Random walks in a disordered system. Representation of the Green's function by a functional intergral

Dzheparov, F. S.; Shestopal, V. E.

doi:10.1007/bf00897340

Cited by 4 publications

(2 citation statements)

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“…Path integral representations of this type were introduced in Ref. 48. For the sake of brevity we will consider only simplified version of the theory, where Eq.…”

Section: Path Integral Representations For Rwdsmentioning

confidence: 99%

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Spin relaxation in disordered media

Dzheparov¹

2011

J. Phys.: Conf. Ser.

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The NMR line shape of magneto-active nanoclusters in moveable nano-containers with self-similar stochastic dynamics A A Khamzin, R R Nigmatullin, A P Alekhin et al. IntroductionWe will discuss statically disordered media, this means that constituent particles (atoms, ions and so on) do not participate in significant translational motions during the relaxation time under discussion, and therefore their positions are fixed (frozen) in the main approximation. The relaxation is assumed as forced by magnetic dipole interactions typical for nuclear magnetic (NMR) and electron paramagnetic (EPR) resonance studies. Considered systems are suggested as translational invariant in average.In the simplest situation, when considered system consists of spins, placed in static fluctuating fields, we have inhomogeneous broadening of resonance line -very old and simple one-particle problem that nevertheless produces new results up to now [1]. Other systems of interest are much more complex for analytical studies and we will try to clarify the nature of this complexity here. Our consideration will be concentrated on peculiarities of theoretical methods which are necessary for adequate description of observable phenomena. More extended description of theoretical and experimental results can be found in [2,3].We will distinguish below disordered and magnetically diluted spin systems.

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“…Path integral representations of this type were introduced in Ref. 48. For the sake of brevity we will consider only simplified version of the theory, where Eq.…”

Section: Path Integral Representations For Rwdsmentioning

confidence: 99%

“…(66) Exact definition of the integral, which is very important for real calculations, can be found in [48]. The representation (66) is similar to, but more complex than path integrals in the famous polaron problems (PP) [49].…”

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confidence: 99%