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Exact solutions of time-dependent Schr\"odinger equation in presence of time-dependent potential is defined by point transformation and separation of variables. Energy and Heisenberg uncertainty relation are pursued for time-independent…

Quantum Physics · Physics 2021-11-04 Debraj Nath

This article studies Markovian stochastic motion of a particle on a graph with finite number of nodes and periodically time-dependent transition rates that satisfy the detailed balance condition at any time. We show that under general…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Vladimir Y. Chernyak , John R. Klein , Nikolai A. Sinitsyn

A phenomenological model for a measurement of barrier traversal times for particles is proposed. Two idealized detectors for passage and arrival provide entrance and exit times for the barrier traversal. The averaged traversal time is…

Quantum Physics · Physics 2009-10-31 J. P. Palao , J. G. Muga , S. Brouard , A. Jadczyk

In this paper, the tunnelling of a particle through a potential barrier is investigated in the presence of a time-dependent perturbation. The latter is attributed to the process of the energy measurement of the scattered particle. The…

Quantum Physics · Physics 2022-03-10 Luca Nanni

This paper focuses on the problem of the degree sequence for a mixed random graph process which continuously combines the {\it classical} model and the BA model. Note that the number of step added edges for the mixed model is random and…

Probability · Mathematics 2009-01-13 Xian-Yuan Wu , Zhao Dong , Ke Liu , Kai-Yuan Cai

Nuclear fission at barrier-top energies is conventionally modeled by a one-dimensional Schr\"odinger equation applied to internal fission channels, but that treatment is hard to justify in the configuration-interaction approach to nuclear…

Nuclear Theory · Physics 2024-11-11 K. Hagino , G. F. Bertsch

In this overview we provide a general introduction to metal-insulator transitions, with focus on specific mechanisms that can localize the electrons in absence of magnetic or charge ordering, and produce well defined quantum critical…

Strongly Correlated Electrons · Physics 2011-12-30 V. Dobrosavljevic

Fusion-based metal additive manufacturing (AM) is a disruptive technology that can be employed to fabricate metallic component of near-net-shape with an unprecedented combination of superior properties. However, the interrelationship…

Materials Science · Physics 2022-08-03 Yijia Gu , Lianyi Chen

When two solids are separated by a vacuum gap of thickness smaller than the wavelength of acoustic phonons, the latter can tunnel across the gap thanks to van der Waals forces or electrostatic interactions. Here we show that these…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Mauricio Gómez Viloria , Yangyu Guo , Samy Merabia , Riccardo Messina , Philippe Ben-Abdallah

Steady-state and transient antiplane dynamic processes in a structured solids consisting of uniform periodic square-cell lattices connected by a lattice layer of different bond stiffnesses and point masses are analyzed. A semi-infinite…

Materials Science · Physics 2011-12-12 Grigory Osharovich , Mark Ayzenberg-Stepanenko

The dynamics of few two-level atoms interacting with one cavity mode is described in master equation formalism. Two different configurations are considered: a transient one with all atoms initially in the excited state and a stationary one…

Optics · Physics 2013-11-18 Paolo Schwendimann , Antonio Quattropani

We investigate the tagged-particle motion in a strongly interacting quasi-confined liquid using periodic boundary conditions along the confining direction. Within a mode-coupling theory of the glass transition (MCT) we calculate the…

Soft Condensed Matter · Physics 2021-09-14 Lukas Schrack , Charlotte F. Petersen , Michele Caraglio , Gerhard Jung , Thomas Franosch

Understanding the physics of glass formation remains one of the major unsolved challenges of condensed matter science. As a material solidifies into a glass, it exhibits a spectacular slowdown of the dynamics upon cooling or compression,…

Statistical Mechanics · Physics 2018-10-03 Liesbeth M. C. Janssen

A novel mechanism for the appearance of oriented processes is investigated with a flexible dynamical system overcoming barriers. Under non-equilibrium condition with external driving, reaction paths deviate from that at equilibrium with an…

Statistical Mechanics · Physics 2009-11-10 Naoko Nakagawa , Teruhisa S. Komatsu

A rigorous theory of liquid-crystal transitions is developed starting from the Liouville equation. The starting point is an all-atom description and a set of order parameter field variables that are shown to evolve slowly via Newton's…

Soft Condensed Matter · Physics 2010-01-05 Zeina Shreif , Stephen Pankavich , Peter Ortoleva

The interaction of a suspension of rotating colloids with a periodically patterned structure is here investigated by means of continuum theoretical predictions and hydrodynamic simulations. Close to the obstacle surface, rotors circulate…

Statistical Mechanics · Physics 2025-08-22 Joscha Mecke , Yongxiang Gao , Marisol Ripoll

Muon ionization cooling involves passing particles through solid or liquid absorbers. Careful simulations are required to design muon cooling channels. New features have been developed for inclusion in the transfer map code COSY Infinity to…

Accelerator Physics · Physics 2018-08-15 Josiah Kunz , Pavel Snopok , Martin Berz , Kyoko Makino

In this article we examine the dynamics of a colloidal particle driven by a modulated force over a sinusoidal optical potential energy landscape. Coupling between the competing frequencies of the modulated drive and that of particle motion…

A recently developed model that unifies the ballistic and diffusive transport mechanisms is applied in a theoretical study of carrier transport across potential barriers at grain boundaries in microcrystalline semiconducting materials. In…

Materials Science · Physics 2009-11-07 T. Weis , R. Lipperheide , U. Wille , S. Brehme

We investigate the behavior of colloidal suspensions with different volume fractions confined between parallel walls under a range of steady shears. We model the particles using molecular dynamics (MD) with full hydrodynamic interactions…

Soft Condensed Matter · Physics 2014-09-18 Frances E. Mackay , Kyle Pastor , Mikko Karttunen , Colin Denniston