Sandpile Models on complex networksWe investigate the sandpile model on complex networks by developing a branching-process framework that explicitly incorporates dissipation during avalanche propagation. Unlike classical branching…Komlan Fiagbe, Jean-François de Kemmeter, Timoteo Carletti·Jul 2, 2026SaveLearn
Geometric Formulation of Power-Efficiency Bounds in Carnot-like EnginesWe formulate the power-efficiency constraint of Carnot-like heat engines as a geometric optimization problem in the plane of normalized branch dissipations. In this plane, efficiency contours are…R. X. Zhai·Jul 2, 2026SaveLearn
Lattice Gauge Theory and Wilson-Loop Confinement: A Statistical-Mechanical SurveyWilson loops provide the central gauge-invariant probe of confinement in lattice gauge theory. This survey reviews the statistical-mechanical formulation of lattice gauge ensembles, the…Ethan Zhou, Marcus Reed, Caleb Hayes·Jul 2, 2026SaveLearn
Exact Stationary State of a d-dimensional Run-and-Tumble Particle in a Harmonic PotentialWe derive the exact nonequilibrium steady state of a run-and-tumble particle (RTP) in d dimensions confined in an isotropic harmonic trap V( r)=μr2/2, with r=\| r\|. Rotational…Mathis Guéneau, Satya N. Majumdar, Grégory Schehr·Jul 2, 2026SaveLearn
Transport Regimes in Random Walks in Random EnvironmentsRandom walks in random environments (RWRE) model transport in quenched disorder, incorporating spatial heterogeneity, trapping, random drift, and random geometry. This paper summarizes discrete and…Hazel Brookfield, Wei Zhou, Ian Weatherby·Jul 2, 2026SaveLearn
Cellular Automata: From Structural Principles to Transport and Correlation MethodsCellular automata (CA) are discrete-time dynamical systems with local update rules on a lattice. Despite their elementary definition, CA support a wide spectrum of macroscopic phenomena central to…Mihir Metkar, Neha Sah, Yichen Zhou·Jul 2, 2026SaveLearn
Survey on Lattice Gas Models on 2D Lattices: Critical Behavior of Closed TrajectoriesLorentz lattice gases (LLGs) are discrete-time transport models in which a point particle moves ballistically between lattice sites and is scattered by randomly placed, quenched local scatterers such…Tianyi Zhou·Jul 2, 2026SaveLearn
Large-n O(n) with long-range interactions: integrability and resonance dynamicsWe study the large-n dynamics of the long-range quantum O(n) model, focusing on the strong long-range regime α<d. The dynamics of the model exhibits non-trivial features on mesoscopic…Guido Giachetti, Nicolo Defenu·Jul 2, 2026SaveLearn
Theory of the β-Relaxation Beyond Mode-Coupling Theory: A Microscopic TreatmentWe develop a systematic extension of mode-coupling theory (MCT) that incorporates critical dynamical fluctuations. Starting from a microscopic diagrammatic theory, we identify dominant classes of…Corentin C. L. Laudicina, Liesbeth M. C. Janssen, Grzegorz Szamel·Jul 2, 2026SaveLearn
Free energy dissipation and a decomposition of general jump diffusions on Rn without detailed balanceWe analyze the thermodynamic structure of jump diffusions combining Brownian and Poisson noise, a class of stochastic dynamics relevant to non-equilibrium statistical physics. For such nonlocal…Shuyuan Fan, Qi Zhang·Jul 2, 2026SaveLearn
Elusive phase transition in the replica limit of monitored systemsWe study an exactly solvable model of monitored dynamics in a system of N spin-1/2 particles with pairwise all-to-all noisy interactions, where each spin is continuously weakly measured along a…Guido Giachetti, Andrea De Luca·Jul 2, 2026SaveLearn
A Fuzzy Sphere Journey in Critical PhenomenaThis review discusses the recently proposed fuzzy sphere regularization for studying 2+1D critical phenomena, particularly three-dimensional (3D) conformal field theory (CFT). The fuzzy sphere…Yin-Chen He, W. Zhu·Jul 1, 2026SaveLearn
Brownian ratchets and pumps universally simulate many-body active dynamicsActive systems can exhibit a broad range of phenomena forbidden in equilibrium. Their dynamics are often specified by abstract local update rules, and it is generally unclear when the same behavior…Charles Stahl, Ethan Lake, Vedika Khemani·Jul 1, 2026SaveLearn
