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Populations of phase oscillators interacting globally through a general coupling function $f(x)$ have been considered. In the absence of precessing frequencies and for odd-coupling functions there exists a Lyapunov functional and the…

Statistical Mechanics · Physics 2009-10-31 L. L. Bonilla , C. Perez-Vicente , F. Ritort , J. Soler

We investigate the disordering of an initially phase-segregated binary alloy, due to a highly mobile defect which couples to an electric or gravitational field. Using both mean-field and Monte Carlo methods, we show that the late stages of…

Statistical Mechanics · Physics 2009-10-31 Wannapong Triampo , Timo Aspelmeier , Beate Schmittmann

In XXZ chains, spin transport can be significantly suppressed when the interactions in the chain and the bias of the dissipative driving are large enough. This phenomenon of negative differential conductance is caused by the formation of…

Statistical Mechanics · Physics 2020-10-09 Kang Hao Lee , Vinitha Balachandran , Ryan Tan , Chu Guo , Dario Poletti

We report results on a model of two coupled oscillators that undergo periodic parametric modulations with a phase difference $\theta$. Being to a large extent analytically solvable, the model reveals a rich $\theta$ dependence of the…

Statistical Mechanics · Physics 2009-10-31 Mauro Copelli , Katja Lindenberg

Spin transport typically relies on direct manipulation of the spin degree of freedom via magnetic fields, spin-orbit coupling, or engineered spin-dependent potentials. We show theoretically that directional spin currents can arise in a…

We study the dynamics of a macroscopic object interacting with a dissipative stochastic environment using an adiabatic perturbation theory. The perturbation theory reproduces known expressions for the friction coefficient and, surprisingly,…

Statistical Mechanics · Physics 2015-10-07 Luca D'Alessio , Yariv Kafri , Anatoli Polkovnikov

We examine microscopic mechanisms for coupling stochastic oscillators so that they display similar and correlated temporal variations. Unlike oscillatory motion in deterministic dynamical systems, complete synchronization of stochastic…

Quantitative Methods · Quantitative Biology 2009-09-29 Amitabha Nandi , G. Santhosh , R. K. Brojen Singh , Ram Ramaswamy

We investigate a disorderly mesoscopic device that supports spin-orbit interaction. The systemis connected to four semi-infinite leads embedded in the Landauer-Buttiker setup for quantumtransport and, according to our analysis, exhibits…

Mesoscale and Nanoscale Physics · Physics 2020-07-07 F. A. F. Santana , J. M. da Silva , T. C. Vasconcelos , J. G. G. S. Ramos , A. L. R. Barbosa

We study synchronization and noise-induced resonance phenomena in systems of globally coupled oscillators, each possessing finite inertia. The behavior of the order parameter, which measures collective synchronization of the system, is…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi

Synchronization is one of the emerging collective phenomena in interacting particle systems. Its ubiquitous presence in nature, science, and technology has fascinated the scientific community over the decades. Moreover, a great deal of…

Adaptation and Self-Organizing Systems · Physics 2023-12-18 Suvam Pal , Gourab Kumar Sar , Dibakar Ghosh , Arnab Pal

The motion of self-propelled particles can be rectified by asymmetric or ratchet-like periodic patterns in space. Here we show that a non-zero average drift can already be induced in a periodic potential with symmetric barriers when the…

Statistical Mechanics · Physics 2015-06-15 Andrey Pototsky , Aljoscha M. Hahn , Holger Stark

We introduce a universal theory of phase auto-oscillators driven by a bi harmonic signal (having frequency components close to single and double of the free-running oscillator frequency) with noise. With it, we show how deterministic phase…

We characterize the synchronization of an array of coupled chaotic elements as a phase transition where order parameters related to the joint probability at two sites obey power laws versus the mutual coupling strength; the phase transition…

Chaotic Dynamics · Physics 2007-05-23 F. T. Arecchi , M. Ciszak

A three-dimensional harmonic oscillator with spin non-commutativity in the phase space is considered. The system has a regular symplectic structure and by using supersymmetric quantum mechanics techniques, the ground state is calculated…

High Energy Physics - Theory · Physics 2013-05-30 H. Falomir , J. Gamboa , M. Loewe , F. Mendez , J. C. Rojas

In this communication we report the existence of a dynamic ``spin-reversal'' transition in an Ising system perturbed by a pulsed external magnetic field. The transition is achieved by tuning the strength ($h_p$) and/or the duration ($\Delta…

Condensed Matter · Physics 2015-06-25 A. Misra , B. K. Chakrabarti

We revisit the problem of transport of a harmonically driven inertial particle moving in a {\it symmetric} periodic potential, subjected to {\it unbiased} non-equilibrium generalized white Poissonian noise and coupled to thermal bath.…

Statistical Mechanics · Physics 2016-06-01 J. Spiechowicz , J. Luczka

The present paper introduces a linear reformulation of the Kuramoto model describing a self-synchronizing phase transition in a system of globally coupled oscillators that in general have different characteristic frequencies. The…

Pattern Formation and Solitons · Physics 2008-03-18 David C. Roberts

We study one dimensional disordered bosons at large commensurate filling. Using a real space renormalization group approach we find a new random fixed point which controls a phase transition from a superfluid to an incompressible…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ehud Altman , Yariv Kafri , Anatoli Polkovnikov , Gil Refael

We study numerically the phase diagram and the response under a driving force of the phase field crystal model for pinned lattice systems introduced recently for both one and two dimensional systems. The model describes the lattice system…

Materials Science · Physics 2009-09-30 C. V. Achim , J. A. P. Ramos , M. Karttunen , K. R. Elder , E. Granato , T. Ala-Nissila , S. C. Ying

Collective behavior in large ensembles of dynamical units with non-pairwise interactions may play an important role in several systems ranging from brain function to social networks. Despite recent work pointing to simplicial structure,…

Adaptation and Self-Organizing Systems · Physics 2019-06-26 Per Sebastian Skardal , Alex Arenas