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We study the deviations from the exponential decay law, both in quantum field theory (QFT) and quantum mechanics (QM), for an unstable particle which can decay in (at least) two decay channels. After a review of general properties of…

Nuclear Theory · Physics 2015-05-30 Francesco Giacosa

We force a single particle through a two-dimensional simulated glass. We find that the particle velocity obeys a robust power law that persists to drives well above threshold. As the single driven particle moves, it induces cooperative…

Soft Condensed Matter · Physics 2009-11-07 M. B. Hastings , C. J. Olson Reichhardt , C. Reichhardt

The departure of a granular gas in the instable region of parameters from the initial homogeneous cooling state is studied. Results from Molecular Dynamics and from Direct Monte Carlo simulation of the Boltzmann equation are compared. It is…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero

The decay of a quasiparticle in an isolated quantum dot is considered. At relatively small time the probability to find the system in the initial state decays exponentially: $P(t)\sim \exp(-\Gamma t)$, in accordance with the golden rule.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov

A system plus environment conservative model is used to characterize the nonlinear dynamics when the time averaged energy for the system particle starts to decay. The system particle dynamics is regular for low values of the $N$ environment…

Chaotic Dynamics · Physics 2009-10-20 Cesar Manchein , Jane Rosa , Marcus W. Beims

Prolongating our previous paper on the Einstein relation, we study the motion of a particle diffusing in a random reversible environment when subject to a small external forcing. In order to describe the long time behavior of the particle,…

Probability · Mathematics 2018-06-25 Pierre Mathieu , Andrey Piatnitski

We have demonstrated that it is possible to evaporate diradicals in a controlled environment obtaining thin films in which the diradical character is preserved. However, evaporation represents a challenge. The presence of two radical sites…

The standard cold dark matter cosmological model, while successful in explaining the observed large scale structure of the Universe, tends to overpredict structure on small scales. It has been proposed this problem may be alleviated in a…

High Energy Physics - Phenomenology · Physics 2011-03-21 Nicole F. Bell , Ahmad J. Galea , Raymond R. Volkas

A critical study of the wave mechanics of a particle trapped in a 1-D box having infinite potential walls and small flexibility in its size reveals its several important and hither to unknown aspects which could be relevant for better…

Materials Science · Physics 2009-04-03 Yatendra S. Jain

Fidelity decay is studied for quantum many-body systems with a dominant independent particle Hamiltonian resulting e.g. from a mean field theory with a weak two-body interaction. The diagonal terms of the interaction are included in the…

Other Condensed Matter · Physics 2007-08-06 Iztok Pizorn , Tomaz Prosen , Thomas H. Seligman

The operator of time formalism is applied to radioactive decay. It appears that the proposed approach offers better insight and understanding of the phenomena in a way that the decay exponential-law becomes the Boltzmann distribution in…

Quantum Physics · Physics 2017-07-14 Slobodan Prvanovic

While exponential decay is ubiquitous in Nature, deviations at both short and long times are dictated by quantum mechanics. Non-exponential decay is known to arise due to the possibility of reconstructing the initial state from the decaying…

Quantum Physics · Physics 2012-03-26 A. del Campo

We consider a simple cosmological model in order to show the importance of unstable particle creation for the validity of the semiclassical approximation. Using the mathematical structure of rigged Hilbert spaces we show that particle…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mario Castagnino , Susana Landau , Fernando C. Lombardo

The decoupling of a cold relic, during a decaying-particle-dominated cosmological evolution is analyzed, the relic density is calculated both numerically and semi-analytically and the results are compared with each other. Using plausible…

High Energy Physics - Phenomenology · Physics 2011-05-23 C. Pallis

We evaluate the rate of energy loss of a plasmon in a disorder-free carbon nanotube. The plasmon decays into neutral bosonic excitations of the electron liquid. The process is mediated either by phonon-assisted backscattering of a single…

Strongly Correlated Electrons · Physics 2011-09-12 Wei Chen , A. V. Andreev , E. G. Mishchenko , L. I. Glazman

Particle motion at the micro-scale is an incessant tug-of-war between thermal fluctuations and applied forces on one side, and the strong resistance exerted by fluid viscosity on the other. Friction is so strong that completely neglecting…

Statistical Mechanics · Physics 2015-06-05 Antonio Celani , Stefano Bo , Ralf Eichhorn , Erik Aurell

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Thin films, bubbles and membranes are central to numerous natural and engineering processes, i.e., in thin-film solar cells, coatings, biosensors, electrowetting displays, foams, and emulsions. Yet, the characterization and an adequate…

Fluid Dynamics · Physics 2024-07-18 Muhammad Rizwanur Rahman , Li Shen , James P. Ewen , D. M. Heyes , Daniele Dini , E. R. Smith

We show that two-dimensional systems of deformable particles undergo a continuous liquid-hexatic transition upon compression or cooling, but no hexatic-solid transition-even at zero temperature and high density. Numerical simulations reveal…

Soft Condensed Matter · Physics 2025-11-20 Jatin Kumar , Wu Zeng , Anshuman Pasupalak , Massimo Pica Ciamarra

We consider in this work a model conservative system subject to dissipation and Gaussian-type stochastic perturbations. The original conservative system possesses a continuous set of steady states, and is thus degenerate. We characterize…

Probability · Mathematics 2019-02-26 Wenqing Hu