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The transition to a hidden metastable state in 1T-TaS2 is investigated in real time using coherent time-resolved femtosecond spectroscopy. Relying on spectral differences between phonon modes in the equilibrium states and in the metastable…

Strongly Correlated Electrons · Physics 2018-02-21 Jan Ravnik , Igor Vaskivskyi , Tomaz Mertelj , Dragan Mihailovic

The linear fractional stable motion generalizes two prominent classes of stochastic processes, namely stable L\'evy processes, and fractional Brownian motion. For this reason it may be regarded as a basic building block for continuous time…

Statistics Theory · Mathematics 2022-08-17 Fabian Mies , Mark Podolskij

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

Statistical Mechanics · Physics 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

We study the non-equilibrium steady states and first passage properties of a Brownian particle with position $X$ subject to an external confining potential of the form $V(X)=\mu|X|$, and that is switched on and off stochastically. Applying…

Statistical Mechanics · Physics 2020-11-11 Gabriel Mercado-Vásquez , Denis Boyer , Satya N. Majumdar , Grégory Schehr

We propose a stability analysis method for sampled-data switched linear systems with finite-level static quantizers. In the closed-loop system, information on the active mode of the plant is transmitted to the controller only at each…

Systems and Control · Computer Science 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

We investigate a resonantly modulated harmonic mode, dispersively coupled to a nonequilibrium few-level quantum system. We focus on the regime where the relaxation rate of the system greatly exceeds that of the mode, and develop a quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Z. Maizelis , M. Rudner , M. I. Dykman

In the model system of two instantaneously and symmetrically coupled identical Stuart-Landau oscillators we demonstrate that there exist stable solutions with symmetry-broken amplitude- and phase-locking. These states are characterized by a…

Chaotic Dynamics · Physics 2021-08-09 André Röhm , Kathy Lüdge , Isabelle Schneider

We study the overdamped motion of a Brownian particle in a driven double-well system to understand various physical phenomena observed experimentally. These phenomena include hysteresis, stochastic resonance, and net unidirectional motion…

Condensed Matter · Physics 2015-06-25 Mangal C. Mahato , A. M. Jayannavar

We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the…

Statistical Mechanics · Physics 2024-10-03 Yasuhiro Utsumi

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

The non-equilibrium steady states emerging from stochastic resetting to a distribution is studied. We show that for a range of processes, the steady-state moments can be expressed as a linear combination of the moments of the distribution…

Statistical Mechanics · Physics 2023-10-10 Kristian Stølevik Olsen

This paper studies the finite-time stability and stabilization of linear discrete time-varying stochastic systems with multiplicative noise. Firstly, necessary and sufficient conditions for finite-time stability are presented via state…

Optimization and Control · Mathematics 2018-06-25 Tianliang Zhang , Feiqi Deng , Weihai Zhang

The vast majority of the literature on learning dynamical systems or stochastic processes from time series has focused on stable or ergodic systems, for both Bayesian and frequentist inference procedures. However, most real-world systems…

Machine Learning · Statistics 2025-07-02 Zachary P Adams , Sayan Mukherjee

The weak noise limit of dissipative dynamical systems is often the most fascinating one. In such a case fluctuations can interact with a rich complexity frequently hidden in deterministic systems to give rise of completely new phenomena…

Statistical Mechanics · Physics 2021-09-15 Jakub Spiechowicz , Jerzy Łuczka

In mean-field theory, i.e. infinite-range interactions, the transition between metastable and unstable states of a thermodynamic system is sharp. The metastable and the unstable states are separated by a spinodal curve. For systems with…

Statistical Mechanics · Physics 2009-11-07 Dieter W. Heermann , Claudette E. Cordeiro

We investigate the total entropy production of a Brownian particle in a driven bistable system. This system exhibits the phenomenon of stochastic resonance. We show that in the time-periodic steady state, the probability density function…

Statistical Mechanics · Physics 2009-11-13 Sourabh Lahiri , A. M. Jayannavar

In this paper we study metastable states in single- and two-component dipolar Bose-Einstein condensates. We show that this system supports a rich spectrum of symmetries that are remarkably stable despite not being ground states. In a…

Quantum Gases · Physics 2024-04-09 Yong-Chang Zhang , Thomas Pohl , Fabian Maucher

In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney blood flow control). Through a careful spectral analysis we…

Analysis of PDEs · Mathematics 2020-07-20 Serge Nicaise , Alessandro Paolucci , Cristina Pignotti

We consider a stochastic version of the so-called Brusselator - a mathematical model for a two-dimensional chemical reaction network - in which one of its parameters is assumed to vary randomly. It has been suggested via numerical…

Dynamical Systems · Mathematics 2023-05-30 Maximilian Engel , Guillermo Olicón-Méndez

In this paper we study noise-induced bistability in a specific circuit with many biological implications, namely a single-step enzymatic cycle described by Michaelis Menten equations with quasi-steady state assumption. We study the system…

Biological Physics · Physics 2011-07-25 Daniel Remondini , Enrico Giampieri , Armando Bazzani , Gastone Castellani , Amos Maritan