cond-mat.stat-mech 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.

🔬 condensed matter

Global space correlations of polarization, charge density, and electric field in electrolytes under the fixed-potential condition

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.

Akira Onuki2026-05-19

🔬 condensed matter

Exact solution and pair correlation functions for a generalized three-chain Ising tube with multispin interactions

This paper presents an exact solution for a generalized three-chain Ising tube with the most general $C_3$ -invariant Hamiltonian containing 20 coupling constants, deriving the partition function and thermodynamic properties via an $8\times 8$ transfer matrix while analyzing specific cases where the characteristic polynomial simplifies and providing explicit formulas for pair correlation functions and magnetization.

Pavel Khrapov, Nikita Volkov2026-05-19

🔬 condensed matter

Variational Boundary Fluctuations as a First-Principles Origin of Langevin Noise

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.

Francisco Monroy2026-05-19

🔬 condensed matter

Theory of melting lines with a variable enthalpy of fusion

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.

Anthony N. Papathanassiou2026-05-19

🔬 condensed matter

Mpemba effect in a sheared granular gas with velocity-dependent restitution

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.

Makoto R. Kikuchi, Yuria Kobayashi, Satoshi Takada2026-05-19

🔬 condensed matter

Entropy additivity from exponential decay of correlations: a coarse-grained operator approach

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.

Bob Osano2026-05-19

⚛️ quantum physics

Parameterized 4-Qubit EWL Quantum Game Circuits with Dirac-Solow-Swan Hamiltonian Integration for Quadruple Helix Disruptive Innovation Recommender Systems

This paper proposes a NISQ-compatible, parameterized 4-qubit EWL quantum game circuit that integrates real-world funding data from the CORDIS database with a Dirac-Solow-Swan Hamiltonian to model and forecast disruptive innovation trajectories within quadruple helix ecosystems.

Agung Trisetyarso, Fithra Faisal Hastiadi, Kridanto Surendro2026-05-19

🔬 condensed matter

Perturbation Theory of the Free Energy via the Mesoscopic Combined Partition Function

This paper develops a systematic perturbation theory for the Helmholtz free energy of classical $N$ -body systems within a mesoscopic framework, deriving an exact formula that relates the full free energy to a factorized mesoscopic partition function corrected by inter-cell mutual information terms to account for non-extensivity and recover established results like the van der Waals equation.

Bob Osano2026-05-19

🔬 physics

Localization of a quantum particle in a classical one-component plasma. Fluctuation-induced random potential and the Coulomb logarithm

This paper develops a microscopic theory demonstrating that thermal fluctuations in a classical one-component plasma generate a random potential with an unscreened $1/r$ tail, leading to disorder-induced quantum localization characterized by a length scale that explicitly depends on the Coulomb logarithm, thereby bridging quantum localization phenomena with classical plasma kinetic theory.

Yury A. Budkov2026-05-19

🔬 condensed matter

Localization of a quantum particle in a classical one-component plasma. II. Dynamic Disorder and Temporal Decorrelation

This paper extends the theory of disorder-induced localization for a quantum particle in a classical one-component plasma to the dynamic regime, revealing that while fast particles recover static scaling, ultra-slow particles avoid exponential localization due to temporal decorrelation, resulting in a distinct velocity-dependent scaling of the localization length.

Yury A. Budkov2026-05-19

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