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We consider fluctuations of steady-state current activity, and of its dynamic counterpart, the local current, for the one-dimensional totally asymmetric simple exclusion process. The cumulants of the integrated activity behave similarly to…

Statistical Mechanics · Physics 2012-10-19 S. L. A. de Queiroz

We study large deviations for the current of one-dimensional stochastic particle systems with periodic boundary conditions. Following a recent approach based on an earlier result by Jensen and Varadhan, we compare several candidates for…

Statistical Mechanics · Physics 2018-10-02 Paul Chleboun , Stefan Grosskinsky , Andrea Pizzoferrato

We consider the totally asymmetric simple exclusion processes on quenched random energy landscapes. We show that the current and the diffusion coefficient differ from those for homogeneous environments. Using the mean-field approximation,…

Statistical Mechanics · Physics 2023-05-29 Issei Sakai , Takuma Akimoto

We consider a one-dimensional microscopic reaction-diffusion process obtained as a superposition of a Glauber and a Kawasaki dynamics. The reaction term is tuned so that a dynamical phase transition occurs in the model as a suitable…

Probability · Mathematics 2025-05-27 Benoit Dagallier , Claudio Landim

We study dynamical fluctuations in overdamped diffusion processes driven by time periodic forces. This is done by studying fluctuation functionals (rate functions from large deviation theory), of fluctuations around the non-equilibrium…

Statistical Mechanics · Physics 2010-03-18 Navinder Singh , Bram Wynants

We investigate the long time behavior of a passive particle evolving in a one-dimensional diffusive random environment, with diffusion constant $D$. We consider two cases: (a) The particle is pulled forward by a small external constant…

Statistical Mechanics · Physics 2018-04-16 François Huveneers

We examine the effects of a periodically varying flow velocity on the standing and travelling wave patterns formed by the flow-distributed oscillation (FDO) mechanism. In the kinematic (or diffusionless) limit, the phase fronts undergo a…

Pattern Formation and Solitons · Physics 2009-11-11 Patrick N. McGraw , Michael Menzinger

We propose to probe the distribution of current fluctuations by means of the escape probability histogram of a Josephson junction (JJ), obtained using very short bias current pulses in the adiabatic regime, where the low-frequency component…

Mesoscale and Nanoscale Physics · Physics 2008-09-10 Fabio Taddei , Frank W. J. Hekking

We use detrended fluctuation analysis (DFA) to study the dynamics of blood pressure oscillations and its feedback control in rats by analyzing systolic pressure time series before and after a surgical procedure that interrupts its control…

Biological Physics · Physics 2015-05-14 C. E. C. Galhardo , T. J. P. Penna , M. Argollo de Menezes , P. P. S. Soares

Results on dynamical fluctuations of charged particles in the pseudorapidity space of central C--Cu interactions at 4.5 $A$ GeV/$c$ are performed in the transformed variables and using higher order scaled factorial moments modifyied to…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. K. Sarkisyan , L. K. Gelovani , G. L. Gogiberidze , G. G. Taran

We consider electron transport in ferromagnets or antiferromagnets sandwiched between metals. When spins in the magnetic materials precess, they emit currents into the surrounding conductors. Generally, adiabatic pumping in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Arne Brataas

The theory of current transport in a narrow superconducting channel accounting for thermal fluctuations is developed. These fluctuations result in the appearance of small but finite dissipation in the sample. The value of corresponding…

Superconductivity · Physics 2009-10-15 Yu. N. Ovchinnikov , A. A. Varlamov

We discuss the long-time limit of the integrated current distribution for the one-dimensional zero-range process with open boundaries. We observe that the current fluctuations become site-dependent above some critical current and argue that…

Statistical Mechanics · Physics 2009-11-11 R. J. Harris , A. Rákos , G. M. Schuetz

We study the diffusion-limited reaction A + A <-> A in different spatial dimensions to observe the effect of internal fluctuations on the interface between stable and unstable phases. We find that, similar to what has been observed in d=1…

Statistical Mechanics · Physics 2009-11-07 Esteban Moro

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

We study how interacting localized degrees of freedom are affected by slow thermal fluctuations that change the effective local disorder. We compute the time-averaged (annealed) conductance in the insulating regime and find three distinct…

Disordered Systems and Neural Networks · Physics 2021-09-29 Valentina Ros , Markus Müller

Using the Markovian method, we study the stochastic nature of electrical discharge current fluctuations in the Helium plasma. Sinusoidal trends are extracted from the data set by the Fourier-Detrended Fluctuation analysis and consequently…

Statistical Mechanics · Physics 2011-04-21 S. Kimiagar , M. Sadegh Movahed , S. Khorram , M. Reza Rahimi Tabar

We study the probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a host of possible phase transitions both in and out of…

Statistical Mechanics · Physics 2017-01-25 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

Simulating the conditioned dynamics of diffusion processes, given their initial and terminal states, is an important but challenging problem in the sciences. The difficulty is particularly pronounced for rare events, for which the…

Machine Learning · Statistics 2026-04-23 Samuel Howard , Nikolas Nüsken , Jakiw Pidstrigach

We consider the fluctuation conductivity in the critical region of a disorder induced quantum phase transition in layered d-wave superconductors. We specifically address the fluctuation contribution to the system's conductivity in the limit…

Condensed Matter · Physics 2009-11-10 I. Tifrea , D. Bodea , I. Grosu , M. Crisan