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The physics of Josephson tunnel junctions drastically depends on their geometrical configurations. The shape of the junction determines the specific form of the magnetic-field dependence of the its Josephson current. Here we address the…

Superconductivity · Physics 2016-06-09 Roberto Monaco

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

Statistical Mechanics · Physics 2015-05-13 D. Andrieux , P. Gaspard

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

Quantum Physics · Physics 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts

The flux-flow dynamics in a long Josephson junction is studied both analytically and numerically. A realistic model of the junction is considered by taking into account a nonuniform current distribution, surface losses and self-pumping…

Superconductivity · Physics 2013-05-29 Marek Jaworski

Short ballistic graphene Josephson junctions sustain superconducting current with a non-sinusoidal current-phase relation up to a critical current threshold. The current-phase relation, arising from proximitized superconductivity, is…

Mesoscale and Nanoscale Physics · Physics 2020-01-09 Francesco M. D. Pellegrino , Giuseppe Falci , Elisabetta Paladino

We review three different approaches to investigate the non-equilibrium stochastic dynamics of a Josephson junction affected by L\'evy-distributed current fluctuations. First, we study the lifetime in the metastable superconducting state of…

Superconductivity · Physics 2025-01-30 Claudio Guarcello

Thermodynamics and transport properties of resistance-shunted Josephson junctions are studied theoretically in the tight-binding limit E_C/E_J<<1, where E_C and E_J are a charging energy and a Josephson coupling energy respectively. Based…

Superconductivity · Physics 2007-05-23 Takeo Kato , Masatoshi Imada

We study the resistive transition in Josephson-junction arrays at $f=1/2$ flux quantum per plaquette by dynamical simulations of the resistively-shunted-junction model. The current-voltage scaling and critical dynamics of the phases are…

Superconductivity · Physics 2009-11-10 Enzo Granato , Daniel Dominguez

The dynamical vortex response of a two-dimensional array of the resistively shunted Josephson junctions in a perpendicular magnetic field is inferred from simulations. It is found that, as the magnetic field is increased at a fixed…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Petter Minnhagen

Networked dynamical systems, i.e., systems of dynamical units coupled via nontrivial interaction topologies, constitute models of broad classes of complex systems, ranging from gene regulatory and metabolic circuits in our cells to…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Xiaozhu Zhang , Marc Timme

A nondissipative supercurrent state of a Josephson junction is metastable with respect to the formation of a finite-resistance state. This transition is driven by fluctuations, thermal at high temperatures and quantum at low temperatures.…

Superconductivity · Physics 2016-01-06 D. S. Antonenko , M. A. Skvortsov

We calculate the phase, the temperature and the junction length dependence of the supercurrent for ballistic graphene Josephson-junctions. For low temperatures we find non-sinusoidal dependence of the supercurrent on the superconductor…

Superconductivity · Physics 2010-10-13 I. Hagymási , A. Kormányos , J. Cserti

We have studied the switching behaviour of a small capacitance Josephson junction both in experiment, and by numerical simulation of a model circuit. The switching is a comples process involving the transition between two dynamical states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joachim Sjostrand , Jochen Walter , David Haviland , Hans Hansson , Anders Karlhede

We consider the finite-frequency response of multiterminal Josephson junctions and show how non-reciprocity in them can show up at linear response, in contrast to the static Josephson diodes featuring non-linear non-reciprocity. At finite…

Superconductivity · Physics 2024-01-24 Pauli Virtanen , Tero T. Heikkilä

We discuss the statistics of heat current between two superconductors at different temperatures connected by a generic weak link. As the electronic heat in superconductors is carried by Bogoliubov quasiparticles, the heat transport…

Superconductivity · Physics 2015-03-02 P. Virtanen , F. Giazotto

We present a classical analysis of the transient response of Josephson junctions perturbed by microwaves and thermal fluctuations. The results include a specific low frequency modulation in phase and amplitude behavior of a junction in its…

Superconductivity · Physics 2007-05-23 Jeffrey E. Marchese , Matteo Cirillo , Niels Grønbech-Jensen

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

Statistical Mechanics · Physics 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

Using a generalisation of the detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, we recover the fluctuation theorem for the large deviation funtion of the…

Statistical Mechanics · Physics 2009-11-13 T. Bodineau , B. Derrida

A new picture of the Josephson effect is devised. The radio-frequency (RF) signal, observed in a Josephson junction, is shown to stem from bound electrons, tunneling periodically through the insulating film. This holds also for the…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous

General aspects of the Fluctuation-Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the…

Statistical Mechanics · Physics 2008-09-01 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lamberto Rondoni , Angelo Vulpiani
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