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.

⚛️ quantum physics

Analytical solution of boundary time crystals via the superspin basis

This paper establishes a controlled analytical framework for boundary time crystals by introducing a superspin representation of Liouville space to derive an effective Liouvillian that yields closed-form expressions for long-time dynamics, thereby confirming spontaneous time-translation symmetry breaking in the canonical model while distinguishing it from other dissipative spin systems.

Dominik Nemeth, Alessandro Principi, Ahsan Nazir2026-02-20
🔬 materials science

Ferrocene-functionalized covalent organic framework exceeding the ultimate hydrogen storage targets: a first-principles multiscale computational study

This first-principles multiscale computational study demonstrates that a ferrocene-functionalized covalent organic framework (MSUCOF-4-FeCp) significantly exceeds U.S. Department of Energy hydrogen storage targets with 18.0 wt% gravimetric and 72.6 g H2/L volumetric capacities at 298 K and 700 bar, offering a cost-effective alternative to precious metal-based materials.

Marcus Djokic, Jose L. Mendoza-Cortes2026-02-20
🌀 nonlinear sciences

Dissipation as a Resource: Synchronization, Coherence Recovery, and Chaos Control

This paper demonstrates that dissipation, typically viewed as a detrimental source of decoherence, can be harnessed as a resource in a Bose-Josephson junction to engineer distinct dynamical phases—including synchronization, coherence recovery, and controlled chaos—thereby enabling the manipulation of quantum coherence and the duration of information scrambling.

Debabrata Mondal, Lea F. Santos, S. Sinha2026-02-20
⚛️ quantum physics

A Study of Entanglement and Ansatz Expressivity for the Transverse-Field Ising Model using Variational Quantum Eigensolver

This paper investigates the effectiveness of various variational quantum eigensolver ansatzes, including hardware-efficient and physics-inspired approaches, in simulating the transverse-field Ising model across one, two, and three dimensions by benchmarking their performance on systems up to 27 qubits using metrics such as energy variance, entanglement entropy, and spin correlations.

Ashutosh P. Tripathi, Nilmani Mathur, Vikram Tripathi2026-02-20
⚛️ general relativity

The canonical ensemble of a self-gravitating matter thin shell in AdS

This paper constructs the canonical ensemble of a self-gravitating thin shell in anti-de Sitter space using the Euclidean path integral approach to derive its thermodynamic properties, identify a fully stable equilibrium configuration, and demonstrate a first-order phase transition to a Hawking-Page black hole phase that occurs below a maximum temperature limit.

Tiago V. Fernandes, Francisco J. Gandum, José P. S. Lemos2026-02-19
⚛️ quantum physics

Diffusion Codes: Self-Correction from Small(er)-Set Expansion with Tunable Non-locality

This paper introduces "diffusion codes," a class of classical and quantum LDPC codes constructed by applying tunable-depth random SWAP networks to graphs, which achieve a tradeoff between code optimality and geometric locality while ensuring self-correction and single-shot decoding with stabilizer sizes growing as an arbitrarily small power law.

Adithya Sriram, Vedika Khemani, Benedikt Placke2026-02-19