Non-reciprocally interacting Ornstein-Uhlenbeck processes: Exceptional points, Anomalous relaxation, Pseudo-equilibrium and Boundary refrigerationNon-reciprocal interactions are ubiquitous in active, biological, and disordered systems, generically driving them out of equilibrium. Here, we introduce a hierarchy of non-reciprocally interacting…Soumya Kanti Pal, Shamik Gupta·Sep 4, 2026SaveLearn
Diffusion under competing bulk and surface stopping mechanismsWe investigate reflected diffusion in a bounded domain subject to two independent, competing stopping mechanisms: an exponentially distributed bulk lifetime of rate p and a surface reaction…Yilin Ye·Sep 4, 2026SaveLearn
Markov chains at the onset of non-reversibilityFor a one-dimensional path graph and a lifted path graph constructed from a duplication of each of its sites, we study how a reversible Markov chain can be perturbed and gradually driven into…Gustave Robichon, Cecile Monthus, Werner Krauth·Sep 4, 2026SaveLearn
On the growth of operator entanglement in brickwork circuits with Yang--Baxter gatesWe study the operator entanglement of local operators in one-dimensional brickwork circuits whose two-site gate satisfies the braid relation; throughout this work, we call such a gate a Yang--Baxter…Balázs Pozsgay·Sep 4, 2026SaveLearn
Tensor-Network Inference in a Field-Coupled XY Model for Portfolio AllocationWe apply tensor-network methods to a field-coupled XY model for long-only portfolio construction. Daily return statistics set asset-specific fields and correlation couplings. Correlation distance,…Kartikeya Chowdhry, G Subrahmanya V. R. K. Rao·Sep 4, 2026SaveLearn
Anomalous diffusion in porous fractal mediaWe suggest a model of a diffusive process inside a fractal sponge structure, which is a generalization of the diffusion processes on a comb and fractal mesh structure. The sponge model is considered…Alexander Iomin, Trifce Sandev·Sep 4, 2026SaveLearn
Universal Thermodynamic Law Governing Stochastic Pendulum ClocksClocks' performance, especially their precision, is fundamentally limited by thermodynamic laws as they are physical devices. Yet, it is known that the established thermodynamic uncertainty…Yuki Izumida·Sep 4, 2026SaveLearn
Thermodynamic learningWe discuss the possibility to train a thermodynamic system, whose micro-variables are fully determined through the Hamiltonian by the usual statistical mechanical rules, to perform tasks such as…F. Corberi, S. dello Russo, G. Messuti et al.·Sep 4, 2026SaveLearn
Scaling laws and energy dissipation in the dynamics of SLE curve as a 1D turbulence modelIn this study, we demonstrate the characteristics of the stochastic Loewner evolution (SLE) as a one-dimensional (1D) turbulence model. First, we show that the diffusion process x(t) obtained by…Yusuke K. Shibasaki·Sep 4, 2026SaveLearn
Mean-field theory for quantum spin chainsMean-field theory is a widely used approximation for describing phase transitions, particularly effective above the upper critical dimension. Its origins can be traced back to the van der Waals…Mylène Martirosyan, Astrid Monin-Baroille, Leïla Moueddene et al.·Sep 4, 2026SaveLearn
Breakdown of the Overdamped Approximation in Fluctuating EnvironmentsThe overdamped approximation is widely used to describe Brownian motion in complex environments, but its validity becomes nontrivial when the friction coefficient itself fluctuates in time. We…Kazuki Fukutani, Takuma Akimoto·Sep 4, 2026SaveLearn
Von Neumann's Two Quantum EntropiesVon Neumann proposed two quantum entropies, one in 1927 and the other in 1929. He intended to define thermodynamic entropy for quantum states in both cases. The 1927 entropy is the well-known von…Biao Wu·Sep 3, 2026SaveLearn
Fukui-Kawakami chains: spectrum and hidden gl(1|1)-symmetryFukui and Kawakami showed that the trigonometric Haldane--Shastry (HS) spin chain can be deformed by introducing twisted boundary conditions. In this work we revisit the resulting twisted HS chains,…Rob Klabbers, Antoine Lefebvre·Sep 3, 2026SaveLearn
