Geometry protected probabilistic structure in many-body dynamicsInsomuch as statistical mechanics circumvents the formidable task of addressing many-body dynamics, it remains a challenge to derive macroscopic properties from a solution to Hamiltonian equations…Yue Liu, Chushun Tian, Dahai He·Dec 7, 2025SaveLearn
Convective Viscous Cahn-Hilliard/Allen-Cahn Equation with memory effectsThe combination of the well-known Cahn-Hilliard and Allen-Cahn equations is used to describe surface processes, such as simultaneous adsorption/desorption and surface diffusion. In the present paper…P. O. Mchedlov-Petrosyan, L. N. Davydov·Dec 6, 2025SaveLearn
Thermodynamic description of world GDP distribution over countriesWe apply the concept of Rayleigh-Jeans thermalization of classical fields for a description of the world Gross Domestic Product (GDP) distribution over countries. The thermalization appears due to a…Klaus M. Frahm, Dima L. Shepelyansky·Dec 6, 2025SaveLearn
The geometric control of boundary-catalytic branching processesBoundary-catalytic branching processes describe a broad class of natural phenomena where the population of diffusing particles grows due to their spontaneous binary branching (e.g., division, fission…Denis S. Grebenkov, Yilin Ye·Dec 5, 2025SaveLearn
Observation-Time-Induced Crossover from Fluctuating DiffusivityA sharp change in apparent mobility at a characteristic temperature that depends on the observation time has been reported in experiments and simulations of hydrated proteins. Such behavior is often…Masahiro Shirataki, Takuma Akimoto·Dec 5, 2025SaveLearn
Sticky eigenstates in systems with sharply divided phase spaceWe investigate mixed eigenstates in systems with sharply divided phase space, using different piecewise-linear maps whose regular-chaotic boundaries are formed by marginally unstable periodic orbits…Hua Yan·Dec 5, 2025SaveLearn
Comparison of some geometric frameworks for dissipative evolution in multiscale non-equilibrium thermodynamicsIn this paper, we review and compare some geometric frameworks for dissipation in non-equilibrium thermodynamics. We start with a brief overview of classical irreversible thermodynamics and gradient…Miroslav Grmela, Michal Pavelka·Dec 4, 2025SaveLearn
Balancing information and dissipation with partially observed fluctuating signalsBiological systems sense and extract information from fluctuating signals while operating under energetic constraints and limited resolution. We introduce a general chemical model in which a sensor,…Giorgio Nicoletti, Ivan Di Terlizzi, Daniel Maria Busiello·Dec 4, 2025SaveLearn
On Sak's criterion for statistical models with long-range interactionDetermining the threshold value σ* that separates the short-range (SR) and long-range (LR) universality classes in phase transitions remains a controversial issue. While Sak's criterion, $σ*…Tianning Xiao, Ziyu Liu, Zhijie Fan et al.·Dec 4, 2025SaveLearn
Smeared phase transition in the dissipative random quantum Ashkin-Teller modelWe study the effects of dissipation in the phase diagram of the random quantum Ashkin-Teller model by means of a generalization of the strong-disorder renormalization group combined with adiabatic…Pedro S. Farinas, Rajesh Narayanan, José A. Hoyos·Dec 4, 2025SaveLearn
Degrees of universality in wave turbulenceTurbulence of weakly interacting waves displays a great deal of universality: independence of the details of the interaction and of the pumping and dissipation scales. Here we study how inverse…Jiasheng Liu, Vladimir Rosenhaus, Gregory Falkovich·Dec 4, 2025SaveLearn
Persson's Theory of Purely Normal Elastic Rough Surface Contact: A Tutorial Based on Stochastic Process TheoryPersson's theory of purely normal rough surface contact was developed two decades ago during the study of tire-road interaction, and gradually became one of the dominant approaches to study the…Yang Xu, Xiaobao Li, Qi Chen et al.·Dec 4, 2025SaveLearn
From informal markets to Limit Order Book dynamics: a mean field connectionWe propose a unified mean-field framework that bridges the dynamics of informal financial markets and formal markets governed by Limit Order Books (LOBs). Both settings are modeled as interacting…Alvaro Navarro-Rubio, Alejandro Lage-Castellanos·Dec 4, 2025SaveLearn
