Long-range self-avoiding walk in one dimension: a Monte Carlo studyWe study the one-dimensional long-range self-avoiding walk in the grand-canonical ensemble where the statistical weight of a jump of length r decays algebraically as r-(d+σ). Using large-scale…Jiang Zhou, Ziyu Liu, Pengcheng Hou et al.·Sep 20, 2026SaveLearn
Migration Flows: Population Scaling and Heavy TailsWe show how migration between counties in different cities can explain both the population scaling of mean intercity flows and heavy-tailed intercity net-flow distributions. Density-dependent…Cook Hyun Kim, Sangjoon Park, Seoyoung Jin et al.·Sep 18, 2026SaveLearn
Intermittency in Wind-Driven FiresWe construct a wind-driven forest-fire model in one dimension in which a fire can jump gaps between trees to ignite disjoint downwind forests. The size of a gap that a fire can jump depends on the…Laurent Hébert-Dufresne, Aanjaneya Kumar, S. Redner·Sep 18, 2026SaveLearn
Diffusion with stochastic resetting in the presence of a delta killing trap: Drift-controlled survival regimesWe study a one-dimensional diffusive particle subject to stochastic resetting to its initial position, in the presence of an imperfect, localized target that can absorb (kill) the particle, modeled…Alain Mazzolo·Sep 18, 2026SaveLearn
Universal Eigenvector Statistics of Non-Hermitian Random MatricesEigenvector overlaps quantify nonorthogonality and govern the response and dynamics of non-Hermitian systems. We extend the universality of non-Hermitian random matrices to the statistics of these…Ze Chen, Zhenyu Xiao, Shinsei Ryu·Sep 18, 2026SaveLearn
Multi-Resolution Wire-Fencing for Efficient Path SamplingPath sampling methods enable the computation of thermodynamic and kinetic properties through Monte Carlo (MC) moves that generate trajectories from short forward and backward molecular dynamics (MD)…Simen Z. Stenersen Michler, Lukas Baldauf, Titus S. van Erp·Sep 18, 2026SaveLearn
Non-negative differential mobility of one-dimensional underdamped Langevin dynamics: Proof via mapping to a marginally stable oscillatorFor an underdamped particle driven by a constant non-conservative force across a periodic potential in one spatial dimension at finite temperature, numerical studies have shown that the differential…Udo Seifert·Sep 18, 2026SaveLearn
Full macroscopic thermalization and the formation of Schrödinger's cats by unitary time evolution in the weakly perturbed Ising model - Applications of the Roos-Sugimoto-Teufel-Tumulka-Vogel theoryWe study macroscopic thermalization in the ferromagnetic Ising model with a weak generic (highly nonlocal and many-body) random quantum perturbation. We prove that a single typical perturbation makes…Hal Tasaki·Sep 18, 2026SaveLearn
Self-avoiding trails in two and three dimensionsThe self-avoiding trail is an important variant of the self-avoiding walk. In this work, we employ an irreversible Markov chain Monte Carlo algorithm, together with the reversible Berretti-Sokal…Xiaodi Su, Zongzheng Zhou, Qianqian Wu·Sep 18, 2026SaveLearn
The charge dependent hard-sphere model: Polycrystals as low-energy configurationsWe investigate the emergence of rigid polycrystalline structures in atomistic ionic particle systems as low-energy configurations. The interaction between particles of opposite charge is modeled by…Leonard Kreutz, Timo Ziereis·Sep 18, 2026SaveLearn
Local Detailed Balance in the Lorenz Model: Replaces the Butterfly with Frenetic BurstingThe Lorenz system is the canonical low-order model of convective instability, yet its dissipative and driving terms have never been checked against, nor constructed from, an explicit thermodynamic…Faezeh Khodabandehlou, Christian Maes·Sep 18, 2026SaveLearn
The Scale Invariance Behind Boltzmann CountingBoltzmann counting possesses an exact scale invariance from which the specific entropy emerges without asymptotic approximation. Under thermodynamic replication, this invariance exposes the Gibbs…M. H. Benetti·Sep 17, 2026SaveLearn
Persistence, resetting, and first-passage times of an active Ornstein--Uhlenbeck particleWe study the first-passage time statistics of an active Ornstein--Uhlenbeck particle on a finite one-dimensional interval with an absorbing boundary at one end and a reflecting boundary at the other,…Demosthenes K. Georgiou, Paul C. Bressloff, Thibault Bertrand·Sep 17, 2026SaveLearn