Universal Short-Imaginary-Time Quantum Critical Dynamics Near BoundariesWhile imaginary-time evolution has long served as a standard paradigm for ground-state preparation in numerical simulations and quantum devices, its intrinsic dynamical properties has been largely…Yu-Rong Shu, Yuan-Biao Li, Shuai Yin·Jul 1, 2026SaveLearn
Phase diagram of a double-occupancy cell model of a fluid with Curie-Weiss interactionA double-occupancy cell model of a fluid with Curie-Weiss interaction is studied. First, we show that the model is isomorphic to the Blume-Capel model on a complete graph through a simple…R. V. Romanik, O. A. Dobush, M. P. Kozlovskii et al.·Jul 1, 2026SaveLearn
Power-Law Relaxation of Non-Gaussian Parameter and Self-Dynamic Structure Factor in Multidimensional Rugged Energy LandscapesRuggedness of the underlying energy landscape gives rise to heterogeneous mobility and non-Gaussian diffusion. We develop a theoretical framework for tagged-particle diffusion in multidimensional…Bimman Bagchi·Jul 1, 2026SaveLearn
Single-cell-level distributions and relationships can differentiate cell-division and growth modelsComplex interactions among regulatory molecules determine the rules underlying cell growth and division in microbial cells. While the governing molecular network may not always be obvious, it is well…Vikas, Rahul Marathe, Anjan Roy·Jul 1, 2026SaveLearn
Slow heat-driven flow in a gas of hard disksWe study a slow heat-driven flow in a gas of elastically colliding hard disks confined to a long channel. The initial state consists of two regions with large temperature and density contrasts but…Amit Kumar, Abhishek Dhar, Baruch Meerson·Jul 1, 2026SaveLearn
Non-Maxwellian Velocity Statistics in Supercooled Liquids and Their Possible Relation to Super-Arrhenius ViscosityFor particles of fixed mass, classical equilibrium statistical mechanics dictates a Maxwellian velocity distribution determined solely by the temperature, regardless of the interactions, density, or…Giorgi Tsereteli, Zohar Nussinov·Jul 1, 2026SaveLearn
Oscillatory-nonnormal decomposition of dissipation in Ornstein-Uhlenbeck processesWe provide a decomposition of the steady-state entropy production rate associated with an Ornstein-Uhlenbeck process into two contributions: one associated with oscillatory behavior and one…Ryuna Nagayama, Artemy Kolchinsky, Sosuke Ito·Jul 1, 2026SaveLearn
On the electrical double layer capacitance of the restricted primitive model: a link between the mesoscopic theory and the associative mean spherical approximationThe results for the electrical double layer capacitance and the density of ``free ions'' obtained from the mesoscopic theory are compared with the corresponding results of the associative…O. Patsahan·Jul 1, 2026SaveLearn
Subsampling of avalanches in the fiber bundle models of fractureWe study the subsampling of the avalanches in the fiber bundle model of fracture. In cases where only a part of the system is observed for the micro-failure events, the recorded avalanche statistics…Narendra Kumar Bodaballa, Soumyajyoti Biswas·Jul 1, 2026SaveLearn
Violation of the method of images in non-Markovian processes and its connection to stochastic heatThis article discusses a failure of the widely used method of images to describe the time evolution of probability distributions in diffusive processes with memory. A walker in one-dimensional space…Takuya Saito, Yuta Sakamoto, Takahiro Sakaue·Jul 1, 2026SaveLearn
Refinements of the Eigenstate Thermalization Hypothesis under Local Rotational Invariance via Free ProbabilityThe Eigenstate Thermalization Hypothesis (ETH) was developed as a framework for understanding how the principles of statistical mechanics emerge in the long-time limit of isolated quantum many-body…Elisa Vallini, Laura Foini, Silvia Pappalardi·Jul 1, 2026SaveLearn
A new Fractal Mean-Field analysis in phase transitionUnderstanding phase transitions requires not only identifying order parameters but also characterizing how their correlations behave across scales. By quantifying how fluctuations at distinct spatial…Ismael S. S. Carrasco, Henrique A. de Lima, Fernando A. Oliveira·Jul 1, 2026SaveLearn