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19952020
most citedQuantitative Phase Field Model of Alloy Solidification

816 citations

Showing 2002Show all

5 papers · 1 filter

cond-mat2002★ 7 cited

Percolation-dependent Reaction Rates in the Etching of Disordered Solids

K. M. Kolwankar, M. Plapp, B. Sapoval

A prototype statistical model for the etching of a random solid is investigated in order to assess the influence of disorder and temperature on the dissolution kinetics. At low tem…

cond-mat.mtrl-sci2002★ 30 cited

Stability of hexagonal solidification patterns

Mathis Plapp, Marcus Dejmek

We investigate the dynamics of cellular solidification patterns using three-dimensional phase-field simulations. The cells can organize into stable hexagonal patterns or exhibit un…

cond-mat.stat-mech2002★ 13 cited

Chemical fracture and distribution of extreme values

A. Baldassarri, A. Gabrielli, B. Sapoval

When a corrosive solution reaches the limits of a solid sample, a chemical fracture occurs. An analytical theory for the probability of this chemical fracture is proposed and confi…

math.PR2002★ 55 cited

Explicit Construction of the Brownian Self-Transport Operator

D. S. Grebenkov

Applying the technique of characteristic functions developped for one-dimensional regular surfaces (curves) with compact support, we obtain the distribution of hitting probabilitie…

cond-mat.mtrl-sci2002★ 61 cited

Pattern Stability and Trijunction Motion in Eutectic Solidification

S. Akamatsu, M. Plapp, G. Faivre +1

We demonstrate by both experiments and phase-field simulations that lamellar eutectic growth can be stable for a wide range of spacings below the point of minimum undercooling at l…