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Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincare' recurrences, with numerical experiments over finite times showing system-dependent power-law exponents. We conjecture the…

Chaotic Dynamics · Physics 2008-10-06 Giampaolo Cristadoro , Roland Ketzmerick

The critical behavior of driven lattice gas models has been studied for decades as a paradigm to explore nonequilibrium phase transitions and critical phenomena. However, there exists a long-standing controversy in the universality classes…

Statistical Mechanics · Physics 2019-09-04 Yahui Li , Zhongda Zeng , Fan Zhong

Cell motility is fundamental to many biological processes, and cells exhibit a variety of migration patterns. Many motile cell types follow a universal law that connects their speed and persistency, a property that can originate from the…

Understanding the non-equilibrium dynamics of quantum many-body systems remains one of the grand challenges of modern physics. In particular, increasing attention has been devoted to the emergence of non-equilibrium universality classes…

Quantum Physics · Physics 2025-12-22 Wenbo Zhou , Yuke Zhang , Pengfei Zhang

In order to investigate the rheological properties of viscoelastic fluids by mesoscopic hydrodynamics methods, we develop a multi-particle collision dynamics (MPC) model for a fluid of harmonic dumbbells. The algorithm consists of…

Soft Condensed Matter · Physics 2008-11-05 Yu-Guo Tao , Ingo O. Goetze , Gerhard Gompper

We identify universal properties of the low-energy subspace of a wide class of quantum optical models in the ultrastrong coupling limit, where the coupling strength dominates over all other energy scales in the system. We show that the…

Quantum Physics · Physics 2020-02-05 Simone Felicetti , Alexandre Le Boité

Rapid development of universal machine learning potentials (uMLPs) and expansion of training data sets are reshaping the state of the art in atomistic simulation, highlighting the need for concurrent systematic benchmarking of their…

Materials Science · Physics 2026-03-02 Edan T. Marcial , Laxman Chaudhary , Olesya Gorbunova , Aleksey N. Kolmogorov

We investigate two distinct universality classes for probe particles that move stochastically in a one-dimensional driven system. If the random force that drives the probe particles is fully generated by the current fluctuations of the…

Statistical Mechanics · Physics 2007-05-23 A. Rákos , E. Levine , D. Mukamel , G. M. Schütz

We reveal universal dynamical scaling behavior across adiabatic quantum phase transitions (QPTs) in networks ranging from traditional spatial systems (Ising model) to fully connected ones (Dicke and Lipkin-Meshkov-Glick models). Our…

Quantum Physics · Physics 2015-06-18 O. L. Acevedo , L. Quiroga , F. J. Rodríguez , N. F. Johnson

We study universal features of defect correlation functions in supersymmetric defect CFTs, focusing on four-point functions of the displacement supermultiplet. By perturbing the leading-order correlators at strong coupling, we derive…

High Energy Physics - Theory · Physics 2026-03-13 Riccardo Giordana Pozzi

The generating functions for the gauge theory observables are often represented in terms of the unitary matrix integrals. In this work, the perturbative and non-perturbative aspects of the generic multi-critical unitary matrix models are…

High Energy Physics - Theory · Physics 2021-09-28 Taro Kimura , Ali Zahabi

Turbulent flows, ubiquitous in nature and engineering, comprise fluctuations over a wide range of spatial and temporal scales. While flows with fluctuations in thermodynamic variables are much more common, much less is known about these…

Fluid Dynamics · Physics 2020-09-02 Diego A. Donzis , John Panickacheril John

Using renormalized field theory, we examine the dynamics of a growing surface, driven by an obliquely incident particle beam. Its projection on the reference (substrate) plane selects a ``parallel'' direction, so that the evolution equation…

Statistical Mechanics · Physics 2009-11-11 B. Schmittmann , Gunnar Pruessner , H. K. Janssen

We demonstrate when and how an entire left-infinite orbit of an underlying dynamical system or observations from such left-infinite orbits can be uniquely represented by a pair of elements in a different space, a phenomenon which we call…

Dynamical Systems · Mathematics 2023-04-05 G Manjunath , A de Clercq , MJ Steynberg

We perform large-scale computer simulations of an off-lattice two-dimensional model of active particles undergoing a motility-induced phase separation (MIPS) to investigate the systems critical behaviour close to the critical point of the…

Statistical Mechanics · Physics 2022-10-21 Claudio Maggi , Matteo Paoluzzi , Andrea Crisanti , Emanuela Zaccarelli , Nicoletta Gnan

This work is designed to overview our present knowledge about universality classes occurring in nonequilibrium systems defined on regular lattices. In the first section I summarize the most important critical exponents, relations and the…

Statistical Mechanics · Physics 2016-08-31 Geza Odor

Kinetically constrained models (KCM) are reversible interacting particle systems on $\mathbb Z^d$ with continuous time Markov dynamics of Glauber type, which represent a natural stochastic (and non-monotone) counterpart of the family of…

Probability · Mathematics 2018-11-14 Fabio Martinelli , Robert Morris , Cristina Toninelli

We introduce a new universal framework describing fluctuations and correlations in quantum and classical many-body systems, at the Euler hydrodynamic scale of space and time. The framework adapts the ideas of the conventional macroscopic…

Statistical Mechanics · Physics 2023-10-04 Benjamin Doyon , Gabriele Perfetto , Tomohiro Sasamoto , Takato Yoshimura

Although scaling phenomena have long been documented in crystalline plasticity, the universality class has been difficult to identify due to the rarity of avalanche events, which require large system sizes and long times in order to…

Materials Science · Physics 2013-08-29 Georgios Tsekenis , Jonathan T. Uhl , Nigel Goldenfeld , Karin A. Dahmen

We study special linear systems of surfaces of $\mathbb{P}^3$ interpolating nine points in general position having a quadric as fixed component. By performing degenerations in the blown-up space, we interpret the quadric obstruction in…

Algebraic Geometry · Mathematics 2015-10-01 Maria Chiara Brambilla , Olivia Dumitrescu , Elisa Postinghel