Statistical Mechanics Papers of the Week

We introduce a multi-trace eigenstate thermalization hypothesis, an extension of ETH that governs connected correlations of operator matrix elements with arbitrary index structures, including several disjoint index cycles.

In particular, we argue that the effective spin diffusion coefficient of a dissipative Heisenberg chain and the effective subdiffusion coefficient of a dipole-conserving fracton approach their noiseless value as $\gamma^{1/2}$.

We prove a minimum total interface length of $4L$ and classify all $L^2(L^2-1)/2$ selected states.

We apply these results to the honeycomb surface code, in which we find an extended long-range entangled critical regime that is a quasi-long-ranged counterpart of 1-form strong-to-weak spontaneous symmetry breaking. As a byproduct of these studies, we relate the conditional mutual information to conductance in a Majorana network model.

Samples of the marginal CV distribution must be generated by molecular dynamics (MD), whose trajectories can remain trapped in metastable states and rarely cross the free-energy barriers governing conformational changes or chemical reactions. We introduce VESPER, which couples the generation of these samples to neural-network-driven free-energy learning: MD supplies configurations for learning, while the evolving model biases the MD to accelerate exploration and generate further training data.

Abstract We investigate the thermodynamic properties, chiral phase transitions, and net-baryon number fluctuations in the two-flavor NJL and PNJL models from the perspective of renormalization group (RG) consistency.

Here, we demonstrate a synergistic strategy to construct a high-rate, air-stable P2-Na0.62K0.05MnO2/CeO2 cathode, by combining K+ bulk doping at Na sites with a CeO2 surface coating.

We develop a numerical conformal bootstrap for two-dimensional CFTs with $c>1$ based on Virasoro conformal blocks, computed with Zamolodchikov's recursion and optimal polynomial interpolation.

Prominent examples include the AKLT model and Kitaev's toric code model, which serve as paradigmatic models of symmetry-protected topological phases and topological order, respectively.

We study $S=1$ compass models on the square and kagome lattices with bond-dependent bilinear and biquadratic interactions parametrized by an angle $\theta$.

We show that the equation governing the corresponding Nambu-Goldstone mode, completed with terms previously discarded, possesses on large scales an invariance combining a shear and a Galilean boost.

For Weeks--Chandler--Andersen potential, the nonintegrable core makes both the Fourier transform of the potential and the self-interaction correction term in the Dean--Kawasaki field theory ill-defined. We therefore introduce an approximation that replaces the interaction potential with a passive direct-correlation function fitted separately at each density and temperature.

In this work, we establish a fundamental relation between mixed-state phases and pure-state phases.

We use Langevin-dynamics simulations of a flexible, self-avoiding linear polymer to determine how active-domain placement and independently assigned propulsion polarities control nonequilibrium knotting.

We derive a trajectory-level decomposition of total entropy production that cleanly separates transient state relaxation, housekeeping heat, and external protocol driving.

At the optimal Mg/Mo molar ratio of 5:5, the material delivers an initial discharge specific capacity of 297.4 mAh/g and maintains a reversible capacity of 188.9 mAh/g after 200 cycles at a high rate of 5C, with a capacity retention of 76.78%. This nanoscale spatially differentiated synergistic mechanism mitigates the structural degradation of the material, providing an effective perspective for the design of highly stable Li-rich cathodes.

In particular, we find that the defect-number distribution evolves from approximately Gaussian to nearly Poissonian across the crossover from the KZM regime to nucleation-dominated defect formation.