The bliss of dimensionality: how an unsupervised criterion identifies optimal low-resolution representations of high-dimensional datasets

This paper validates the Relevance-Resolution framework as a robust unsupervised method for identifying optimal low-resolution representations of high-dimensional data, demonstrating that its information-theoretic criteria consistently align with ground-truth Kullback-Leibler divergence minimization across diverse synthetic and physical datasets.

Margherita Mele, Daniel Campos Moreno, Raffaello Potestio2026-03-06🔬 physics

Disorder effects in Ising metamagnetic phase transition

This study employs Monte Carlo simulations to investigate how nonmagnetic impurities and quenched random magnetic fields suppress the antiferromagnetic phase transition in Ising metamagnets, revealing distinct linear and nonlinear dependencies of the critical temperature on disorder concentration and field width, respectively, while confirming that the pure system's Néel temperature is recovered in the limit of vanishing disorder.

A. B. Acharyya, M. Acharyya2026-03-06🔬 physics

Successive single-q and double-q orders in an anisotropic XY model on the diamond structure: a model for quadrupole ordering in PrIr2_2Zn20_{20}

This study utilizes classical Monte Carlo simulations of an effective Γ3\Gamma_3 quadrupole model on a diamond lattice to demonstrate that the competition between magnetic fields and quadrupole anisotropy, mediated by a crucial symmetry-allowed biquadratic interaction, drives successive single-qq and double-qq ordering transitions that reproduce the experimentally observed weak-field topology in PrIr2_2Zn20_{20}.

Kaito Sasa, Kazumasa Hattori2026-03-06🔬 physics

Resolving Spurious Multifractality in Discrete Systems: A Finite-Size Scaling Protocol for MFDFA in the 2D Ising Model

This paper resolves the controversy of spurious multifractality in discrete systems by establishing a rigorous Finite-Size Scaling protocol for MFDFA on the 2D Ising model, demonstrating that apparent multifractality in clean systems is a finite-size artifact while genuine multifractality persists in disordered variants like the Random Bond Ising Model.

Sebastian Jaroszewicz, Nahuel Mendez, Maria P. Beccar-Varela + 1 more2026-03-06🔬 physics

Entropy Has No Direction: A Mirror-State Paradox Against Universal Monotonic Entropy Increase and a First-Principles Proof that Constraints Reshape the Entropy Distribution P(S;λ)P_{\infty}(S;λ)

This paper challenges the notion of universal monotonic entropy increase by demonstrating that time-reversal invariance necessitates a constant entropy trajectory, proposing instead that entropy is a stochastic variable whose distribution is fundamentally reshaped by constraints and boundary conditions rather than by an intrinsic directional drive.

Ting Peng2026-03-06🔬 physics