Functional Renormalization for Random Matrix Theory: The relational background field methodThe construction of a reliable renormalization group (RG) flow for discrete gravity models that preserves their underlying symmetry group, typically U(N) or O(N), remains an open problem. For…Vincent Lahoche, Dine Ousmane Samary·Sep 17, 2026SaveLearn
Arctic Curves and a Gapped Gas Phase in a Two-Band Free-Fermion ChainWe study the imaginary-time evolution of a domain-wall state constrained to return to itself in a staggered free-fermion chain. The resulting space-time profile separates into frozen, liquid, and gas…Charles Jordan, Dimitri M. Gangardt, Alexander G. Abanov·Sep 17, 2026SaveLearn
Bootstrapping Classical Systems with Quenched DisorderWe introduce a bootstrap method for deriving bounds on disorder-averaged observables in classical statistical systems with quenched disorder. The three main ingredients of the bootstrap are the…Minjae Cho, Yaprak Önder, Eslam Khalaf et al.·Sep 17, 2026SaveLearn
Global Minima of the Thomson Problem in a Disk: A Molecular Dynamics Approach with Fixed Border ChargesWe report improved global-minimum configurations for the classical Thomson problem of N=60, 61, 92, and 99 repulsive Coulomb charges confined to a disk. By combining the quenched molecular…Georgiy K. Lavrov, Eduard G. Nikonov·Sep 17, 2026SaveLearn
Martingale theory for heat and phase-space contraction in heterogeneous diffusionsWe investigate martingale properties of heat dissipated by generic non-equilibrium overdamped Langevin dynamics with multiple dimensions and transport coefficients that may depend explicitly on time…Jing Qin, Nariya Uchida, Édgar Roldán·Sep 17, 2026SaveLearn
Formal Fluctuation-Response Relations for Non-Stationary Systems: The Dynamic Conjugate VariableFluctuation-response relations (FRRs) connect the linear response of a system to an external perturbation with properties of spontaneous fluctuations in the unperturbed system. We provide a simple…Igor M. Sokolov·Sep 17, 2026SaveLearn
Khinchin's ergodicity and typicality in statistical mechanicsThe formulation of statistical mechanics in terms of ensembles, originally proposed by Gibbs, has proved to be extremely effective in describing the equilibrium state of many-particle systems, in the…Dario Lucente, Marco Baldovin, Giacomo Gradenigo et al.·Sep 17, 2026SaveLearn
Universal 1/f Noise in the Power Spectra of Energy Time-series in Solvated DNA DynamicsWe investigate energy fluctuations of solvated DNA in three conformations: G-quadruplex, Hairpin, and Duplex. Our comprehensive molecular dynamics (MD) simulations demonstrate that the time-series of…Harsh Sahu, Deepika Sardana, Pramod Kumar et al.·Sep 17, 2026SaveLearn
Landau diamagnetism and the de Haas-van Alphen effect from a single geometric constructionLandau diamagnetism is usually derived from the grand canonical potential, a calculation that yields the correct susceptibility but little physical insight, while the rule that extremal cross…Sung-Hoon Lee·Sep 17, 2026SaveLearn
Higher-Order Interactions in Complex Systems: Mechanisms, Behaviour, Representation and ReducibilityHigher-order interactions couple three or more elements in ways that cannot be decomposed into pairwise contributions. In diverse complex systems they produce striking collective behaviours such as…Francisco J. Pérez-Reche·Sep 17, 2026SaveLearn
Encounter Propagator for Multiple Targets: A Dirichlet-to-Neumann Spectral FormalismWe develop an encounter-based formulation of restricted diffusion in a bounded domain with multiple targets, resolving separately the boundary local time accumulated on each target. Unlike the…Denis S. Grebenkov·Sep 17, 2026SaveLearn
Collective Symmetry and Criticality from Single-Component FluctuationsSymmetry plays a fundamental role in modern physics by guiding the classification of phases and the construction of effective theories of critical systems. Identifying collective symmetry remains…Chunhao Guo, Zhe Wang, Zheng Yan·Sep 17, 2026SaveLearn