Tensor Renormalization Group Calculations of Partition-Function RatiosThe behavior of dimensionless quantities defined as ratios of partition functions is analyzed to investigate phase transitions and critical phenomena. At criticality, the universal values of these…Satoshi Morita, Naoki Kawashima·Dec 3, 2025SaveLearn
Symmetry Breaking of Current Response in Disordered Exclusion ProcessesThe bias-reversal symmetry -- where reversing an external bias inverts the current without changing its magnitude -- is a hallmark of nonequilibrium transport. While this property holds in…Issei Sakai, Takuma Akimoto·Dec 3, 2025SaveLearn
Phase Transitions without gap closing in monitored quantum mean-field systemsWe investigate the monitored dynamics of many-body quantum systems in which projective measurements of extensive operators are alternated with unitary evolution. Focusing on mean-field models…Luca Capizzi, Riccardo Travaglino·Dec 3, 2025SaveLearn
Collective dynamics of trail-interacting particlesTrail interactions occur when past particle trajectories bias future motion, rendering the system out of thermodynamic equilibrium. While such systems are abundant in nature, their understanding is…Paul Pineau, Samuel Bell, Raphaël Voituriez et al.·Dec 3, 2025SaveLearn
Classification of diffusion processes in dimension d via the Carleman approach with applications to models involving additive, multiplicative or square-root noisesThe Carleman approach is well-known in the field of deterministic classical dynamics as a method to replace a finite number d of non-linear differential equations by an infinite-dimensional linear…Cecile Monthus·Dec 3, 2025SaveLearn
Universality Diagram of Phase Transitions in Long-range Statistical SystemsThe percolation, Ising, and O(n) models constitute fundamental systems in statistical and condensed matter physics. For short-range-interacting cases, the nature of their phase transitions is well…Tianning Xiao, Zhijie Fan, Youjin Deng·Dec 2, 2025SaveLearn
Phase diagram of the one-dimensional three-state Potts model with an additional mean-field interactionWe derive the phase diagram of the one-dimensional three-state Potts model with an additional mean-field interaction in the canonical ensemble. The free energy is obtained by mapping the model onto…Alessandro Campa, Vahan Hovhannisyan, Stefano Ruffo et al.·Dec 2, 2025SaveLearn
Entanglement evolution from entangled multipodal statesIn a periodic lattice system an entangled antipodal pair state, otherwise known as a crosscap state, is a simple two site product state in which spins at antipodal sites are prepared in Bell pairs.…Konstantinos Chalas, Pasquale Calabrese, Colin Rylands·Dec 2, 2025SaveLearn
Detection of Mpemba effect through good observables in open quantum systemsThe Mpemba effect refers to the anomalous relaxation of a quantum state that, despite being initially farther from equilibrium, relaxes faster than a closer counterpart. Detecting such a quantum…Pitambar Bagui, Arijit Chatterjee, Bijay Kumar Agarwalla·Dec 2, 2025SaveLearn
Mean First Passage Time of the Symmetric Noisy Voter Model with Arbitrary Initial and Boundary ConditionsModels of imitation and herding behavior often underestimate the role of individualistic actions and assume symmetric boundary conditions. However, real-world systems (e.g., electoral processes)…Rytis Kazakevičius, Aleksejus Kononovicius·Dec 2, 2025SaveLearn
High-Precision Simulations of the Parity Conserving Directed Percolation Universality Class in 1+1 DimensionsNext to the directed percolation (DP) universality class, parity conserving directed percolation (pcDP; also called parity conserving branching annihilating random walks, pcBARW) is the second-most…Peter Grassberger·Dec 1, 2025SaveLearn
The stochastic discrete nonlinear Schrödinger equation: microscopic derivation and finite-temperature phase transitionWe study a stochastic version of the one-dimensional discrete nonlinear Schrödinger equation (DNSE), which is derived from first principles, and thus possesses all the properties required by…Mahdieh Ebrahimi, Barbara Drossel, Wolfram Just·Dec 1, 2025SaveLearn