Precise decay rate estimates for time-dependent dissipative systems

2000 ◽  
Vol 119 (1) ◽  
pp. 291-324 ◽  
Author(s):  
Patrick Martinez
Keyword(s):  
Decay Rate ◽  
Time Dependent ◽  
Dissipative Systems

General decay rate estimates for viscoelastic dissipative systems

2008 ◽  
Vol 68 (1) ◽  
pp. 177-193 ◽  
Author(s):  
M.M. Cavalcanti ◽  
V.N. Domingos Cavalcanti ◽  
P. Martinez
Keyword(s):  
Decay Rate ◽  
General Decay ◽  
Dissipative Systems ◽  
General Decay Rate

Time-dependent decay rate and angular distribution of the scission neutrons by a dynamical approach

2019 ◽  
Vol 28 (11) ◽  
pp. 1950103 ◽  
Author(s):  
N. Carjan ◽  
M. Rizea
Keyword(s):  
Angular Distribution ◽  
Decay Rate ◽  
Neutron Emission ◽  
Strong Dependence ◽  
Nuclear Fission ◽  
Wave Functions ◽  
Time Dependent ◽  
Dynamical Model ◽  
Number Formula ◽  
New Interpretation

A dynamical model is employed to determine some peculiar properties of the scission neutrons, i.e., those emitted at the rupture of the neck between the fragments during low energy nuclear fission. Thus, by a specially adapted procedure, we calculate the time-dependent decay rate. This, defines the character of the emission process: pulsed or exponentially. From the time dependence of the survival probability, we deduced the “half-life” of the scission neutron emission. The angular distribution of the scission neutrons with respect to the fission axis is calculated as well. This is obtained for sets of neutron wave functions defined by a given quantum number [Formula: see text] (projection of the total angular momentum on the symmetry axis). A strong dependence on [Formula: see text] was found, namely, wave functions with different [Formula: see text] have different most probable emission angles: from emission along the fission axis (1/2) to emission perpendicular to the fission axis (9/2). This result leads to a new interpretation of the measured angular distribution of the prompt fission neutrons. Finally, an extension of the dynamical model (i.e., with a time-dependent potential also after scission) is presented.

THE FRACTIONAL CALCULUS OF VARIATIONS FROM EXTENDED ERDÉLYI-KOBER OPERATOR

2009 ◽  
Vol 23 (16) ◽  
pp. 3349-3361 ◽  
Author(s):  
AHMAD RAMI EL-NABULSI
Keyword(s):  
Fractional Calculus ◽  
Harmonic Oscillator ◽  
Calculus Of Variations ◽  
Fractional Derivatives ◽  
Time Dependent ◽  
Dissipative Systems ◽  
Hamilton Equations ◽  
Different Types ◽  
Fractional Calculus Of Variations ◽  
Dependent Mass

Fractional calculus of variations (FCV) has recently attracted considerable attention as it is deeply related to the fractional quantization procedure. In this work, the FCV from extended Erdélyi-Kober fractional integral is constructed. Our main goal is to exhibit a general treatment for dissipative systems, in particular the harmonic oscillator (HO) that has time-dependent mass and time-dependent frequency. The general linear equation of damped Erdélyi-Kober harmonic oscillator is constructed from which a time-dependent mass generalized law was derived exhibiting different types of behavior. This relatively new time-dependent mass law permits us to point out several possible cases simultaneously in contrast to many models discussed in the literature and without making use of any types of fractional derivatives. Some results on Hamiltonian part, namely Hamilton equations for the damped HO were obtained and discussed in detail.

FLAVOR CONSERVATION, MICRO-CAUSALITY AND GSI ANOMALY

2012 ◽  
Vol 27 (18) ◽  
pp. 1250093
Author(s):  
SHU-JUN RONG ◽  
QIU-YU LIU
Keyword(s):  
Perturbation Theory ◽  
Decay Rate ◽  
Electron Capture ◽  
Time Scale ◽  
Time Dependent ◽  
Total Amplitude ◽  
Mass Eigenstates ◽  
Total Decay Rate ◽  
Flavor Violation ◽  
The Right

The GSI anomaly brings the theoretical controversy whether the total amplitude of the electron capture (EC) decay is the coherent sum of the amplitude of the different massive neutrino channel. According to the coherent interpretation, the oscillation of the EC decay rate is the result of the flavor state of the neutrino and the time scale of order 10–100 s. We find that the introduction of the flavor state and that of the nonzero time scale in the frame of the time-dependent perturbation theory would bring the considerable flavor violation in the total decay rate, which is in contradiction with the micro-causality. Employing the correct time scale t(t≪1 s ), the right EC decay rate is obtained which is the result of the incoherent sum of the component probability with the mass eigenstates. Accordingly, there is no oscillation term in the total decay rate.

scholarly journals DIRECT QUANTIZATION OF OPEN DISSIPATIVE SYSTEMS

2000 ◽  
Vol 14 (29) ◽  
pp. 1055-1062
Author(s):  
JOSE A. MAGPANTAY
Keyword(s):  
Green Function ◽  
Harmonic Oscillator ◽  
Effective Action ◽  
Perturbation Expansion ◽  
Random Force ◽  
Second Order ◽  
Time Dependent ◽  
Dissipative Systems ◽  
Starting Point

Open dissipative systems subject to a random force are directly quantized. The starting point is the effective action derived using the method of Parisi–Sourlas. Since the effective action is second order, the method of Ostrogradsky was used to quantize the system canonically. In the case of the harmonic oscillator, the relevant Green function can be computed exactly. In the general case, a perturbation expansion, involving time-dependent (memory) terms, can be defined.

Measurement of CP-Violating Asymmetries in B0 → (ρπ)0 Using a Time-Dependent Dalitz Plot Analysis

2005 ◽  
Vol 20 (15) ◽  
pp. 3551-3553
Author(s):  
◽  
ATTILA MIHALYI
Keyword(s):  
Form Factor ◽  
Maximum Likelihood ◽  
Decay Rate ◽  
Bilinear Form ◽  
Dalitz Plot ◽  
Time Dependent ◽  
Preliminary Measurement ◽  
Plot Analysis ◽  
B Factory ◽  
Babar Detector

We present the preliminary measurement of CP-violating asymmetries in B0 → (ρπ)0 → π+π-π0 decays using a time-dependent Dalitz plot analysis. The results are obtained from a data sample of 213 million [Formula: see text] decays, collected by the BaBar detector at the PEPII asymmetric-energy B -Factory at SLAC. We measure 16 coefficients of the bilinear form factor terms occurring in the time-dependent decay rate of the B0 meson with the use of a maximum-likelihood fit. The physically relevant CP parameters are derived from these coefficients.

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