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Resonant light interacting with matter can support different phases of a polarizable medium, and optical bistability where two such phases coexist. Here we identify signatures of optical phase transitions and optical bistability mapped onto…

Atomic Physics · Physics 2020-11-10 C. D. Parmee , J. Ruostekoski

Spectral line-shapes provide a window into the local environment coupled to a quantum transition in the condensed phase. In this paper, we build upon a stochastic model to account for non-stationary background processes produced by…

Mesoscale and Nanoscale Physics · Physics 2022-11-03 Hao Li , S. A. Shah , Eric R. Bittner , Andrei Piryatinski , Carlos Silva

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

Adaptation and Self-Organizing Systems · Physics 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

As a function of the disorder strength in a mesoscopic system, the electron dynamics crosses over from the ballistic through the diffusive towards the localized regime. The ballistic and the localized situation correspond to integrable or…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dietmar Weinmann , Sigmund Kohler , Gert-Ludwig Ingold , Peter Hänggi

We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

Pattern Formation and Solitons · Physics 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

A system's internal dynamics and its interaction with the environment can be determined by tracking how external perturbations affect its transition rates between states. Quantitative measurements of these rates are crucial for optimizing…

The statistical properties of the phases of several modes nonlinearly coupled in a random system are investigated by means of a Hamiltonian model with disordered couplings. The regime in which the modes have a stationary distribution of…

Statistical Mechanics · Physics 2011-09-14 Claudio Conti , Luca Leuzzi

Statistical mechanics is founded on the assumption that a system can reach thermal equilibrium, regardless of the starting state. Interactions between particles facilitate thermalization, but, can interacting systems always equilibrate…

We demonstrate the phenomenon of stochastic resonance (SR) for discrete-time dynamical systems. We investigate various systems that are not necessarily bistable, but do have two well defined states, switching between which is aided by…

chao-dyn · Physics 2009-10-30 Prashant M. Gade , Renuka Rai , Harjinder Singh

Many nonlinear systems are described by eigenmodes with amplitude-dependent frequencies, interacting strongly whenever the frequencies become commensurate at internal resonances. Fast energy exchange via the resonances holds the key to rich…

Chaotic Dynamics · Physics 2022-12-07 Mingkang Wang , Diego J. Perez-Morelo , Daniel Lopez , Vladimir A. Aksyuk

Phase separation and coarsening is a phenomenon commonly seen in binary physical and chemical systems that occur in nature. Often times, thermal fluctuations, modeled as stochastic noise, are present in the system and the phase segregation…

Soft Condensed Matter · Physics 2017-04-19 Prerna Gera , David Salac

The mobility of an overdamped particle, in a periodic potential tilted by a constant external field and moving in a medium with periodic friction coefficient is examined. When the potential and the friction coefficient have the same…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

The combined influence of oscillatory excitations and multiplicative stochastic perturbations of white noise type on isochronous systems in the plane is investigated. It is assumed that the intensity of perturbations decays with time and…

Dynamical Systems · Mathematics 2025-05-01 Oskar A. Sultanov

This work is devoted to quantifying how periodic perturbation can change the rate of metastable transition in stochastic mechanical systems with weak noises. A closed-form explicit expression for approximating the rate change is provided,…

Dynamical Systems · Mathematics 2021-09-30 Ying Chao , Molei Tao

We study a stochastic version of the one-dimensional discrete nonlinear Schr{\"o}dinger equation (DNSE), which is derived from first principles, and thus possesses all the properties required by statistical mechanics, such as detailed…

Statistical Mechanics · Physics 2026-02-25 Mahdieh Ebrahimi , Barbara Drossel , Wolfram Just

We employ the "learning by confusion" technique, an unsupervised machine learning approach for detecting phase transitions, to analyze quantum Monte Carlo simulations of the two-dimensional Holstein model--a fundamental model for…

Strongly Correlated Electrons · Physics 2025-04-25 George Issa , Owen Bradley , Ehsan Khatami , Richard Scalettar

Statistical models provide a powerful and useful class of approximations for calculating reaction rates by bypassing the need for detailed, and often difficult, dynamical considerations. Such approaches invariably invoke specific…

Chemical Physics · Physics 2020-04-01 Sourav Karmakar , Pankaj Kumar Yadav , Srihari Keshavamurthy

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…

Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes on the one hand and effective photon-photon interactions on the other hand. As generic example we study a bosonic lattice…

Quantum Physics · Physics 2024-09-17 Arkadiusz Kosior , Karol Gietka , Farokh Mivehvar , Helmut Ritsch

We revisit the phenomenon of quantum stochastic resonance in the regime of validity of the Bloch equations. We find that a stochastic resonance behavior in the steady-state response of the system is present whenever the noise-induced…

Quantum Physics · Physics 2009-11-06 L. Viola , E. M. Fortunato , S. Lloyd , C. -H. Tseng , D. G. Cory