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Ab initio generalized Langevin equation. [PDF]
Proc Natl Acad Sci U S AWe introduce a machine learning–based approach called ab initio generalized Langevin equation (AIGLE) to model the dynamics of slow collective variables (CVs) in materials and molecules. In this scheme, the parameters are learned from atomistic simulations based on ab initio quantum mechanical models. Force field, memory kernel, and noise generator are
Xie P, Car R, E W.
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Derivation of the Langevin Equation from the Microcanonical Ensemble [PDF]
EntropyWhen writing down a Langevin equation for the time evolution of a “system” in contact with a thermal bath, one typically makes the implicit (and often tacit) assumption that the thermal environment is in equilibrium at all times.
Ralf Eichhorn
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On a fractional differential equation with fractional boundary conditions [PDF]
Mathematics and Computational Sciences, 2023 In this article, we study a new nonlinear Langevin equation of two fractional orders with fractional boundary value conditions which is a generalization of previous Langevin equations.
Yasser Khalili, Milad Yadollahzadeh
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Kernel controlled real-time Complex Langevin simulation [PDF]
EPJ Web of Conferences, 2022 This study explores the utility of a kernel in complex Langevin simulations of quantum real-time dynamics on the Schwinger-Keldysh contour. We give several examples where we use a systematic scheme to find kernels that restore correct convergence of ...
Alvestad Daniel +2 more
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Axioms, 2022 The fractional Langevin equation has more advantages than its classical equation in representing the random motion of Brownian particles in complex viscoelastic fluid.
Kaihong Zhao
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Fractal and Fractional, 2022 The fractional Langevin equation is a very effective mathematical model for depicting the random motion of particles in complex viscous elastic liquids. This manuscript is mainly concerned with a class of nonlinear fractional Langevin equations involving
Kaihong Zhao
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AIP Advances, 2023 The magnetic hysteresis curve can provide information about magnetic properties, particle size, and its distribution. For superparamagnetic materials, the characteristics of the hysteresis curve are very typical, that is, Hc is equal to zero with a ...
Togar Saragi +5 more
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q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions
Mathematics, 2023 The major goal of this manuscript is to investigate the existence, uniqueness, and stability of a q-fractional Langevin differential equation with q-fractional integral conditions.
Wuyang Wang +4 more
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Fractional Langevin Equation [PDF]
Physical Review E, 2001 We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both sub- and superdiffusion of a free particle coupled to a fractal heat bath. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of
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Equation of state from complex Langevin simulations [PDF]
EPJ Web of Conferences, 2022 We use complex Langevin simulations to study the QCD phase diagram with two light quark flavours. In this study, we use Wilson fermions with an intermediate pion mass of ∼ 480MeV. By studying thermodynamic quantities, in particular at lower temperatures,
Attanasio Felipe +2 more
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