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We present a simple scheme to evaluate linear response functions including quantum fluctuation corrections on top of the Gutzwiller approximation. The method is derived for a generic multi-band lattice Hamiltonian without any assumption…

Strongly Correlated Electrons · Physics 2017-03-08 Michele Fabrizio

We consider the behavior of an interacting many particle system under slow external driving -- a many body generalization of the Landau-Zener paradigm. We find that a conspiracy of interactions and driving leads to physics profoundly…

Other Condensed Matter · Physics 2009-06-10 A. Altland , V. Gurarie , T. Kriecherbauer , A. Polkovnikov

We investigate the dynamical critical behavior of the two- and three-dimensional Ising model with Glauber dynamics in equilibrium. In contrast to the usual standing, we focus on the mean-squared deviation of the magnetization $M$, MSD$_M$,…

Statistical Mechanics · Physics 2023-09-22 Zihua Liu , Erol Vatansever , Gerard T. Barkema , Nikolaos G. Fytas

In this paper, we study the fluctuations of the average magnetization in an Ising model on an approximately $d_N$ regular graph $G_N$ on $N$ vertices. In particular, if $G_N$ is \enquote{well connected}, we show that whenever $d_N\gg…

Probability · Mathematics 2022-07-08 Nabarun Deb , Sumit Mukherjee

We develop a theory of reversible diffusion-controlled reactions with generalized binding/unbinding kinetics. In this framework, a diffusing particle can bind to the reactive substrate after a random number of arrivals onto it, with a given…

Chemical Physics · Physics 2023-10-03 Denis S. Grebenkov

We study equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems. As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the…

Probability · Mathematics 2022-01-07 Kohei Hayashi

The magnetization dynamics of ferromagnets are often formulated in terms of the Landau-Lifshitz-Gilbert (LLG) equation. The reactive part of this equation describes the response of the magnetization in terms of effective fields, whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

We study analytically giant fluctuations and temporal intermittency in a stochastic one-dimensional model with diffusion and aggregation of masses in the bulk, along with influx of single particles and outflux of aggregates at the…

Statistical Mechanics · Physics 2015-06-17 Himani Sachdeva , Mustansir Barma

Using an effective Hamiltonian including the Zeeman and internal interactions, we describe the quantum theory of magnetization dynamics when the spin system evolves non-adiabatically and out of equilibrium. The Lewis-Riesenfeld dynamical…

Other Condensed Matter · Physics 2008-11-26 F. M. Saradzhev , F. C. Khanna , Sang Pyo Kim , M. de Montigny

In this work, we calculate the one-loop contribution to the polarization tensor for photons (and gluons) in the presence of a classical background magnetic field with white-noise stochastic fluctuations. The magnetic field fluctuations are…

High Energy Physics - Theory · Physics 2024-01-24 Jorge David Castaño-Yepes , Enrique Muñoz

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

We study the late time dynamics of a single active Brownian particle in two dimensions with speed $v_0$ and rotation diffusion constant $D_R$. We show that at late times $t\gg D_R^{-1}$, while the position probability distribution…

Statistical Mechanics · Physics 2019-12-18 Urna Basu , Satya N. Majumdar , Alberto Rosso , Gregory Schehr

Experimental work has shown that non-equilibrium concentration fluctuations arise during free diffusion in fluids and theoretical analysis has been carried on. The results show that, in usual three-dimensional fluids, the phenomenon is…

Fluid Dynamics · Physics 2016-08-31 Doriano Brogioli , Alberto Vailati

We consider several types of quantum critical phenomena from finite-density gauge-gravity duality which to different degrees lie outside the Landau-Ginsburg-Wilson paradigm. These include: (1) a "bifurcating" critical point, for which the…

High Energy Physics - Theory · Physics 2014-10-24 Nabil Iqbal , Hong Liu , Márk Mezei

In [CGN12], we proved that the renormalized critical Ising magnetization fields $\Phi^a:= a^{15/8} \sum_{x\in a\, \Z^2} \sigma_x \, \delta_x$ converge as $a\to 0$ to a random distribution that we denoted by $\Phi^\infty$. The purpose of…

Probability · Mathematics 2013-07-16 Federico Camia , Christophe Garban , Charles M. Newman

We present a study of a microtwinned single crystal of LaMnO$_3$ by means of implanted muons. Two muon stopping sites are identified from the symmetry of the internal field in the ordered phase. The temperature dependence of these fields…

Condensed Matter · Physics 2019-05-15 M. Cestelli Guidi , G. Allodi , R. De Renzi , G. Guidi , M. Hennion , L. Pinsard , A. Amato

The probability distribution of the maximum $M_t$ of a single resetting Brownian motion (RBM) of duration $t$ and resetting rate $r$, properly centred and scaled, is known to converge to the standard Gumbel distribution of the classical…

Statistical Mechanics · Physics 2026-01-19 Alexander K. Hartmann , Satya N. Majumdar , Gregory Schehr

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , N. Read , R. Oppermann

The dynamics of a binary system with non conserved order parameter under a plain shear flow with rate $\gamma $ is solved analytically in the large-N limit. A phase transition is observed at a critical temperature $T_c(\gamma)$. After a…

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Giuseppe Gonnella , Eugenio Lippiello , Marco Zannetti

We study random velocity effects on a two-species reaction-diffusion system consisting of three reaction processes $A + A \rightarrow (\varnothing, A),A+B \rightarrow A$. Using the field-theoretic perturbative renormalization group we…

Statistical Mechanics · Physics 2023-10-11 Michal Hnatič , Matej Kecer , Tomáš Lučivjanský