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A new simplified ordered upwind method for calculating quasi-potential

Chinese Physics B 2022年第1期31卷 179-186页

作者： Qing Yu Xianbin Liu State Key Laboratory of Mechanics and Control for Mechanical Structures College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016China

We present a new method for calculation of quasi-potential,which is a key concept in the large deviation *** method adopts the"ordered"idea in the ordered upwind algorithm and different from the finite difference upwind scheme,the first-order line integral is used as its update *** sufficient accuracy,the new simplified method can greatly speed up the computational *** the quasi-potential has been computed,the minimum action path(MAP)can also be *** the MAP is of concern in most stochastic situations,the effectiveness of this new method is checked by analyzing the accuracy of the *** cases of isotropic diffusion and anisotropic diffusion are *** is found that this new method can both effectively compute the MAPs for systems with isotropic diffusion and reduce the computational *** anisotropy will affect the accuracy of the computed MAP.

关键词： quasi-potential ordered upwind algorithm minimum action path isotropic diffusion and anisotropic diffusion

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Applying the Modified Perturbation Theory to High Energy Scattering in the quasi-potential Approach

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Journal of Physical Science and Application 2017年第4期7卷 47-58页

作者： Nguyen Suan Han Nguyen NhuXuan Vu ToanThang Department of Theoretical Physics Hanoi National University344 Nguyen Trai Street 1000 Hanoi Vietnam Department of Physics Le Qui Don University 236 Hoang Quoc Viet Street 10000 Hanoi Vietnam

Asymptotic behavior of the scattering amplitude for two scalar particles at high energy and fixed momentum transfer is reconsidered in quantum field theory. In the framework of the quasi-potential approach and the modified perturbation theory, a systematic scheme for finding the leading eikonal scattering amplitudes and its corrections are developed and constructed. The differential cross section is also discussed.

关键词： Scattering quasi-potential eikonal.

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On the extinction route of a stochastic population model under heteroclinic bifurcation

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Acta Mechanica Sinica 2022年第1期38卷 59-69页

作者： Qing Yu Yang Li Xianbin Liu State Key Laboratory of Mechanics and Control for Mechanical Structures College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016China School of Automation Nanjing University of Science and TechnologyNanjing 210094China

The noise-induced transition of the augmented Lotka-Volterra system is investigated under vanishingly small *** will ultimately go extinct because of intrinsic noise,and different extinction routes may occur due to the Freidlin-Wentzell large deviation *** relation between the most probable extinction route(MPER)and heteroclinic bifurcation is studied in this *** MPERs and the quasi-potentials in different regimes of parameters are analyzed in *** the bifurcation,the predator goes extinct,and the prey will survive for a long ***,the heteroclinic bifurcation changes the MPER wherein both species go *** heteroclinic cycle plays a role in transferring the most probable extinction ***,the analyses of the weak noise limit can contribute to predicting the stochastic behavior under finite small *** the heteroclinic bifurcation and the rotational deterministic vector field can reduce the action necessary for the MPER.

关键词： Lotka-Volterra system Most probable extinction route Heteroclinic bifurcation quasi-potential

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