Ginzburg, Carlo

Ginzburg, Carlo. The cheese and the worms the cosmos of a sixteenth-century miller. London Routledge Kegan Paul, 1980. 

Ginzburg, Carlo. Ecstasies Deciphering the Witches Sabbath. Translated by Raymond Rosenthal. New York Penguin, 1991. 

Ginzburg, Carlo, The Cheese and the Worms The Cosmos of a Sixteenth-Century Miller, tr. John and Anne Tedeschi (1980). 

Ginzburg, Carlo (1989) Traces. Racines d lm paradigme indiciaire in Mythes, emblemes, traces, Paris, Flammarion, pp. 139—180. 

The first step in studying phenomenological theories (Ginzburg-Landau theories and membrane theories) has usually been to minimize the free energy functional of the model. Fluctuations are then included at a later stage, e.g., using Monte Carlo simulations. The latter will be discussed in Sec. V and Chapter 14. 

G. Gompper, M. Kraus. Ginzburg-Landau theory of ternary amphiphilic systems. II. Monte Carlo simulations. Phys Rev E 47 4301- 312, 1993. 

Finally, we argue that this approach does not handle incertitude correctly. Although a 2nd-order Monte Carlo simulation does conscientiously separate variability from incertitude, it still applies the methods of Laplace to incertitude. As a result, it can produce estimates that are inappropriate or unusable in risk analysis (Ferson and Ginzburg 1996). 

Capillary waves do not only broaden the width of the interface but they can also destroy the orientational order in highly swollen lamellar phases (see Fig. 1 for a phase diagram extracted from Monte Carlo Simulations). Those phases occur in mixtures of diblock-copolymers and homopolymers. The addition of homopolymers swells the distance between the lamellae, and the self-consistent field theory predicts that this distance diverges at Lifshitz points. However, general considerations show that mean-field approximations are bound to break down in the vicinity of lifshitz points [61]. (The upper critical dimension is du = 8). This can be quantified by a Ginzburg criterion. Fluctuations are important if... 

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