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Thermodynamics under the impact of thermal fluctuations and quasi-normal modes of Euler-Heisenberg AdS BH in the framework of NLED

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Chinese Physics C 2023年第11期47卷 145-166页

作者： R.H.Ali G.Abbas Department of Mathematics The Islamia University of BahawalpurBahawalpur Pakistan

We study the impact of thermal fluctuations on the thermodynamics,quasi-normal modes,and phase transitions of an anti-de Sitter Euler-Heisenberg black hole(BH)with a nonlinear electrodynamic *** anti-de Sitter Euler-Heisenberg BH with a nonlinear electrodynamic field is composed of four parameters:the mass,electric charge,cosmological constant,and Euler-Heisenberg *** calculate thermodynamic variables such as Hawking temperature,entropy,volume,and specific heat,which comply with the first law of ***,we use this BH to determine the thermodynamics and thermal fluctuations with the Euler-Heisenberg parameter to distinguish their effect on uncorrected and corrected thermodynamical *** derive the expression for corrected entropy to study the impact of thermal fluctuation with simple logarithmic corrections on unmodified thermodynamical potentials,including Helmholtz energy,pressure,Gibbs free energy,and *** Euler-Heisenberg parameter improves BH stability at large ***,we analyze the local stability of the proposed BH,and the phase shifts of the BH are also investigated using temperature and specific *** there is a decrease in charge and an increase in r_(+)andα,the temperature shifts from an unstable region to a stable ***,increases in local stability are observed with each of these ***,we use null geodesics to deal with the effects of nonlinear electrodynamics on the quasi-normal modes of the Euler-Heisenberg anti-de Sitter *** null geodesics provide the angular velocity and Lyapunov exponent of the photon sphere,which are the same as the real and imaginary parts of the quasi-normal modes in the eikonal limit.

关键词： thermodynamics thermal fluctuation quasi normal modes and phase transition

On the stochastic dynamics of molecular conformation

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第9期8卷 1401-1407页

作者： DENG Mao-lin ZHU Wei-qiu Department of Mechanics State Key Laboratory of Fluid Power Transmission and Control Zhejiang University Hangzhou 310027 China

An important functioning mechanism of biological macromolecules is the transition between different conformed states due to thermal fluctuation. In the present paper, a biological macromolecule is modeled as two strands with side chains facing each other, and its stochastic dynamics including the statistics of stationary motion and the statistics of conformational transition is studied by using the stochastic averaging method for quasi Hamikonian systems. The theoretical results are confirmed with the results from Monte Carlo simulation.

关键词： Biological macromolecule thermal fluctuation Stationary statistics Transition time Stochastic averaging method

On the origin of intrinsic randomness of Rayleigh-Benard turbulence

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Science China(Physics,Mechanics & Astronomy) 2017年第1期60卷 42-54页

作者： ZhiLiang Lin LiPo Wang ShiJun Liao School of Naval Architecture Ocean and Civil Engineering Shanghai Jiaotong University Shanghai 200240 China UM-SJTU Joint Institute Shanghai Jiaotong University Shanghai 200240 China Ministry-of-Education Key Laboratory in Scientific and Engineering Computing Shanghai 200240 China

It is of broad interest to understand how the evolution of non-equilibrium systems can be triggered and the role played by external perturbations. A famous example is the origin of randomness in the laminar-turbulence transition, which is raised in the pipe flow experiment by Reynolds as a century old unresolved problem. Although there exist different hypotheses, it is widely believed that the randomness is "intrinsic", which, however, remains as an open question to be verified. Simulating the modeled RayleighB′enard convection system by means of the so-called clean numerical simulation(CNS) with negligible numerical noises that are smaller even than thermal fluctuation, we verify that turbulence can be self-excited from the inherent thermal fluctuation without any external disturbances, i.e. out of nothing. This reveals a relationship between microscopic physical uncertainty and macroscopic randomness. It is found that in physics the system nonlinearity functions as a channel for randomness information,and energy as well, to transport microscopic uncertainty toward large scales. Such scenario can generally be helpful to understand the various relevant phenomena. In methodology, compared with direct numerical simulation(DNS), CNS opens a new direction to investigate turbulent flows with largely improved accuracy and reliability.

关键词： turbulence chaos thermal fluctuation clean numerical simulation