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Geometrical approach to phase transitions in frustrated and unfrustrated systems

Coniglio, Antonio - In: Physica A: Statistical Mechanics and its Applications 281 (2000) 1, pp. 129-146

We review the basic ideas which have been developed to characterize geometrically the equilibrium phase transitions. This approach elucidates many concepts like propagation of correlations, upper critical dimensionality, breakdown of hyperscaling, strong universality, and other basic ideas in...

Persistent link: https://www.econbiz.de/10010873243

Kinetic roughening in etched Si

Dotto, M.E.R; Kleinke, M.U - In: Physica A: Statistical Mechanics and its Applications 295 (2001) 1, pp. 149-153

In this work, surface morphology of Si etched surfaces generated with distinct physical constrains for attack, has been investigated by atomic force microscope (AFM). Statistical properties measured from AFM images prove that these surfaces present self-affine behavior; and also suggest that Si...

Persistent link: https://www.econbiz.de/10010872198

Using percolation theory to predict oil field performance

King, P.R; Buldyrev, S.V; Dokholyan, N.V; Havlin, S; … - In: Physica A: Statistical Mechanics and its Applications 314 (2002) 1, pp. 103-108

In this paper, we apply scaling laws from percolation theory to the problem of estimating the time for a fluid injected …

Persistent link: https://www.econbiz.de/10010872507

A damage model based on failure threshold weakening

Gran, Joseph D.; Rundle, John B.; Turcotte, Donald L.; … - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 7, pp. 1269-1278

show that the values of the scaling exponents approach the values for mean-field percolation (spinodal nucleation) as …–magnitude scaling relationship and the ergodic behavior of the model. …

Persistent link: https://www.econbiz.de/10010588515

A geometrical model of diagenesis using percolation theory

Karmakar, R.; Manna, S.S.; Dutta, T. - In: Physica A: Statistical Mechanics and its Applications 318 (2003) 1, pp. 113-120

We study the restructuring process of diagenesis in sedimentary rocks using a geometrical model of percolation theory. The competing processes of cementation and dissolution of diagenesis are modelled by growth of vacant sites and culling of occupied sites in a percolation model depending on a...

Persistent link: https://www.econbiz.de/10010590567

Dynamics of linear polymers in random media

Chakrabarti, Bikas K.; Chattopadhyay, Amit K.; Dutta, Amit - In: Physica A: Statistical Mechanics and its Applications 333 (2004) C, pp. 34-40

We study phenomenological scaling theories of the polymer dynamics in random media, employing the existing scaling … theories of polymer chains and the percolation statistics. We investigate both the Rouse and the Zimm model for Brownian … of the chain, we estimate the dynamic exponents. We propose similar scaling theory for the reptation dynamics of the …

Persistent link: https://www.econbiz.de/10010590767

Nonlinear conduction in composites above percolation threshold — beyond the backbone

Bardhan, K.K. - In: Physica A: Statistical Mechanics and its Applications 241 (1997) 1, pp. 267-277

, greater is the nonlinearity. Analysis of nonlinear data is made with emphasis on scaling properties. dI/dV is found to …

Persistent link: https://www.econbiz.de/10011058267

Post-breakthrough scaling in reservoir field simulation

Oliveira, C.L.N.; Araújo, A.D.; Lucena, L.S.; Almeida, M.P. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 11, pp. 3219-3226

We study the oil displacement and production behavior in an isothermal thin layered reservoir model subjected to water flooding. We use the CMG’s (Computer Modelling Group) numerical simulators to solve mass balance equations. The influences of the viscosity ratio (m≡μoil/μwater) and the...

Persistent link: https://www.econbiz.de/10011059115