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Entangled states are notoriously non-separable, their sub-ensembles being only statistical mixtures yielding no coherences and no quantum interference phenomena. The interesting features of entangled states can be revealed only by…

Quantum Physics · Physics 2017-03-30 Stefan Ataman

We extend the stationary-state work fluctuation theorem to periodically modulated nonlinear systems. Such systems often have coexisting stable periodic states. We show that work fluctuations sharply increase near a kinetic phase transition…

Statistical Mechanics · Physics 2009-11-13 M. I. Dykman

We present a general field-theoretic strategy to analyze three connected families of continuous phase transitions which occur in nonequilibrium steady-states. We focus on transitions taking place between an active state and one absorbing…

Statistical Mechanics · Physics 2007-05-23 F. van Wijland

We study the problem of phase separation in systems with a positive definite order parameter, and in particular, in systems with absorbing states. Owing to the presence of a single minimum in the free energy driving the relaxation kinetics,…

Condensed Matter · Physics 2009-10-31 M. A. Munoz , U. Marini Bettolo Marconi , R. Cafiero

Dynamical encircling exceptional point(EP) shows a number of intriguing physical phenomena and its potential applications. To enrich the manipulations of optical systems in experiment, here, we study the dynamical encircling EP, i.e. state…

Optics · Physics 2022-12-07 Dan Long , Xuan Mao , Guo-Qing Qin , Hao Zhang , Min Wang , Gui-Qin Li , Gui-Lu Long

Dense suspensions of self-propelled rod-like particles exhibit a fascinating variety of non-equilibrium phenomena. By means of computer simulations of a minimal model for rigid self-propelled colloidal rods with variable shape we explore…

Soft Condensed Matter · Physics 2015-06-04 H. H. Wensink , H. Löwen

A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical…

Soft Condensed Matter · Physics 2009-01-01 Jyotipratim Ray Chaudhuri , Suman Kumar Banik , Sudip Chattopadhyay , Pinaki Chaudhury

The time-dependent probability density function of a system evolving towards a stationary state exhibits an oscillatory behavior if the eigenvalues of the corresponding evolution operator are complex. The frequencies \omega_n, with which…

Statistical Mechanics · Physics 2012-06-22 R. Salgado-Garcia

The deterministic dynamics of randomly connected neural networks are studied, where a state of binary neurons evolves according to a discreet-time synchronous update rule. We give a theoretical support that the overlap of systems' states…

Statistical Mechanics · Physics 2015-03-10 Taro Toyoizumi , Haiping Huang

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

We consider topological supercurrent excitations (SC) in 1D mesoscopic rings. Under certain conditions such excitations are well-defined except for (i) a tunneling between resonating states with clockwise and anti-clockwise currents, which…

Condensed Matter · Physics 2016-08-31 V. A. Kashurnikov , A. I. Podlivaev , N. V. Prokof'ev , B. V. Svistunov

Classical escape in 2D Hamiltonian systems with the mixed state has been studied numerically and analytically. The wide class of potentials with the mixed state is presented by polinomial potentials. In potentials, where the mixed state…

Chaotic Dynamics · Physics 2009-05-16 Yu. L. Bolotin , V. A. Cherkaskiy , G. I. Ivashkevych

It is demonstrated that power-laws which are modified by logarithmic corrections arise in supercorrelated systems. Their characteristic feature is the energy attributed to a state (or value of a general cost function) which depends…

Statistical Mechanics · Physics 2009-11-10 H. -T. Elze , T. Kodama

An approach to analyse the properties of a particle system is to compare it with different processes to understand when one of them is larger than other ones. The main technique for that is coupling, which may not be easy to construct. We…

Probability · Mathematics 2011-02-22 Davide Borrello

Dynamical processes on complex networks, ranging from biological, technological and social systems, show phase transitions between distinct global states of the system. Often, such transitions rely upon the interplay between the structure…

Physics and Society · Physics 2023-02-22 Hillel Sanhedrai , Shlomo Havlin

We consider the ground-state entanglement in highly connected many-body systems, consisting of harmonic oscillators and spin-1/2 systems. Varying their degree of connectivity, we investigate the interplay between the enhancement of…

Quantum Physics · Physics 2009-11-13 Alessandro Ferraro , Artur Garcia-Saez , Antonio Acin

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

For a given unconstrained dynamical system, input redundancy has been recently redefined as the existence of distinct inputs producing identical output for the same initial state. By directly referring to signals, this definition readily…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Jean-François Trégouët , Jérémie Kreiss

We analyse a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyse two phenomena that are associated with these…

Statistical Mechanics · Physics 2015-11-18 Ian R. Thompson , Robert L. Jack

We examine the dynamical evolution of the state of a neurone, with particular care to the non-equilibrium nature of the forces influencing its movement in state space. We combine non-equilibrium statistical mechanics and dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-02-19 Dalton A R Sakthivadivel