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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

A one-dimensional driven diffusive system with two types of particles and nearest neighbors interactions has been considered on a finite lattice with open boundaries. The particles can enter and leave the system from both ends of the…

Statistical Mechanics · Physics 2009-11-11 Farhad H. Jafarpour

We investigate far from equilibrium energy transport in strongly coupled quantum critical systems. Combining results from gauge-gravity duality, relativistic hydrodynamics, and quantum field theory, we argue that long-time energy transport…

High Energy Physics - Theory · Physics 2015-06-03 M. J. Bhaseen , Benjamin Doyon , Andrew Lucas , Koenraad Schalm

The Brownian motion of a test particle interacting with a quantum scalar field in the presence of a perfectly reflecting boundary is studied in (1 + 1)-dimensional flat spacetime. Particularly, the expressions for dispersions in velocity…

Quantum Physics · Physics 2014-09-02 V. A. De Lorenci , E. S. Moreira , M. M. Silva

We study the evolution of the energy (mode-power) distribution for a class of randomly perturbed Hamiltonian partial differential equations and derive {\it master equations} for the dynamics of the expected power in the discrete modes. In…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 E. Kirr , M. I. Weinstein

I review the quantum theory of the electron moving in a random environment. First, the quantum mechanics of individual particles scattered on a random potential is discussed. The quantum-mechanical description is extended to many-body…

Disordered Systems and Neural Networks · Physics 2021-09-13 Václav Janiš

We study a class of nonlocal, energy-driven dynamical models that govern the motion of closed, embedded curves from both an energetic and dynamical perspective. Our energetic results provide a variety of ways to understand physically…

Analysis of PDEs · Mathematics 2017-11-29 James H. von Brecht , Ryan Blair

We formulate a kinetic theory of quantum information scrambling in the context of a paradigmatic model of interacting electrons in the vicinity of a superconducting phase transition. We carefully derive a set of coupled partial differential…

Statistical Mechanics · Physics 2023-12-05 Camille Aron , Eric Brunet , Aditi Mitra

I study several aspects of the path(st) integral we formulated in previous papers on energetic causal sets with Cortes and others. The focus here is on quantum field theories, including the standard model of particle physics. I show that…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Lee Smolin

A complete theory for the complex interaction between solar energetic particles and the turbulent interplanetary magnetic field remains elusive. In this work we aim to contribute towards such a theory by modelling the propagation of solar…

Space Physics · Physics 2019-02-27 R. D. Strauss , J. A. le Roux

Semiclassical methods are extremely valuable in the study of transport and thermodynamical properties of ballistic microstructures. By expressing the conductance in terms of classical trajectories, we demonstrate that quantum interference…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rodolfo A. Jalabert

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Tomasz Dietl

We review possible mechanisms for energy transfer based on 'rare' or 'non-perturbative' effects, in physical systems that present a many-body localized phenomenology. The main focus is on classical systems, with or without quenched…

Disordered Systems and Neural Networks · Physics 2017-08-02 François Huveneers

We study electron dynamics in a quasi-one-dimensional ballistic ring driven by two crossed high-frequency electric fields parallel to the ring plane. The averaged dipole moment and emission intensity are calculated. The emission…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. M. Epshtein , E. G. Fedorov , G. M. Shmelev

We construct a class of systems for which quantum dynamics can be expanded around a mean field approximation with essentially classical content. The modulus of the quantum overlap of mean field states naturally introduces a classical…

We study the energy transfer in a classical dipole chain of $N$ interacting rigid rotating dipoles. The underlying high--dimensional potential energy landscape is analyzed in particular by determining the equilibrium points and their…

Chaotic Dynamics · Physics 2018-08-15 Alexandra Zampetaki , J. Pablo Salas , Peter Schmelcher

We investigate a quasi-periodically driven four-level system that serves as a temporal analog of topological phenomena found in four-band models with intertwined spin and orbital degrees of freedom. Under a two-tone drive in the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Vansh Kaushik , Sayan Choudhury , Tanay Nag

The transport of excitation probabilities amongst weakly coupled subunits is investigated for a class of finite quantum systems. It is demonstrated that the dynamical behavior of the transported quantity depends on the considered length…

Statistical Mechanics · Physics 2007-10-09 Robin Steinigeweg , Heinz-Peter Breuer , Jochen Gemmer

We consider a one-dimensional array of particles interacting via an infinite well potential. We explore the properties of energy spreading from an initial state where only a group of particles has non-zero velocities while others are…

Statistical Mechanics · Physics 2025-04-07 Arkady Pikovsky

We contrast two sets of conditions that govern the transition in which classical dynamics emerges from the evolution of a quantum system. The first was derived by considering the trajectories seen by an observer (dubbed the ``strong''…

Quantum Physics · Physics 2009-11-13 Benjamin D. Greenbaum , Kurt Jacobs , Bala Sundaram
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