In this work, we consider the Lie's method of infinitesimal transformation groups and discrete symmetries method for Burgers equation with time dependent flux at the origin. Following the Lie's method of infinitesimal transformation groups we determine the symmetry reductions and similarity solutions of the governing equation. By applying discrete symmetries analysis we have obtained three grou...

In the analysis of time-reversal and Mossbauer absorption experiments, it is important to consider atomic processes which interfere with the dllect nuclear transition. Interaction of the photon with the atomic electrons causes the radiation to acquire a phase shift,-specified by the interference parameter s(L1T). We present theoretical expressions for 5 and compare our calculated values with ex...

FIG. 4. Dependence of the lifetime on the ratio, R, of yields in the two exposures. Curve a is computed with the use of a spectrum of E 's derived from an energy-dependent matrix element of the form y2 —1, Gaussian momentum distribution in the target nucleus, and isotropic angular distribution in the center-of-mass system. Curve b has isotropic and energy-independent matrix element, and Fermi m...

This talk briefly reviews three types of time-asymmetry in physics, which I classify as universal, macroscopic and microscopic. Most of the talk is focussed on the latter, namely the violation of T-reversal invariance in particle physics theories. Talk presented at Discrete ’08 Conference, Valencia, Spain December 11, 2008 SLAC–PUB–13518 This work is supported by the Department of Energy under ...

Mean square matrix elements of the time reversal invariance violating (TRIV) interaction between the compound nuclear states are calculated within the statistical model, using the explicit form of the TRIV interaction via the ρmeson exchange. From the comparison of the calculated values with the data known for p+27Al ⇔24 Mg+α reaction, and for γ-correlation measurements in 113Cd(n, γ)114Cd proc...

The littlest Higgs model with T-parity (called the LHT model) predicts the existence of the T-odd leptons, which can generate contributions to some leptonic processes at the one-loop level. We calculate their contributions to the leptonic Z decay processes Z → ll̄′, Z → ll̄, and Z → νν̄. We find that the T-odd leptons can give significant contributions to the branching ratios of these decay proces...

A time harmonic far field model for closed electromagnetic time reversal mirrors is proposed. Then, a limit model corresponding to small perfectly conducting scatterers is derived. This asymptotic model is used to prove the selective focusing properties of the time reversal operator. In particular, a mathematical justification of the DORT method (Decomposition of the Time Reversal Operator meth...

The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the original process to the similar statistics in the time-reversed process. The origin of a variety of fluctuation relations is traced to the use of different t...

Part 1: description of odd nuclei in mean-field theories. Abstract In order to extract informations on pairing correlations in nu-clei from experimental mass differences, the different contributions to odd-even mass differences are investigated within the Skyrme HFB 1 method. In this first paper, the description of odd nuclei within HFB is discussed since it is the key point for the understandi...

‎let $v$ be an $n$-dimensional complex inner product space‎. ‎suppose‎ ‎$h$ is a subgroup of the symmetric group of degree $m$‎, ‎and‎ ‎$chi‎ :‎hrightarrow mathbb{c} $ is an irreducible character (not‎ ‎necessarily linear)‎. ‎denote by $v_{chi}(h)$ the symmetry class‎ ‎of tensors associated with $h$ and $chi$‎. ‎let $k(t)in‎ (v_{chi}(h))$ be the operator induced by $tin‎ ‎text{end}(v)$‎. ‎the...