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We present a numerical scheme for simulating the dynamics of Brownian particles suspended in a fluid. The motion of the particles is tracked by the Langevin equation, whereas the host fluid flow is analyzed by using the lattice Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

In this work, the relaxation process of the spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice has been investigated by a method which combines the statistical equilibrium theory and the…

Statistical Mechanics · Physics 2012-09-28 Erol Vatansever , Hamza Polat

Spin-echo experiments are often said to constitute an instant of anti-thermodynamic behavior in a concrete physical system that violates the second law of thermodynamics. We argue that a proper thermodynamic treatment of the effect should…

Quantum Physics · Physics 2013-05-29 Charis Anastopoulos , Ntina Savvidou

We solve the Schroedinger equation for an interacting spin-chain locally coupled to a quantum environment with a specific degeneracy structure. The reduced dynamics of the whole spin-chain as well as of single spins is analyzed. We show,…

Statistical Mechanics · Physics 2007-05-23 Markus J. Henrich , Mathias Michel , Michael Hartmann , Guenther Mahler , Jochen Gemmer

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

Statistical Mechanics · Physics 2008-12-02 Jun-ichi Maskawa

We train a set of Restricted Boltzmann Machines (RBMs) on one- and two-dimensional Ising spin configurations at various values of temperature, generated using Monte Carlo simulations. We validate the training procedure by monitoring several…

Computational Physics · Physics 2019-08-14 Guido Cossu , Luigi Del Debbio , Tommaso Giani , Ava Khamseh , Michael Wilson

We present a method for performing atomistic spin dynamic simulations. A comprehensive summary of all pertinent details for performing the simulations such as equations of motions, models for including temperature, methods of extracting…

Materials Science · Physics 2014-04-04 B. Skubic , J. Hellsvik , L. Nordström , O. Eriksson

We perform Monte Carlo simulations in a random anisotropy magnet at a intermediate exchange to anisotropy ratio. We focus on the out of equilibrium relaxation after a sudden quenching in the low temperature phase, well below the freezing…

Disordered Systems and Neural Networks · Physics 2009-11-11 Orlando V. Billoni , Sergio A. Cannas , Francisco A. Tamarit

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

Disordered Systems and Neural Networks · Physics 2023-03-03 Eric Vincent

In a two-qubit system the coupling with an environment affects considerably the entanglement dynamics, and usually leads to the loss of entanglement within a finite time. Since entanglement is a key feature in the application of such…

Quantum Physics · Physics 2009-11-13 Y. Dubi , M. Di Ventra

This review describes the physics of spins in quantum dots containing one or two electrons, from an experimentalist's viewpoint. Various methods for extracting spin properties from experiment are presented, restricted exclusively to…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 R. Hanson , L. P. Kouwenhoven , J. R. Petta , S. Tarucha , L. M. K. Vandersypen

When probing nuclear spins in materials on the nanometer scale, random fluctuations of the spin polarization will exceed the mean Boltzmann polarization for sample volumes below about (100nm)^3. In this work, we use magnetic resonance force…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 C. L. Degen , M. Poggio , H. J. Mamin , D. Rugar

We use recent developments in the framework of time dependent matrix product state method (t-MPS) to compute the NMR relaxation rate $1/T_1$ for spin-1/2 chains under magnetic field and for different Hamiltonians (XXX, XXZ, isotropically…

Strongly Correlated Electrons · Physics 2016-11-08 E. Coira , P. Barmettler , T. Giamarchi , C. Kollath

An evolution equation for the expectation values of the Boltzmann factor between monomer valence bond states is derived. It contains the whole information on the thermodynamical and magnetic properties of the spin $\frac{1}{2}$ quantum…

Condensed Matter · Physics 2008-02-03 K. -H. Mütter

An efficient technique to generate ensembles of spins that are highly polarized by external magnetic fields is the Holy Grail in Nuclear Magnetic Resonance (NMR) spectroscopy. Since spin-half nuclei have steady-state polarization biases…

Quantum Physics · Physics 2007-05-23 Jose M. Fernandez , Seth Lloyd , Tal Mor , Vwani Roychowdhury

The temperature-dependent electron spin relaxation of positively charged excitons in a single InAs quantum dot (QD) was measured by time-resolved photoluminescence spectroscopy at zero applied magnetic fields. The experimental results show…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 X. M. Dou , B. Q. Sun , D. S. Jiang , H. Q. Ni , Z. C. Niu

Spin-phonon coupling is the main drive of spin relaxation and decoherence in solid-state semiconductors at finite temperature. Controlling this interaction is a central problem for many disciplines, ranging from magnetic resonance to…

Materials Science · Physics 2022-08-23 Alessandro Lunghi

We analyze a non-Markovian mean field interacting spin system, related to the Curie--Weiss model. We relax the Markovianity assumption by replacing the memoryless distribution of the waiting times of a classical spin-flip dynamics with a…

Probability · Mathematics 2019-11-14 Paolo Dai Pra , Marco Formentin , Guglielmo Pelino

In this note we present numerical simulations of binary mixtures. We study the diffusion of particles and the response to an external driving force. We find evidence for the validity of the Cugliandolo Kurchan off-equilibrium fluctuation…

Disordered Systems and Neural Networks · Physics 2008-02-03 Giorgio Parisi

In this report, we apply Optimal Control Theory to design minimum energy $\pi/2$ and $\pi$ pulses for Bloch equations, in the case where transverse relaxation rate is much larger than longitudinal so the later can be neglected. Using…

Optimization and Control · Mathematics 2015-05-14 Dionisis Stefanatos
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