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We study the noisy dynamics of a close relative of the sand pile model. Depending on the type of noise and the time scale of observation, we find stationary fluctuations (similar to SOC) or an aging dynamics with punctuated equilibria, a…

Statistical Mechanics · Physics 2007-05-23 Paolo Sibani , Christian Maar Andersen

In animal groups, individual decisions are best characterised by probabilistic rules. Furthermore, animals of many species live in small groups. Probabilistic interactions among small numbers of individuals lead to a so called intrinsic…

Populations and Evolution · Quantitative Biology 2020-04-23 Jitesh Jhawar , Vishwesha Guttal

Reversible Probabilistic Cellular Automata are a special class of automata whose stationary behavior is described by Gibbs-like measures. For those models the dynamics can be trapped for a very long time in states which are very different…

Mathematical Physics · Physics 2016-03-30 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

Stacy distribution defined for the first time in 1961 provides a flexible framework for modelling of a wide range of real-life behaviours. It appears under different names in the scientific literature and contains many useful particular…

Probability · Mathematics 2023-03-21 Pavlina K. Jordanova , Mladen Savov , Assen Tchorbadjieff , Milan Stehlík

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

Statistical Mechanics · Physics 2022-06-30 Cillian Cockrell , Ian J Ford

Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

Statistical Mechanics · Physics 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

Nature suggests that exploiting the elasticities and natural dynamics of robotic systems could increase their locomotion efficiency. Prior work on elastic snake robots supports this hypothesis, but has not fully exploited the nonlinear…

Robotics · Computer Science 2026-05-14 Tristan Ehlert , Arne Sachtler , Annika Schmidt , Davide Calzolari , Alin Albu-Schäffer

This work analyzes fractional continuous-time random walks on two-layer multiplexes. A node-centric dynamics is used, in which it is assumed a Poisson distribution of a walker to become active, while a jump to one of its neighbors depends…

Physics and Society · Physics 2020-01-29 Alfonso Allen-Perkins , Roberto F. S. Andrade

We study a binary Lennard-Jones system below the glass transition with molecular dynamics simulations. To investigate the dynamics we focus on events ("jumps") where a particle escapes the cage formed by its neighbors. Using single particle…

Statistical Mechanics · Physics 2009-11-10 K. Vollmayr-Lee

We analyse the Langevin dynamics of the random walk, the scalar field, the X-Y model and the spinoidal decomposition. We study the deviations from the equilibrium dynamics theorems (FDT and homogeneity), the asymptotic behaviour of the…

Condensed Matter · Physics 2009-10-22 L. F. Cugliandolo , J. Kurchan , G. Parisi

Foraging is a widespread behavior, and being part of a group may bring several benefits compared to solitary foraging, such as collective pooling of information and reducing environmental uncertainty. Often theoretical models of collective…

Biological Physics · Physics 2024-12-05 Lisa Blum Moyse , Ahmed El Hady

The dynamics of dislocations is reported to exhibit glassy properties. We study numerically various versions of 2d edge dislocation systems in the absence of externally applied stress. Two types of glassy behavior are identified: (i)…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Bako , I. Groma , G. Gyorgyi , G. T. Zimanyi

Time evolution in several classes of quantum devices is generated through the application of quantum gates. Resetting is a critical technological feature in these systems allowing for mid-circuit measurement and complete or partial qubit…

Quantum Physics · Physics 2025-05-14 Sascha Wald , Louie Hong Yao , Thierry Platini , Chris Hooley , Federico Carollo

The transition between low and high density phases is a typical feature of systems with social interactions. This contribution focuses on simple evacuation design of one room with one entrance and one exit; four passing-through experiments…

Multiagent Systems · Computer Science 2016-01-27 Marek Bukáček , Pavel Hrabák , Milan Krbálek

Locomotion emerges from effective interactions of an individual with its environment. Principles of biological terrestrial locomotion have been discovered on unconfined vertical and horizontal substrates. However a diversity of organisms…

Biological Physics · Physics 2013-05-28 Nick Gravish , Daria Monaenkova , Michael A. D. Goodisman , Daniel I. Goldman

We present a new method to describe the kinetics of driven lattice gases with particle-particle interactions beyond hard-core exclusions. The method is based on the time-dependent density functional theory for lattice systems and allows one…

Statistical Mechanics · Physics 2015-05-20 Marcel Dierl , Philipp Maass , Mario Einax

We compute statistical properties of the stochastic entropy production associated with the nonstationary transport of heat through a system coupled to a time dependent nonisothermal heat bath. We study the 1-d stochastic evolution of a…

Statistical Mechanics · Physics 2015-10-14 Ian J. Ford , Zachary P. L. Laker , Henry J. Charlesworth

Motivated by the challenge of analyzing the dynamics of weekly sea border crossings in the Mediterranean (2015-2025) and the English Channel (2018-2025), we develop a Bayesian dynamic framework for modeling heteroskedastic count time…

Applications · Statistics 2026-03-23 Gregor Zens , Jakub Bijak

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

Physics and Society · Physics 2015-05-14 Dirk Helbing , Anders Johansson

The non-equilibrium dynamics of a gas of cold atoms in which Rydberg states are off-resonantly excited is studied in the presence of noise. The interplay between interaction and off-resonant excitation leads to an initial dynamics where…

Quantum Gases · Physics 2014-07-23 Igor Lesanovsky , Juan P. Garrahan