Theory of supercooled waterWe introduce a model of water contemplating true supercooled-liquid states that, as such, are metastable with respect to the crystalline-solid ones. Its numerical solutions reproduce from…Jacobo Troncoso, Claudio A. Cerdeiriña·May 22, 2026SaveLearn
Universal classification of continuous phase transitions with two order parametersThe continuous phase transition, indicated by the macroscopic order parameter and the occurrence of the spontaneous symmetry breaking, is well illustrated based on the Ginzburg-Landau's paradigm.…Yilun Xu, Feng-xiao Sun·May 22, 2026SaveLearn
Chirality-sensitive mobility and dissipation of Brownian motion on a helical landscapeWe study the Brownian dynamics and linear response of a particle with inertia moving in a 2-dimensional helical landscape imprinted on a cylindrical surface. In the harmonic well approximation, the…Debankur Bhattacharyya, Abraham Nitzan·May 22, 2026SaveLearn
Multi-field Return Point MemoryNon-equilibrium systems display memory, a dependence not merely on their present environment but on previously applied fields. Multistable systems such as spin glasses, martensites and granular…Nathaniel Croce, Hossein Salahshoor, D. Zeb Rocklin·May 22, 2026SaveLearn
Order-Disorder Tricriticality in An Bn Star Polymer MeltsTricriticality usually requires tuning an additional thermodynamic parameter. Here we show that, in symmetric AnBn star-polymer melts, the arm number n itself plays this role…Minhoon Kim, Wonjun Kang, Daeseong Yong et al.·May 22, 2026SaveLearn
Inviscid scaling in the Kuramoto-Sivashinsky equation from functional renormalization group and direct numerical simulationsWe show that the one-dimensional Kuramoto-Sivashinsky (KS) equation features a scaling regime characterized by the dynamical exponent z=1 at intermediate scales between the large-scale…Liubov Gosteva, Dipankar Roy, Nicolás Wschebor et al.·May 22, 2026SaveLearn
Exact solution of generalized gauge-invariant Ising chains with multi-spin interactionsIn this work, exact solutions are obtained for a class of generalized gauge-invariant n-chain Ising models (n=1,2,3,4) with arbitrary multi-spin interactions that are invariant under the local…Pavel Khrapov, Stepan Shchurenkov·May 22, 2026SaveLearn
Field Theory of Data: Anomaly Detection via the Functional Renormalization Group. The 2D Ising Model as a BenchmarkWe establish a correspondence between anomaly detection in high-noise regimes and the renormalization group flow of non-equilibrium field theories. We provide a physical grounding for this framework…Riccardo Finotello, Vincent Lahoche, Parham Radpay et al.·May 22, 2026SaveLearn
Lattice TadpolesWe prove several rigorous results about the asymptotic behaviour of the numbers of tadpoles (or lassos) embedded in a lattice, including cases where the head is subject to a constraint like being…S G Whittington·May 22, 2026SaveLearn
Linearization Principle: The Geometric Origin of Nonlinear Fokker-Planck EquationsAnomalous diffusion and power-law distributions are observed in various complex systems. To provide a consistent dynamical foundation for these phenomena, we present a geometric derivation of the…Hiroki Suyari·May 22, 2026SaveLearn
Using precision coefficients on recurrence times and integrated currents to lower bound the average dissipation rateFor continuous-time Markov jump processes on irreducible networks with time-independent rate constants, we employ a transition-based formalism to express the long-time precision of a single…Alberto Garilli, Diego Frezzato·May 22, 2026SaveLearn
Three faces of random walks in a hyperbolic domain: BKT, Lifshitz tails, and KPZWe show that continuous random walks (diffusion) in the Poincaré upper half-plane H2 = \(x,y)| y>0\ provide a unified description of three seemingly unrelated phenomena: (i) the…Daniil Fedotov, Sergei Nechaev·May 22, 2026SaveLearn
Long-time Freeness in the Kicked TopRecent work highlighted the importance of higher-order correlations in quantum dynamics for a deeper understanding of quantum chaos and thermalization. The full Eigenstate Thermalization Hypothesis,…Elisa Vallini, Silvia Pappalardi·May 22, 2026SaveLearn
