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Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

Biomolecules · Quantitative Biology 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

The phase ordering dynamics of coupled chaotic bistable maps on lattices with defects is investigated. The statistical properties of the system are characterized by means of the average normalized size of spatial domains of equivalent spin…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Echeverria , K. Tucci , M. G. Cosenza

We study the distinction and quantification of chaotic and regular motion in a time-dependent Hamiltonian barred galaxy model. Recently, a strong correlation was found between the strength of the bar and the presence of chaotic motion in…

Chaotic Dynamics · Physics 2015-03-20 T. Manos , T. Bountis , Ch. Skokos

The breaking of detailed balance, the symmetry between forward and backward probability transition between two states, is crucial to understand irreversible systems. In hydrodynamic turbulence, a far-from equilibrium system, we observe a…

The kinematical characteristics of fragments and light particles observed in central highly fragmented nuclear collisions at intermediate energies are compared with the results of a model assuming that the initial momentum distribution of…

Nuclear Experiment · Physics 2007-05-23 A. Van Lauwe , D. Durand et al

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

Quantum Physics · Physics 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

Physical systems with co-existence and interplay of processes featuring distinct spatio-temporal scales are found in various research areas ranging from studies of brain activity to astrophysics. Complexity of such systems makes their…

In the human brain, internal states are often correlated over time (due to local recurrence and other intrinsic circuit properties), punctuated by abrupt transitions. At first glance, temporal smoothness of internal states presents a…

Machine Learning · Computer Science 2023-05-24 Shima Rahimi Moghaddam , Fanjun Bu , Christopher J. Honey

Two-time correlations are a crucial tool to probe the dynamics of many-body systems. We use these correlation functions to study the dynamics of dissipative quantum systems. Extending the adiabatic elimination method, we show that the…

Quantum Gases · Physics 2015-06-11 Bruno Sciolla , Dario Poletti , Corinna Kollath

We calculate the conductance of atomic chains as a function of their length. Using the Density Matrix Renormalization Group algorithm for a many-body model which takes into account electron-electron interactions and the shape of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rafael A. Molina , Dietmar Weinmann , Jean-Louis Pichard

A system plus environment conservative model is used to characterize the nonlinear dynamics when the time averaged energy for the system particle starts to decay. The system particle dynamics is regular for low values of the $N$ environment…

Chaotic Dynamics · Physics 2009-10-20 Cesar Manchein , Jane Rosa , Marcus W. Beims

We investigate the effect of short-range correlations on the dynamical phase diagram of quantum many-body systems with long-range interactions. Focusing on Ising spin chains with power-law decaying interactions and accounting for…

Statistical Mechanics · Physics 2019-11-13 Giulia Piccitto , Bojan Žunkovič , Alessandro Silva

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

Precise understanding of the dynamics of trapped particles is crucial for nascent quantum technologies, including atomic clocks and quantum simulators. Here we present a framework to systematically include quantum effects arising from the…

Quantum Physics · Physics 2019-06-11 Rebecca Haustein , Gerard J. Milburn , Magdalena Zych

The idea that chaos could be a useful tool for analyze nonlinear systems considered in this paper and for the first time the two time scale property of singularly perturbed systems is analyzed on chaotic attractor. The general idea…

Chaotic Dynamics · Physics 2012-05-18 Mozhgan Mombeini , Ali Khaki Sedigh , Mohammad Ali Nekoui

Machine-learning of atomic-scale properties amounts to extracting correlations between structure, composition and the quantity that one wants to predict. Representing the input structure in a way that best reflects such correlations makes…

Chemical Physics · Physics 2021-02-02 Michael J. Willatt , Félix Musil , Michele Ceriotti

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

It was recently suggested that the error with respect to experimental data in nuclear mass calculations is due to the presence of chaotic motion. The theory was tested by analyzing the typical error size. A more sensitive quantity, the…

Nuclear Theory · Physics 2009-11-11 H. Olofsson , S. Aberg , O. Bohigas , P. Leboeuf

We study chemical oscillators in the presence of phase separation. By imposing timescale separation between slow reactions and fast diffusion, we define a dynamics at phase equilibrium for the relevant degrees of freedom. We demonstrate…

Soft Condensed Matter · Physics 2025-07-23 Jonathan Bauermann , Giacomo Bartolucci , Artemy Kolchinsky

We study velocity correlations induced by diffusion and dissipation in a simple dissipative dynamical system. We observe that diffusion, as a result of time reversible microscopic processes, leads to correlations with different spatial…

Statistical Mechanics · Physics 2009-11-07 Tong Zhou