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Various types of mixed spin two-dimensional Heisenberg networks are investigated by means of Monte Carlo simulations. This study aims at interpreting quantitatively the thermodynamical properties of two-dimensional molecule-based magnets…

Statistical Mechanics · Physics 2009-10-30 B. Mombelli , O. Kahn , J. Leandri , Y. Leroyer , S. Mechkov , Y. Meurdesoif

We study long-term behavior and stationary distributions for stochastic heat equations forced simultaneously by a multiplicative noise and an independent additive noise with the same distribution. We prove that nontrivial space-time…

Probability · Mathematics 2025-04-24 Alexander Dunlap , Chiranjib Mukherjee

Estimating free-energy differences using nonequilibrium work relations, such as the Jarzynski equality, is hindered by poor convergence when work fluctuations are large. For systems governed by overdamped Langevin dynamics, we propose the…

Statistical Mechanics · Physics 2025-08-14 Stephen Whitelam

Damping and thermal fluctuations have been introduced to collective normal modes of a magnetic system in recent modeling of dynamic thermal magnetization processes. The connection between this collective stochastic dynamics and physical…

Condensed Matter · Physics 2009-11-10 H. Neal Bertram , Xiaobin Wang

Influence of mesoscopic channel noise on excitable dynamics of living cells became a hot subject within the last decade, and the traditional biophysical models of neuronal dynamics such as Hodgkin-Huxley model have been generalized to…

Neurons and Cognition · Quantitative Biology 2014-09-24 Igor Goychuk

We study the focusing stochastic nonlinear Schr\"odinger equation in one spatial dimension with multiplicative noise, driven by a Wiener process white in time and colored in space, in the $L^2$-critical and supercritical cases. The mass…

Analysis of PDEs · Mathematics 2022-10-11 Annie Millet , Alex D Rodriguez , Svetlana Roudenko , Kai Yang

We consider the Langevin lattice dynamics for a spontaneously broken lambda phi^4 scalar field theory where both additive and multiplicative noise terms are incorporated. The lattice renormalization for the corresponding stochastic…

High Energy Physics - Phenomenology · Physics 2012-05-17 N. C. Cassol-Seewald , R. L. S. Farias , E. S. Fraga , G. Krein , Rudnei O. Ramos

We analyze the heating of interacting bosonic atoms in an optical lattice due to intensity fluctuations of the lasers forming the lattice. We focus in particular on fluctuations at low frequencies below the band gap frequency, such that the…

Quantum Gases · Physics 2013-03-19 Hannes Pichler , Johannes Schachenmayer , Andrew J. Daley , Peter Zoller

This paper compares the results of applying a recently developed method of stochastic uncertainty quantification designed for fluid dynamics to the Born-Infeld model of nonlinear electromagnetism. The similarities in the results are…

Mathematical Physics · Physics 2019-01-15 Darryl D. Holm

In this work we study the noise induced effects on the dynamics of short polymers crossing a potential barrier, in the presence of a metastable state. An improved version of the Rouse model for a flexible polymer has been adopted to mimic…

Statistical Mechanics · Physics 2009-11-13 N. Pizzolato , A. Fiasconaro , B. Spagnolo

We study the deterministic and stochastic rotational dynamics of ferromagnetic nanoparticles in a precessing magnetic field. Our approach is based on the system of effective Langevin equations and on the corresponding Fokker-Planck…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 T. V. Lyutyy , S. I. Denisov , V. V. Reva , Yu. S. Bystrik

In this work, we study the stochastic dynamics of micro-magnetics interacting with a spin-current torque. We extend the previously constructed stochastic Landau-Lifshitz equation to the case with spin-current torque, and verify the…

Statistical Mechanics · Physics 2024-08-06 Mingnan Ding , Jun Wu , Xiangjun Xing

We formulate dissipative magnetohydrodynamic equations for finite-temperature superfluid and superconducting charged relativistic mixtures, taking into account the effects of particle diffusion and possible presence of Feynman-Onsager…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Vasiliy A. Dommes , Mikhail E. Gusakov

A theoretical model is introduced for constructing the vibrational Hamiltonian of Hydrogen-like atoms (HLA). The Hamiltonian is then used to derive the vibrational motion equations of HLA in Heisenberg picture. The Langevin equation will…

Quantum Physics · Physics 2020-03-26 J. Jahanpanah

We study the fluctuation properties of a one-dimensional many-body quantum system composed of interacting bosons, and investigate the regimes where quantum noise or, respectively, thermal excitations are dominant. For the latter we develop…

Quantum Gases · Physics 2010-07-16 H. -P. Stimming , N. J. Mauser , J. Schmiedmayer , I. E. Mazets

The dynamics of gyrotropic vortex motion in a thin circular nanodisk of soft ferromagnetic material is considered. The demagnetization field is calculated using two-dimensional Green's functions for the thin film problem and fast Fourier…

Statistical Mechanics · Physics 2013-05-08 G. M. Wysin , W. Figueiredo

We investigate the Landau-Zener transition in two- and three- level systems subject to a classical Gaussian noise. Two complementary limits of the noise being fast and slow compared to characteristic Landau-Zener tunnel times are discussed.…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 M. B. Kenmoe , H. N. Phien , M. N. Kiselev , L. C. Fai

We study Langevin dynamics with stochastic diffusivity arising from fluctuations of the surrounding medium. The diffusivity is modeled as Ornstein-Uhlenbeck process driven by symmetric dichotomous noise, which confines it to a finite…

Statistical Mechanics · Physics 2026-04-14 Dongho Lee , Jae-Hyung Jeon , Pascal Viot , Gleb Oshanin

Spontaneously created vortex-antivortex pairs are the predominant source of flux noise in high-temperature superconductors. In principle, flux noise measurements allow to check theoretical predictions for both the distribution of…

Superconductivity · Physics 2009-10-28 Carsten Timm

Additive symmetric L\'evy noise can induce directed transport of overdamped particles in a static asymmetric potential. We study, numerically and analytically, the effect of an additional dichotomous random flashing in such L\'evy ratchet…

Statistical Mechanics · Physics 2011-09-05 S. A. Ibáñez , A. B. Kolton , S. Risau-Gusman , S. Bouzat