Emergent heavy-tailed distributions from a Markovian random walkThe emergence of heavy-tailed statistics in complex systems is conventionally attributed to non-local stochastic jumps or non-Markovian memory. Here, we present a one-dimensional random walk where…Henrique S. Lima, Evaldo M. F. Curado·May 21, 2026SaveLearn
The cell fluid model with Curie-Weiss interactions: special cases and analytical resultsInspired by previous extensive numerical studies of a cell fluid model with Curie-Weiss interactions, we concentrate on some analytically tractable special cases in its description. The key…O. A. Dobush, M. P. Kozlovskii, I. V. Pylyuk et al.·May 21, 2026SaveLearn
Aggregation-Fragmentation Processes with Broken Detailed BalanceWe study aggregation-fragmentation processes in which pairs of clusters can aggregate, and each cluster can break into two fragments. If the rates of aggregation and fragmentation do not depend on…P. L. Krapivsky·May 21, 2026SaveLearn
Berezinskii-Kosterlitz-Thouless-type Transition in Site Percolation on the Diamond Hierarchical LatticeWe study site percolation on the diamond hierarchical lattice, a finite-dimensional fractal network, using an exact generating-function analysis. In contrast to bond percolation, site percolation on…Takehisa Hasegawa, Kazuki Wataya, Tomoaki Nogawa·May 21, 2026SaveLearn
Thermodynamic Irreversibility of Training AlgorithmsThe training algorithms for AI systems all introduce far-from-equilibrium dynamical processes, and understanding the irreversibility of these algorithms is a fundamental step towards understanding…Liu Ziyin, Yuanjie Ren, Adam Levine et al.·May 21, 2026SaveLearn
Direct Boltzmann inversion method from particle configurations at arbitrary state pointsWe introduce a direct Boltzmann inversion method to infer the interaction potential in particle systems using as input particle configurations generated at an arbitrary state point of the system.…Olivier Coquand, Davide Paolino, Ludovic Berthier·May 21, 2026SaveLearn
Structure and statistical organization of the stationary state of the Oslo modelIn most driven-dissipative sandpile models, the dynamics of the system reaches a critical stationary state. This state displays organization features such as a power-law avalanche spectrum and…Valentin Lallemant, Vincent Rossetto·May 21, 2026SaveLearn
Supersymmetry Without Time-Reversal Invariance in Model A: A FRG perspectiveWe show that, contrary to common belief, supersymmetry alone is not sufficient in Model A dynamics to ensure relaxation toward a stationary state satisfying time-reversal invariance (TRI). An…Sankarshan Sahu, Bertrand Delamotte, Adam Rançon et al.·May 20, 2026SaveLearn
MetaDNS: Enhancing Exploration in Discrete Neural Samplers via Well-Tempered MetadynamicsSampling from discrete distributions with multiple modes and energy barriers is fundamental to machine learning and computational physics. Recent discrete neural samplers like MDNS suffer from mode…Xiaochen Du, Juno Nam, Jaemoo Choi et al.·May 20, 2026SaveLearn
Competing anisotropies and phase transitions in the q-state clock model with a p-fold crystalline fieldWe study the two-dimensional q-state clock model in the presence of an additional p-fold symmetry-breaking crystalline field using Monte Carlo simulations. While the pure clock model exhibits…Milan Žukovič·May 20, 2026SaveLearn
Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional q-state Potts modelsWe study the out-of-equilibrium spinodal-like behavior of three-dimensional (3D) q-state Potts models (for q 3), observed when the temperature is quenched across the first-order transition…Andrea Pelissetto, Davide Rossini, Ettore Vicari·May 20, 2026SaveLearn
Macroscopic Thermodynamic Framework for the Mpemba EffectThe counterintuitive Mpemba effect, wherein a hotter system cools faster, critically lacks a general macroscopic theory. Here, starting from linear irreversible thermodynamics, we formulate a…Yun-Qian Lin, Z. C. Tu, Yu-Han Ma·May 20, 2026SaveLearn