efficiency while maintaining finite power.
This paper reviews recent advances in the entanglement of free-fermion systems on graphs by leveraging signal processing techniques to identify commuting tridiagonal matrices and utilizing the irreducible decomposition of Terwilliger algebras from -polynomial association schemes to simplify the analysis.