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arXiv · 2006.15611

Phase space structure and escape time dynamics in a Van der Waals model for exothermic reactions

Francisco Gonzalez Montoya·Stephen Wiggins
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Abstract

We study the phase space structures that control the transport in a classical Hamiltonian model for a chemical reaction. This model has been proposed to study the yield of products in an ultracold exothermic reaction. In the considered model, two elements determine the evolution of the system: a Van der Waals force and short-range force associated with the many-body interactions. In the previous work has been used small random periodic changes in the direction of the momentum to simulate the short-range many-body interactions. In the present work, random Gaussian bumps have been added to the Van der Waals potential energy simulate the short-range effects between the particles in the system. We compare both variants of the model and explain their differences similarities and differences from a phase space perspective. In order to visualize the structures that direct the dynamics in the phase space, we construct a natural Lagrangian descriptor for Hamiltonian systems based on the Maupertuis action $S_0$.

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Francisco Gonzalez Montoya, Stephen Wiggins. 2020-06-28. Phase space structure and escape time dynamics in a Van der Waals model for exothermic reactions. https://doi.org/10.1103/physreve.102.062203

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