scholarly journals Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics

2016 ◽  
Vol 2016 (2) ◽  
Author(s):  
Yunqi Liu ◽  
Yungui Gong ◽  
Bin Wang
Keyword(s):  
Nonlinear Electrodynamics ◽  
Condensation Process ◽  
Holographic Superconductor ◽  
Non Equilibrium

scholarly journals Non-equilibrium condensation process in a holographic superconductor

2010 ◽  
Vol 2010 (7) ◽  
Author(s):  
Keiju Murata ◽  
Shunichiro Kinoshita ◽  
Norihiro Tanahashi
Keyword(s):  
Condensation Process ◽  
Holographic Superconductor ◽  
Non Equilibrium

scholarly journals Non-equilibrium field dynamics of an honest holographic superconductor

2012 ◽  
Vol 2012 (11) ◽  
Author(s):  
Xin Gao ◽  
Matthias Kaminski ◽  
Hua-Bi Zeng ◽  
Hai-Qing Zhang
Keyword(s):  
Holographic Superconductor ◽  
Non Equilibrium

scholarly journals Exponential nonlinear electrodynamics and backreaction effects on holographic superconductor in the Lifshitz black hole background

2017 ◽  
Vol 27 (01) ◽  
pp. 1750175 ◽  
Author(s):  
Z. Sherkatghanad ◽  
B. Mirza ◽  
F. Lalehgani Dezaki
Keyword(s):  
Black Hole ◽  
Critical Temperature ◽  
Critical Magnetic Field ◽  
Nonlinear Electrodynamics ◽  
Holographic Superconductor ◽  
Dynamical Exponent ◽  
Black Hole Background ◽  
Sturm Liouville ◽  
Lifshitz Black Hole ◽  
Exponential Nonlinear Electrodynamics

We analytically describe the properties of the s-wave holographic superconductor with the exponential nonlinear electrodynamics in the Lifshitz black hole background in four-dimensions. Employing an assumption the scalar and gauge fields backreact on the background geometry, we calculate the critical temperature as well as the condensation operator. Based on Sturm–Liouville method, we show that the critical temperature decreases with increasing exponential nonlinear electrodynamics and Lifshitz dynamical exponent, [Formula: see text], indicating that condensation becomes difficult. Also we find that the effects of backreaction has a more important role on the critical temperature and condensation operator in small values of Lifshitz dynamical exponent, while [Formula: see text] is around one. In addition, the properties of the upper critical magnetic field in Lifshitz black hole background using Sturm–Liouville approach is investigated to describe the phase diagram of the corresponding holographic superconductor in the probe limit. We observe that the critical magnetic field decreases with increasing Lifshitz dynamical exponent, [Formula: see text], and it goes to zero at critical temperature, independent of the Lifshitz dynamical exponent, [Formula: see text].

scholarly journals Неравновесная кинетика начальной стадии фазового перехода

2020 ◽  
Vol 62 (1) ◽  
pp. 40
Author(s):  
Г.И. Змиевская
Keyword(s):  
Phase Transition ◽  
Transition Probability ◽  
Kinetic Equations ◽  
Elastic Interaction ◽  
Distribution Functions ◽  
Condensation Process ◽  
Stochastic Dynamic ◽  
Transition Probability Density ◽  
Temporal Structures ◽  
Non Equilibrium

Kinetic partial differential equations of Kolmogorov-Feller and Einstein-Smoluchowski equation with nonlinear coefficients are solved by a new, stable numerical methods. The theory of stochastic dynamic variables establishes the connection of the solution of Ito stochastic equations in the sense of Stratonovich for the trajectories of Wiener random processes with the transition probability density of these processes, or distribution functions of kinetic equations. The classical theory of nucleation (formation of nuclei of the first order phase transition) describes a non-equilibrium stage of the condensation process by a diffusion random process in the space of the size of the nuclei of the phase transition, when fluctuations affect the clustering of the nuclei. The model of formation of vacancy-gas defects (pores, blisters) in the crystal lattice, arising as a result of its irradiation by inert gas ions xenon, is supplemented by the consideration of Brownian motion of non-point lattice defects, occurring under the action of superposition of paired long-range potentials of indirect elastic interaction of pores between themselves and with the boundaries of the layers. Pores coordinates are changing at times of the order of 10 − 100 ms, sustainable algorithms for calculating which provide a self-consistent defnition spatial - temporal structures of porosity in the sample. According to calculations of 106 trajectories, non-equilibrium kinetic functions were found. Pores distribution in size and coordinates in the layers of the irradiated materials, they characterize the fluctuation instability the initial stage of the phase transition, they are estimated local stresses and porosity in the model volume.

scholarly journals Holographic entanglement entropy in general holographic superconductor models with logarithmic nonlinear electrodynamics

