Bio-inspired learning algorithm for time series using Loewner equation

This paper proposes two bio-inspired learning algorithms for one-dimensional time series based on the statistical-mechanical properties of the Loewner equation—specifically Gaussian process regression via driving force normality and a fluctuation-dissipation relation for sensitivity analysis—which are numerically validated on neuronal dynamics and discussed in the context of biological self-organization.

Yusuke Kosaka Shibasaki2026-04-14🌀 nlin

Domain coarsening in fractonic systems: a cascade of critical exponents

This paper demonstrates that in fractonic systems where the mm-th multipole moment of the order parameter is conserved, domain coarsening after a quench follows an anomalously slow growth law of R(t)t1/(2m+3)R(t) \sim t^{1/(2m+3)}, thereby establishing a new family of non-equilibrium universality classes characterized by a cascade of dynamical critical exponents.

Jacopo Gliozzi, Federico Balducci, Giuseppe De Tomasi2026-04-14🔬 cond-mat

Smearing of dynamical quantum phase transitions in dissipative free-fermion systems

This paper demonstrates that while nonanalyticities associated with dynamical quantum phase transitions in dissipative free-fermion systems can persist under purely gain or purely loss processes, they are completely smeared out as soon as both channels are simultaneously active, a phenomenon accompanied by the emergence of a nested lightcone structure in the reduced Loschmidt echo dynamics.

Gilles Parez, Vincenzo Alba2026-04-14🔬 cond-mat

Gravity-Induced Modulation of Negative Differential Thermal Resistance in Fluids

This study demonstrates that introducing gravity along the direction of the thermodynamic force significantly reduces the temperature threshold for negative differential thermal resistance (NDTR) in fluids, extends the NDTR mechanism to strongly interacting and mixed fluid systems, and provides a theoretical basis for designing gravity-harnessed fluidic thermal devices.

Qiyuan Zhang, Juncheng Guo, Juchang Zou, Rongxiang Luo2026-04-14🔬 cond-mat

First-Passage Times for the Space-Fractional Spectral Fokker-Planck Equation

This paper extends the random walk framework to a new class of superdiffusive processes governed by the space-fractional spectral Fokker-Planck equation, deriving first-passage time properties that differ from standard Lévy flights by accounting for space-dependent forces and boundary interactions, and revealing a novel asymptotic scaling and an optimal fractional exponent for minimizing mean first-passage times.

Christopher N. Angstmann, Daniel S. Han, Bruce I. Henry, Boris Z. Huang2026-04-14🔬 cond-mat

Short-time statistics of extinction and blowup in reaction kinetics

This paper develops a time-dependent WKB approximation combined with Laplace-transformed backward master equation analysis to accurately calculate the short-time statistics of extinction and blowup in stochastic reaction systems, specifically determining the essential singularity and the previously undetermined pre-exponential factor by matching with inner solutions.

Rotem Degany, Michael Assaf, Baruch Meerson2026-04-14🔬 cond-mat

The resonant level model from a Krylov perspective: Lanczos coefficients in a quadratic model

This paper demonstrates that in the quadratic resonant level model, the growth behavior of Lanczos coefficients can be arbitrarily tuned by adjusting the coupling to the hybridization band, thereby proving that these coefficients are inadequate as a universal criterion for distinguishing between integrable and chaotic systems or for predicting physical behavior like autocorrelation decay.

Merlin Füllgraf, Jiaozi Wang, Jochen Gemmer, Stefan Kehrein2026-04-14⚛️ quant-ph

Critical Temperatures from Domain-Wall Microstate Counting: A Topological Solution for the Potts Universality Class

This paper presents a topological framework based on domain-wall microstate counting that derives a universal relation for the critical temperatures of the qq-state Potts model, successfully recovering exact solutions for two-dimensional lattices and achieving high accuracy for three-dimensional geometries by unifying the phase transition as a saturation of interface propagation governed by lattice topology.

David Vaknin2026-04-14🔬 cond-mat