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The amplitude and probability of quantum transitions are represented as a path integrals in energy state space of the investigated multi-level quantum system. Using this approach we consider rotational dynamics of nitrogen molecules…

Quantum Physics · Physics 2014-07-16 Alexander Biryukov , Mark Shleenkov

Emergent non-reciprocal interactions violating Newton's third law are widespread in out-of-equilibrium systems. Phase separating mixtures with such interactions exhibit travelling states with no equilibrium counterpart. Using extensive…

Statistical Mechanics · Physics 2024-07-10 Rituparno Mandal , Santiago Salazar Jaramillo , Peter Sollich

This article focuses on isomerizations of molecules, i.e. chemical reactions during which a molecule is transformed into another one with the same atoms in a different spatial configuration. We consider the special case in which the system…

Mathematical Physics · Physics 2023-03-15 Ioannis Anapolitanos , Marco Olivieri , Sylvain Zalczer

In the framework of the interacting boson model the three transitional regions (rotational-vibrational, rotational-$\gamma$-unstable and, vibrational-$\gamma$-unstable transitions) are reanalyzed. A new kind of plot is presented for…

Nuclear Theory · Physics 2012-07-30 J. E. Garcia-Ramos , C. De Coster , R. Fossion , K. Heyde

The dynamics of non-polar diatomic molecules interacting with a far-detuned narrow-band laser field, that only may drive rotational transitions, is studied. The rotation of the molecule is considered both classically and quantum…

Quantum Physics · Physics 2009-11-10 A. Adelswaerd , S. Wallentowitz

Deviations of molecular shapes from spherical symmetry may give rise to a variety of novel phenomena, including their dynamic behavior. It has recently been predicted [Mazza \textit{et al}. Phys. Rev. Lett. \textbf{105}, 227802 (2010)] that…

The method of molecular dynamics is used to study behavior of a ultracold non-ideal ion-electron Be plasma in a uniform magnetic field. Our simulations yield an estimate for the rate of electron-ion collisions which is…

Plasma Physics · Physics 2018-01-17 I. L. Isaev , A. P. Gavriliuk

A thorough analysis is performed to find traveling waves in a qualitative reaction-diffusion system inspired by a predator-prey model. We provide rigorous results coming from a standard local stability analysis, numerical bifurcation…

Chaotic Dynamics · Physics 2022-11-09 Edgardo Villar-Sepúlveda , Pablo Aguirre , Víctor F. Breña-Medina

Synthetic nanoscale complexes capable of mechanical movement are often studied theoretically using discrete-state models that involve instantaneous transitions between metastable states. A number of general results have been derived within…

Statistical Mechanics · Physics 2012-12-21 Dibyendu Mandal , Christopher Jarzynski

A mechanism is considered for generating doorway states and intermediate structure in low-energy nuclear reactions as a result of collectivization of widths of unstable intrinsic states coupled to common decay channels. At the limit of…

Nuclear Theory · Physics 2008-11-26 N. Auerbach , V. Zelevinsky

Dinuclear systems that occur in the post-saddle to scission stage in nuclear fission process are special transient formations. The diabatic evolution at this stage is studied using the methods of non-equilibrium thermodynamics. A novel…

Nuclear Theory · Physics 2023-05-01 Bency John

Topological phase transitions can occur in the dissipative dynamics of a quantum system when the ratio of matrix elements for competing transport channels is varied. Here we establish a relation between such behavior in a class of…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 M. S. Rudner , L. S. Levitov

The relationship between the shape of a molecule and its chemical reactivity is a central tenet in chemistry. However, the influence of the molecular geometry on reactivity can be subtle and result from several opposing effects. Using a…

Chemical Physics · Physics 2024-01-23 L. Ploenes , P. Straňák , A. Mishra , X. Liu , J. Pérez-Ríos , S. Willitsch

In this paper we unveil the geometrical template of phase space structures that governs transport in a Hamiltonian system described by a potential energy surface with an entrance/exit channel and two wells separated by an index-1 saddle.…

Chaotic Dynamics · Physics 2020-07-29 M. Katsanikas , V. J. García-Garrido , M. Agaoglou , S. Wiggins

We study the translational motions of homonuclear diatomic molecules prepared in their ${}^3\Sigma$ electronic states, deeply bound vibrational states, and rotational states of well-defined parity. The trapping potential arises due to the…

Mathematical Physics · Physics 2026-03-05 Yurij Yaremko , Maria Przybylska , Andrzej J. Maciejewski

A transition state for a Hamiltonian system is a closed, invariant, oriented, codimension-2 submanifold of an energy-level that can be spanned by two compact codimension-1 surfaces of unidirectional flux whose union, called a dividing…

Chaotic Dynamics · Physics 2014-04-18 Robert S MacKay , Dayal C Strub

Non-interacting particles in non-Hermitian quasi crystals display localization-delocalization and spectral phase transitions in complex energy plane, that can be characterized by point-gap topology. Here we investigate the spectral and…

Quantum Physics · Physics 2025-04-10 Stefano Longhi

A semicalssical method based on surface-hopping techniques is developed to model the dynamics of radiative association with electronic transitions in arbitrary polyatomic systems. It can be proven that our method is an extension of the…

Chemical Physics · Physics 2017-10-11 Péter Szabó , Magnus Gustafsson

We report numerical results for the hydrodynamics of inhomogeneous lyotropic and extensile active nematic gels. By simulating the coupled Cahn-Hilliard, Navier-Stokes, and Beris-Edwards equation for the evolution of the composition, flow…

Soft Condensed Matter · Physics 2023-01-06 Renato Assante , Dom Corbett , Davide Marenduzzo , Alexander Morozov

In this work, we analyze the evolution of the phase-space structures of KCN molecular system as a function of the vibrational energy using Lagrangian descriptors. For low energies, the motion is mostly regular around the absolute minimum of…

Chaotic Dynamics · Physics 2024-05-07 F. Revuelta , F. J. Arranz , R. M. Benito , F. Borondo