1537 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 the linear relaxation and fluctuation dynamics of weakly deformed interfaces separating stable phases using fluctuating hydrodynamics and the dynamical-action formalism, extending results from equilibrium to non-equilibrium systems like active model A while cautioning against the uncontrolled application of popular equilibrium ansätze to active field theories.
This paper generalizes the Euler-Maruyama method to simulate non-Wiener processes driven by non-Gaussian Lévy noise, demonstrating its physical superiority over geometric Brownian motion in specific examples and validating the additive noise results through a derived master equation.
This paper introduces a general framework of branching under first-passage resetting to demonstrate how endogenous stochastic threshold-crossing events drive population growth, revealing that timing fluctuations generally enhance growth rates while exposing a fundamental trade-off between offspring yield and replication delay that optimally explains bacteriophage lysis strategies.
This topical review provides a unified perspective on the computationally intractable but optimal Maximum Likelihood Decoding (MLD) of quantum error correction codes by surveying recent advances through the complementary lenses of statistical mechanics, tensor networks, and artificial intelligence, while discussing their connections, applications, and future challenges.
This paper investigates the thermal fluctuations and global space correlations of polarization, charge density, and electric field in dilute electrolytes between fixed-potential metallic electrodes, revealing that the nature of these correlations and the effective dielectric constant depend critically on whether the film thickness is smaller or larger than the Debye screening length.
This paper presents an exact solution for a generalized three-chain Ising tube with the most general -invariant Hamiltonian containing 20 coupling constants, deriving the partition function and thermodynamic properties via an transfer matrix while analyzing specific cases where the characteristic polynomial simplifies and providing explicit formulas for pair correlation functions and magnetization.
This paper proposes a first-principles derivation of Langevin noise by demonstrating that fluctuations in the boundary data of Hamilton's principle induce state-dependent, multiplicative stochastic forces through the gradient of the on-shell action, with homogeneous additive noise emerging only as a specific Markovian limit.
This paper presents a new analytical model for melting lines by modifying the Clausius-Clapeyron relation to account for a variable enthalpy of fusion driven by anharmonic solid-state effects, yielding parabolic solutions defined by fundamental thermophysical properties that corroborate recent universal models of liquid melting.
Using kinetic theory, this study demonstrates that a dilute sheared granular gas with a velocity-dependent restitution coefficient exhibits both temperature and viscosity Mpemba effects, where systems with higher initial temperatures relax faster than cooler ones, with the velocity dependence introducing an intrinsic timescale that enables multiple relaxation curve crossings.
This paper provides a constructive derivation of thermodynamic extensivity by demonstrating that coarse-grained entropy becomes additive in the thermodynamic limit for systems with short-range interactions, provided the pair potential satisfies stability, temperedness, and exponential decay of correlations, while quantifying non-additivity and surface corrections for systems with long-range forces.