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We give a nontechnical description of the behaviour of dynamical systems governed by two distinct time scales. We discuss in particular memory effects, such as bifurcation delay and hysteresis, and comment the scaling behaviour of…

chao-dyn · Physics 2007-05-23 Nils Berglund

We propose to describe the dynamics of phase transitions in terms of a non-stationary Generalized Langevin Equation for the order parameter. By construction, this equation is non-local in time, i.e.~it involves memory effects whose…

Statistical Mechanics · Physics 2021-02-10 Hugues Meyer , Fabian Glatzel , Wilkin Wöhler , Tanja SChilling

Non-equilibrium systems have long-ranged spatial correlations even far away from critical points. This implies that the likelihoods of spatial steady state profiles of physical observables are nonlocal functionals. In this letter, it is…

Statistical Mechanics · Physics 2015-05-14 Otto Pulkkinen

Residual stresses may appear in elastic bodies due to the formation of misfits in the micro-structure, driven by plastic deformations, thermal or growth processes. They are especially widespread in living matter, resulting from the dynamic…

Soft Condensed Matter · Physics 2022-12-07 Davide Riccobelli , Pasquale Ciarletta

Stress transmission inside three dimensional granular packings is investigated using computer simulations. Localized force perturbation techniques are implemented for frictionless and frictional shallow, ordered, granular arrays confined by…

Soft Condensed Matter · Physics 2015-05-30 Abdullah Cakir , Leonardo E. Silbert

This paper proposes a phase space to compare the static packings of a granular system compatible to a macrostate that is set by the external stress. The nature of this phase space is analyzed, showing that the consideration of the allowed…

Soft Condensed Matter · Physics 2019-02-20 Ignacio G. Tejada

We first present open questions related to the foundations of thermodynamics and statistical physics. We then argue that in principle one can not have "closed systems", and that a universal background should exist. We propose that the…

Condensed Matter · Physics 2009-10-31 Eshel Ben-Jacob , Ziv Hermon , Alexsander Shnirman

In this short contribution we introduce a new procedure to recover the stress and strain fields for particle systems by mechanical models. Numerical tests for simple loading conditions have shown an excellent match between the estimated…

Computational Engineering, Finance, and Science · Computer Science 2021-04-21 Wenzhe Shan , Udo Nackenhorst

This paper examines common assumptions regarding the decision-making internal environment for intelligent agents and investigates issues related to processing of memory and belief states to help obtain better understanding of the responses.…

Artificial Intelligence · Computer Science 2018-04-10 Subhash Kak

We study the phenomenon of system size stochastic resonance within the nonequilibrium potential's framework. We analyze three different cases of spatially extended systems, exploiting the knowledge of their nonequilibrium potential, showing…

Statistical Mechanics · Physics 2009-11-11 B. von Haeften , G. Izus , H. S. Wio

This work proposes a general framework for capturing noise-driven transitions in spatially extended non-equilibrium systems and explains the emergence of coherent patterns beyond the instability onset. The framework relies on stochastic…

Dynamical Systems · Mathematics 2024-12-16 Mickaël D. Chekroun , Honghu Liu , James C. McWilliams

A large class of linear memory differential equations in one dimension, where the evolution depends on the whole history, can be equivalently described as a projection of a Markov process living in a higher dimensional space. Starting with…

Classical Analysis and ODEs · Mathematics 2018-04-09 Artur Stephan , Holger Stephan

A sudden change in the macroscopic parameters of a system will cause it to depart from equilibrium. In this paper we study how a lack of change can also inform of such a departure, and allow for work extraction. Potential events that are…

Statistical Mechanics · Physics 2022-02-03 Sushrut Ghonge , Dervis Can Vural

We report the first measurements of the intrinsic strain fluctuations of living cells using a recently-developed tracer correlation technique along with a theoretical framework for interpreting such data in heterogeneous media with…

Soft Condensed Matter · Physics 2009-11-10 A. W. C. Lau , B. D. Hoffman , A. Davies , J. C. Crocker , T. C. Lubensky

These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibrium phenomena. They show how these methods allow…

Statistical Mechanics · Physics 2009-11-13 B. Derrida

Here we present our Python toolbox "MR. Estimator" to reliably estimate the intrinsic timescale from electrophysiologal recordings of heavily subsampled systems. Originally intended for the analysis of time series from neuronal spiking…

Neurons and Cognition · Quantitative Biology 2021-05-11 F. P. Spitzner , J. Dehning , J. Wilting , A. Hagemann , J. P. Neto , J. Zierenberg , V. Priesemann

Fatigue and aging of materials are, in large part, determined by the evolution of the atomic-scale structure in response to strains and perturbations. This coupling between microscopic structure and long time scales remains one of the main…

Information dynamics is an emerging description of information processing in complex systems which describes systems in terms of intrinsic computation, identifying computational primitives of information storage and transfer. In this paper…

Statistical Mechanics · Physics 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko

A general formalism is developed to construct a Markov chain model that converges to a one-dimensional map in the infinite population limit. Stochastic fluctuations are therefore internal to the system and not externally specified. For…

Statistical Mechanics · Physics 2014-09-15 Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

The Multiscale Law of Requisite Variety is a scientific law relating, at each scale, the variation in an environment to the variation in internal state that is necessary for effective response by a system. While this law has been used to…

Physics and Society · Physics 2018-12-04 Taeer Bar-Yam , Owen Lynch , Yaneer Bar-Yam
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