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The Ising spin glass in two dimensions exhibits rich behavior with subtle differences in the scaling for different coupling distributions. We use recently developed mappings to graph-theoretic problems together with highly efficient…

Disordered Systems and Neural Networks · Physics 2018-03-02 Hamid Khoshbakht , Martin Weigel

We present numerical evidence that the techniques of conformal field theory might be applicable to two-dimensional Ising spin glasses with Gaussian bond distributions. It is shown that certain domain wall distributions in one geometry can…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Amoruso , A. K. Hartmann , M. B. Hastings , M. A. Moore

A possibility is discussed of observing spin injection effect on the ferromagnet domain structure by means of resonant excitation of the domain wall oscillations by a spin-polarized ac injection current. The natural frequency of the domain…

Materials Science · Physics 2007-05-23 R. J. Elliott , E. M. Epshtein , Yu. V. Gulyaev , P. E. Zilberman

The shape instability of magnetic domain walls under current is investigated in a ferromagnetic (Ga,Mn)(As,P) film with perpendicular anisotropy. Domain wall motion is driven by the spin transfer torque mechanism. A current density gradient…

We prove large deviation principles for two versions of fractional Poisson processes. Firstly we consider the main version which is a renewal process; we also present large deviation estimates for the ruin probabilities of an insurance…

Probability · Mathematics 2016-11-26 Luisa Beghin , Claudio Macci

We describe a method for computing transport coefficients from the direct evaluation of large deviation function. This method is general, relying on only equilibrium fluctuations, and is statistically efficient, employing trajectory based…

Statistical Mechanics · Physics 2017-11-22 Chloe Ya Gao , David T. Limmer

The algebra of differential geometry operations on symmetric tensors over constant curvature manifolds forms a novel deformation of the sl(2,R) [semidirect product] R^2 Lie algebra. We present a simple calculus for calculations in its…

High Energy Physics - Theory · Physics 2009-11-11 Karl Hallowell , Andrew Waldron

Current fluctuations can provide additional insight into quantum transport in mesoscopic systems. The present work is carried out for the fluctuation properties of transport through a pair of coupled quantum dots which are connected with…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 JunYan Luo , Xin-Qi Li , YiJing Yan

We study, through the diffusion Monte Carlo method, a spin one-half fermion fluid, in the three dimensional Euclidean space, at zero temperature. The point particles, immersed in a uniform "neutralizing" background, interact with a…

Strongly Correlated Electrons · Physics 2013-07-11 Riccardo Fantoni

We study current-induced dynamics of a magnetic domain wall by solving a time-dependent Schr\"{o}dinger equation combined with Landau-Lifshitz-Gilbert equation in a one-dimensional electron system coupled to localized spins. Two types of…

Mesoscale and Nanoscale Physics · Physics 2009-03-10 Daisuke Matsubayashi , Masafumi Udagawa , Masao Ogata

We calculate exactly cumulant generating functions (full counting statistics) for the transverse, staggered magnetization and the domain walls at zero temperature for a finite interval of the XY spin chain. In particular, we also derive a…

Statistical Mechanics · Physics 2021-04-09 Filiberto Ares , M. A. Rajabpour , Jacopo Viti

The dispersion of a diffusive scalar in a fluid flowing through a network has many applications including to biological flows, porous media, water supply and urban pollution. Motivated by this, we develop a large-deviation theory that…

Fluid Dynamics · Physics 2016-09-14 Alexandra Tzella , Jacques Vanneste

We have calculated the persistent spin current of an open ring induced by the Aharonov-Casher phase. For unpolarized electrons there exist no persistent charge currents, but persistent spin currents. We show that, in general, the magnitude…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Taeseung Choi , Chang-Mo Ryu , A. M. Jayannavar

We solve two problems related to the fluctuations of time-integrated functionals of Markov diffusions, used in physics to model nonequilibrium systems. In the first we derive and illustrate the appropriate boundary conditions on the…

Statistical Mechanics · Physics 2023-02-01 Johan du Buisson

We consider the maximum entropy Markov chain inference approach to characterize the collective statistics of neuronal spike trains, focusing on the statistical properties of the inferred model. We review large deviations techniques useful…

Neurons and Cognition · Quantitative Biology 2018-08-15 Rodrigo Cofre , Cesar Maldonado , Fernando Rosas

We investigate a Coulomb gas in a potential satisfying a weaker growth assumption than usual and establish a large deviation principle for its empirical measure. As a consequence the empirical measure is seen to converge towards a…

Probability · Mathematics 2012-05-29 Adrien Hardy

We consider the jellium model of $N$ particles on a line confined in an external harmonic potential and with a pairwise one-dimensional Coulomb repulsion of strength $\alpha > 0$. Using a Coulomb gas method, we study the statistics of $s =…

Statistical Mechanics · Physics 2023-03-20 Ana Flack , Satya N. Majumdar , Gregory Schehr

A coexistent phase of spin polarization and color superconductivity in high-density QCD is investigated using a self-consistent mean-field method at zero temperature. The axial-vector current stemming from the Fock exchange term of the…

High Energy Physics - Phenomenology · Physics 2010-11-19 E. Nakano , T. Maruyama , T. Tatsumi

We study the dynamics of a single spin embedded in the tunneling barrier between two superconductors. As a consequence of pair correlations in the superconducting state, the spin displays rich and unusual dynamics. To properly describe the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Shnirman , Z. Nussinov , Jian-Xin Zhu , A. V. Balatsky , Yu. Makhlin

We use Density Functional Theory to study interacting spinless electrons on a one-dimensional quantum ring in the density range where the system undergoes Wigner crystallization. The Wigner transition leads to a drastic ``collective''…

Mesoscale and Nanoscale Physics · Physics 2007-11-20 Marc Siegmund , Markus Hofmann , Oleg Pankratov