2001
DOI: 10.1016/s0378-4754(01)00310-x
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A new application of percolation theory for coupled transport phenomena through porous media

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Cited by 12 publications
(6 citation statements)
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“…Percolation theory: The percolation theory is known as an excellent tool in dealing with the irregular phenomenon and chaotic system in nature. Its outstanding characteristic is long-distance connectivity, a catastrophe or intense phase change in certain nature with the increase of connection degree or certain density, or occupation or concentration, which is presented as the sudden appearance or disappearance of certain behaviour on a macro level 16,[19][20][21] . The basic types of percolation include bond percolation and site percolation.…”
Section: Resultsmentioning
confidence: 99%
“…Percolation theory: The percolation theory is known as an excellent tool in dealing with the irregular phenomenon and chaotic system in nature. Its outstanding characteristic is long-distance connectivity, a catastrophe or intense phase change in certain nature with the increase of connection degree or certain density, or occupation or concentration, which is presented as the sudden appearance or disappearance of certain behaviour on a macro level 16,[19][20][21] . The basic types of percolation include bond percolation and site percolation.…”
Section: Resultsmentioning
confidence: 99%
“…Accordingly, we think, that only the common application of the powerful calculation methods emanating from non-equilibrium thermodynamics and percolation theory may provide a genuine background for accurate modelling of (in general case:) coupled transport processes taking place in porous media. For instance, this modelling strategy has been applied rather rarely in one of the most obvious research fields of the topic -in the theory of drying processes [6] [ ] ∝ ∆ ∆ = − ∈ and then, an a posteriori refinement of the basic analytical solution of the general coupled system of parabolic-type partial differential equations was realized.) Since soil columns represent an archetypal case of PF systems, their investigation from the point of view of newest transport theories (see e.g.…”
Section: Methodsmentioning
confidence: 99%
“…Fig.1. Scaling behaviour of the moisture level distribution in the case of coupled heat and mass transfer in porous medium (in relative units) for (a) ∆p = 0,001, (b) ∆p=0,002 values of the percolation probability difference after[6].…”
mentioning
confidence: 99%
“…[8,24,25] The reason is, that this well-developed branch of probability theory [26] and statistical physics [27] has shown its efficiency at solving many practical problems. This theory is particularly important to describe the phase transition phenomena in complex systems of very different character.…”
Section: Applications Of the Percolation Theory Of Phase Transitionsmentioning
confidence: 99%
“…Since (in the sense of relation (6)) the relaxation time constants depend on the actual values of the diffusion coefficient, too, it became possible to set up modeling strategies that are able to follow the dependence of relaxation time constants on the percolative state of the system. [25] 1300 MÉ SZÁ ROS ET AL.…”
Section: Applications Of the Percolation Theory Of Phase Transitionsmentioning
confidence: 99%