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Weiping Yao ◽  
Qiong Yang ◽  
Xiaobao Liu ◽  
Jiliang Jing
Keyword(s):  
Phase Transition ◽  
General Feature ◽  
Chemical Potential ◽  
Entanglement Entropy ◽  
Phase Transition Point ◽  
Nonlinear Electrodynamics ◽  
Holographic Superconductor ◽  
Holographic Entanglement Entropy ◽  
Deconfinement Phase Transition ◽  
Second Order Phase Transition

AbstractWe explore the behaviors of the holographic entanglement entropy (HEE) in holographic superconductor models with logarithmic nonlinear electrodynamics (LNE) both in AdS soliton and in AdS black hole backgrounds. We observe that the slope of the HEE at the phase transition point behaves discontinuously for different LNE parameters b and geometry parameters $$\ell $$ ℓ , which may be a quite general feature for the second order phase transition. Moreover, at the critical point, the stronger nonlinearity of the LNE gives rise to the smaller HEE in metal/superconductor while leaves the HEE in insulator/superconductor model as is. Interestingly, the behavior of the HEE also implies a “confinement/deconfinement” phase transition in the insulator/superconductor model, and the critical width of the phase transition depends on the chemical potential and the strength of the LNE.

scholarly journals Non-equilibrium phase and entanglement entropy in 2D holographic superconductors via gauge–string duality

2016 ◽  
Vol 94 (10) ◽  
pp. 1102-1111
Author(s):  
Najmeh Al Sadat Mazhari ◽  
Davood Momeni ◽  
Ratbay Myrzakulov ◽  
Hosein Gholizade ◽  
Muhammad Raza
Keyword(s):  
Entanglement Entropy ◽  
Equilibrium Phase ◽  
Approximate Solutions ◽  
Dynamical Instability ◽  
Holographic Superconductor ◽  
Maxwell Fields ◽  
Normal Mass ◽  
Definition Of ◽  
Log Ratio ◽  
Non Equilibrium

An alternative method of developing the theory of non-equilibrium two-dimensional holographic superconductor is to start from the definition of a time-dependent AdS3 background. As originally proposed, many of these formulae were cast in exponential form, but the adoption of the numeric method of expression throughout the bulk serves to show more clearly the relationship between the various parameters. The time dependence behavior of the scalar condensation and Maxwell fields are fitted numerically. A usual value for Maxwell field on AdS horizon is exp(–bt), and the exponential log ratio is therefore 10−8 s−1. The coefficient b of the time in the exponential term exp(–bt) can be interpreted as a tool to measure the degree of dynamical instability; its reciprocal 1/b is the time in which the disturbance is multiplied in the ratio. A discussion of some of the exponential formulae is given by the scalar field ψ(z, t) near the AdS boundary. It may be possible that a long interval would elapse in the system, which tends to the equilibrium state, where the normal mass and conformal dimensions emerged. A somewhat curious calculation has been made to illustrate the holographic entanglement entropy for this system. The foundation of all this calculation is, of course, a knowledge of multiple (connected and disconnected) extremal surfaces. There are several cases in which exact and approximate solutions are jointly used; a variable numerical quantity is represented by a graph, and the principles of approximation are then applied to determine related numerical quantities. In the case of the disconnected phase with a finite extremal area, we find a discontinuity in the first derivative of the entanglement entropy as the conserved charge J is increased.

scholarly journals Notes on holographic superconductor models with the nonlinear electrodynamics

2013 ◽  
Vol 871 (1) ◽  
pp. 98-110 ◽  
Author(s):  
Zixu Zhao ◽  
Qiyuan Pan ◽  
Songbai Chen ◽  
Jiliang Jing
Keyword(s):  
Nonlinear Electrodynamics ◽  
Holographic Superconductor

scholarly journals Effects of the Wet Steam Non-Equilibrium Condensation on the Dynamics of the Excitation-Relying Bearing-Rotor system

2018 ◽  
Vol 179 ◽  
pp. 01005
Author(s):  
Bing Guo ◽  
Weixiao Tang ◽  
Tianhui Zhen
Keyword(s):  
Coupled Model ◽  
Coupled System ◽  
Rotor System ◽  
Rotor Blades ◽  
Condensation Process ◽  
Wet Steam ◽  
Bearing Stiffness ◽  
Stiffness And Damping ◽  
Intense Vibration ◽  
Non Equilibrium

This paper investigated the effects of the wet steam non-equilibrium condensation on the dynamic characteristics of the bearing as well as the bearing-rotor system by constructing and analyzing a non-linear coupled model of the bearing-rotor system. An excitation-relying dynamic model of bearing is established based on the finite difference method, in which the excitation is converted from the pressure pulsation on the surface of rotor blades generated from the non-equilibrium condensation process. The Raccia transfer matrix method is implemented to analyse the dynamic behavior of this coupled system. Results show that the wet steam non-equilibrium condensation process would greatly reduce the bearing stiffness and damping and result in more intense vibration of the system, besides, its induced pulsed displacement would drive the excitation-relying bearing-rotor system more unstable.

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