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Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

Statistical Mechanics · Physics 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi

We study the temperature dependence of energy diffusion in two chaotic gapped quantum spin chains, a tilted-field Ising model and an XZ model, using an open system approach. We introduce an energy imbalance by coupling the chain to thermal…

Strongly Correlated Electrons · Physics 2021-03-31 Cristian Zanoci , Brian Swingle

We use a phase-separated driven two-dimensional Ising lattice gas to study fluid interfaces exposed to shear flow parallel to the interface. The interface is stabilized by two parallel walls with opposing surface fields and a driving field…

Statistical Mechanics · Physics 2009-11-13 Thomas H. R. Smith , Oleg Vasilyev , Douglas B. Abraham , Anna Maciołek , Matthias Schmidt

We analyse the dynamics of a two dimensional system of interacting active dumbbells. We characterise the mean-square displacement, linear response function and deviation from the equilibrium fluctuation-dissipation theorem as a function of…

Nanoscale diffusion at the interfaces in multilayers plays a vital role in controlling their physical properties for a variety of applications. In the present work depth-dependent interdiffusion in a Si/Fe/Si trilayer has been studied with…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ajay Gupta , Dileep Kumar , Vaishali Phatak

Warming in complex physical systems, in particular global warming, attracts significant contemporary interest. It is essential, therefore, to understand basic physical mechanisms leading to overheating. It is well known that application of…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 N. Romero Kalmanovitz , A. A. Bykov , S. A. Vitkalov , A. I. Toropov

A large family of diffusive models of transport that has been considered in the past years admits a transformation into the same model in contact with an equilibrium bath. This mapping holds at the full dynamical level, and is independent…

Statistical Mechanics · Physics 2020-10-22 Rouven Frassek , Cristian Giardina , Jorge Kurchan

The theory of spin diffusion is extended to the case of spin lattice relaxation and spin diffusion in an inhomogeneous field in spin systems with non-equidistant energy spectrum. Two coupled equations describing the mutual relaxation and…

Materials Science · Physics 2007-05-23 Gregory B. Furman , Shaul D. Goren

We investigate how the scaling behavior of finite systems at magnetic first-order transitions (FOTs) with relaxational dynamics changes in correspondence of various boundary conditions. As a theoretical laboratory we consider the…

Statistical Mechanics · Physics 2019-07-24 Pierpaolo Fontana

Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the…

Statistical Mechanics · Physics 2009-11-11 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hänggi

Low-dimensional dynamical systems are fruitful models for mixing in fluid and granular flows. We study a one-dimensional discontinuous dynamical system (termed "cutting and shuffling" of a line segment), and we present a comprehensive…

Dynamical Systems · Mathematics 2018-08-24 Mengying Wang , Ivan C. Christov

Wave propagation and diffusion in linear materials preserve local reciprocity in terms of a symmetric Green's function. For wave propagations, the relation between the fields entering and leaving a system is more relevant than the detailed…

Applied Physics · Physics 2021-01-20 Ying Li , Jiaxin Li , Minghong Qi , Cheng-Wei Qiu , Hongsheng Chen

We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature…

Statistical Mechanics · Physics 2011-04-20 Soumyajyoti Biswas , Anasuya Kundu , Anjan Kumar Chandra

Harnessing spins as carriers for information has emerged as an elegant extension to the transport of electrical charges. The coherence of such spin transport in spintronic circuits is determined by the lifetime of spin excitations and by…

Quantum Gases · Physics 2014-07-24 Marco Koschorreck , Daniel Pertot , Enrico Vogt , Michael Köhl

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in…

Analysis of PDEs · Mathematics 2011-04-01 Helmut Abels

Demixing of binary fluids subjected to slow temperature ramps shows repeated waves of nucleation which arise as a consequence of the competition between generation of supersaturation by the temperature ramp and relaxation of supersaturation…

Statistical Mechanics · Physics 2012-10-16 Izabella J. Benczik , Jürgen Vollmer

Frictional sliding along an interface between two identical isotropic elastic plates under impact shear loading is investigated experimentally and numerically. The plates are held together by a compressive stress and one plate is subject to…

Geophysics · Physics 2009-11-10 D. Coker , G. Lykotrafitis , A. Needleman , A. J. Rosakis

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

Statistical Mechanics · Physics 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

We provide a framework to study the interfaces imposed by Dobrushin boundary conditions on the half-plane version of the Ising model on random triangulations with spins on vertices. Using the combinatorial solution by Albenque, M\'enard and…

Mathematical Physics · Physics 2020-06-02 Joonas Turunen

Diffusion describes the motion of microscopic entities from regions of high concentration to regions of low concentration. In multiplex networks, flows can occur both within and across layers, and super-diffusion, a regime where the time…

Physics and Society · Physics 2019-04-02 Giulia Cencetti , Federico Battiston
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