Thermodynamic Concentration Inequalities: Controlling Uncertainty in Finite-Time and Small-Sample Thermodynamic InferenceWe derive nonasymptotic upper bounds on the probability that a generalized current of a geometrically ergodic diffusion observed for any amount of time, or its sample mean over any arbitrary sample…Rick Bebon, Aljaž Godec·Sep 3, 2026SaveLearn
Effective Hamiltonian description on monitored Majorana chains: correlated power-law hoppings and unconventional entanglement scalingWe investigate the structures of effective Hamiltonians governing monitored dynamics of a one-dimensional Majorana chain through the Lyapunov spectral analysis. We focus on a gapless phase…Ken Mochizuki, Hisanori Oshima, Ryusuke Hamazaki et al.·Sep 3, 2026SaveLearn
Equivalence classes of finite-time transitions in optimal control and non-equilibrium relaxationWe present a theory for the optimal control of stochastic systems in structured environments, represented by penalty terms in the cost functional. We show that such control problems generically…Jan Meibohm, Samuel Monter, Clemens Bechinger et al.·Sep 3, 2026SaveLearn
Frenkel line of Yukawa fluids within the self-consistent relaxation theoryFor a simple model fluid, the Yukawa fluid, the condition for dynamic crossover, known as the Frenkel line, is defined. The condition is related to the fact that the roton minimum in the dispersion…Ilnaz I. Fairushin, Anatolii V. Mokshin·Sep 3, 2026SaveLearn
Sample-specific rectification-like response in a boundary-driven exclusion processWe investigate the current response of a boundary-driven symmetric exclusion process with quenched site disorder. Hard-core particles hop symmetrically on a one-dimensional lattice with…Issei Sakai, Takuma Akimoto·Sep 3, 2026SaveLearn
Optimal Control of Periodic Nonequilibrium Mechanochemical Systems via Automatic DifferentiationBiological molecular machines are mesoscopic systems that act repeatedly and periodically to perform important cellular tasks while contending with strong fluctuations and operating in an overdamped…W. Callum Wareham, David A. Sivak·Sep 2, 2026SaveLearn
Generative Nested Sampling of Atomistic Thermodynamic LandscapesNested sampling (NS) resolves the thermodynamics of an atomistic system from a single simulation, but its practical reach is limited by the Markov-chain updates needed to decorrelate walkers within…Alessandro Coretti, Nico Unglert, Sebastian Falkner et al.·Sep 2, 2026SaveLearn
Accelerating stochastic processes through nonequilibrium driving: Thermodynamic constraints on the maximum speed-upWe derive a new set of bounds controlling the speed-up of the survival rate of trajectory-dependent observables induced by the application of a perturbation. Via the study of survival probabilities…Davide Santolin, Gianmaria Falasco·Sep 2, 2026SaveLearn
Death by mutants: unusual multicritical dynamics in a two-species model for absorbing state transitionsWe explore the phases and active-to-absorbing state phase transitions (AAPT) in a two-species model, where the species A and its mutant B are asymmetrically or nonreciprocally coupled. We…Astik Haldar, Abhik Basu·Sep 2, 2026SaveLearn
Large deviations for linear regressionsLinear regression is one of the simplest and most widely used tools to learn patterns from data: it fits a set of coefficients so that a linear combination of predictors best matches observed…Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli et al.·Sep 2, 2026SaveLearn
Microscopically exact transport equation for the quantum Calogero modelWe derive an exact transport equation for the quantum Calogero model, i.e. inverse-square interacting bosons on a line, from microscopic first principles.Vir B. Bulchandani, Fabian H. L. Essler·Sep 2, 2026SaveLearn
Constituent-Tagged Transfer Linking Cluster Dynamics to Static ScalingClusters that merge and split have no unique genealogy. Tracking the host size of a conserved constituent defines q* by (St+τ/St)q*=1, with q*0. Across coupled map…Kenji Shinoda·Sep 2, 2026SaveLearn