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We examine the temporal evolution of the modular entropy and capacity (in particular, the fluctuation of the entanglement entropy) for systems of time-dependent oscillators coupled by a (time-dependent) parameter. Such models, through the…

High Energy Physics - Theory · Physics 2023-12-25 K. Andrzejewski

Tools of quantum and statistical field theories have been successfully ported to turbulence. Here, we review the key results of turbulence field theory. \textit{Equilibrium field theory} describes thermalized spectrally-truncated Euler…

Statistical Mechanics · Physics 2025-02-24 Mahendra Verma

Our point of departure are the unitary dynamics of closed quantum systems as generated from the Schr\"odinger equation. We focus on a class of quantum models that typically exhibit roughly exponential relaxation of some observable within…

Quantum Physics · Physics 2011-12-23 Christian Bartsch , Jochen Gemmer

Conventional transport theory is not really applicable to non-equilibrium systems which exhibit strong quantum effects. We present two different approaches to overcome this problem. Firstly we point out how transport equations may be…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. A. Henning , K. Nakamura , Y. Yamanaka

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

We use analytic estimates and numerical simulations to explore the stochastic approach to vacuum decay. According to this approach, the time derivative of a scalar field, which is in a local vacuum state, develops a large fluctuation and…

High Energy Physics - Theory · Physics 2019-12-11 Jose J. Blanco-Pillado , Heling Deng , Alexander Vilenkin

We extend the Exchange Fluctuation Theorem for energy exchange between thermal quantum systems beyond the assumption of molecular chaos, and describe the non-equilibrium exchange dynamics of correlated quantum states. The relation…

Quantum Physics · Physics 2015-10-14 Sania Jevtic , David Jennings , Terry Rudolph , Yuji Hirono , Shojun Nakayama , Mio Murao

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed…

High Energy Physics - Theory · Physics 2009-10-30 I. D. Lawrie , D. B. McKernan

An external force dynamically drives an isolated mean-field Hamiltonian system to a long-lasting quasistationary state, whose lifetime increases with population of the system. For second order phase transitions in quasistationary states,…

Statistical Mechanics · Physics 2015-09-11 Shun Ogawa , Yoshiyuki Y. Yamaguchi

Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

Fluid Dynamics · Physics 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul

In the classical (non-quantum) relativity theory the course of the moving clock is dilated as compared to the course of the clock at rest (the Einstein dilation). Any unstable system may be regarded as a clock. The time evolution (e.g., the…

Quantum Physics · Physics 2009-11-13 M. I. Shirokov

A generalization of the Onsager-Machlup theory from equilibrium to nonequilibrium steady states and its connection with recent fluctuation theorems are discussed for a dragged particle restricted by a harmonic potential in a heat reservoir.…

Statistical Mechanics · Physics 2007-05-23 Tooru Taniguchi , E. G. D. Cohen

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

Strongly Correlated Electrons · Physics 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

The traditional approach to studying near-field thermal transfer is based on fluctuational electrodynamics. However, this approach may not be suitable for nonequilibrium states due to dynamic drivings. In our work, we introduce a…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Gaomin Tang , Jian-Sheng Wang

We present a theory of the melting of elemental solids as a dislocation-mediated phase transition. We model dislocations near melt as non-interacting closed strings on a lattice. In this framework we derive simple expressions for the…

Condensed Matter · Physics 2009-10-31 Leonid Burakovsky , Dean L. Preston , Richard R. Silbar

This paper discusses a modified penetration theory where the time scale for the momentum wall layer is based on the onset of ejections from the wall but the time scale for the thermal layer is based on the unsteady state diffusion of heat…

Fluid Dynamics · Physics 2010-09-14 Trinh Khanh Tuoc

We compare two approaches to nonequilibrium thermodynamics, the two-generator bracket formulation of time-evolution equations for averages and the macroscopic fluctuation theory, for an isothermal driven diffusive system under steady state…

Statistical Mechanics · Physics 2010-11-10 Hans Christian Ottinger

The methods of non-equilibrium quantum field theory are used to investigate the possibility of representing dissipation in the equation of motion for the expectation value of a scalar field by a friction term, such as is commonly included…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ian D. Lawrie

A model for the simulation of Kirkendall voiding in metallic materials is presented based on vacancy diffusion, elastic-plastic and rate-dependent deformation of spherical voids. Starting with a phenomenological explanation of the…

Materials Science · Physics 2008-03-04 Kerstin Weinberg , Thomas Boehme
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