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How does sugar affect texture?
Sugar affects texture
This union of sugar and water affects the texture of baked goods in two important ways. It keeps baked goods soft and moist. The bond between sugar and water allows sugar to lock in moisture so that items such as cakes, muffins, brownies, and frostings don't dry out too quickly.

People also ask
> How does sugar affect texture?
> Sugar affects texture
> This union of sugar and water affects the texture of baked goods in two important ways. It keeps baked goods soft and moist. The bond between sugar and water allows sugar to lock in moisture so that items such as cakes, muffins, brownies, and frostings don't dry out too quickly.

People also ask
> How does sugar affect texture?
> Sugar affects texture
> This union of sugar and water affects the texture of baked goods in two important ways. It keeps baked goods soft and moist. The bond between sugar and water allows sugar to lock in moisture so that items such as cakes, muffins, brownies, and frostings don't dry out too quickly.

People also ask
> How does sugar affect texture?
> Sugar affects texture
> This union of sugar and water affects the texture of baked goods in two important ways. It keeps baked goods soft and moist. The bond between sugar and water allows sugar to lock in moisture so that items such as cakes, muffins, brownies, and frostings don't dry out too quickly.

Percolation and Gibbs states multiplicity for ferromagnetic
Ashkin–Teller models on Z2
L Chayes†, D McKellar‡ and B Winn§
Department of Mathematics, University of California, Los Angeles, CA 90095–1555, USA
Received 16 September 1997, in final form 13 August 1998
Abstract. For a region of the nearest-neighbour ferromagnetic Ashkin–Teller spin systems on
Z2, we characterize the existence of multiple Gibbs states via percolation. In particular, there
are multiple Gibbs states if and only if there exists percolation of any of the spin types (i.e.
the magnetized states are characterized by percolation of the dominant species). This result was
previously known only for the Potts models on Z2.
1. Introduction
An issue that sometimes arises in statistical mechanics concerns the connection between
percolation and phase transitions. For the Potts models on Z2 there are characterization
theorems relating the uniqueness of the Gibbs states and the absence of spin-system
percolation [CNPR1, CNPR2, C1]. Explicitly, for the Ising magnet, the region of
nonuniqueness is characterized by percolation of + spins in the + state. The analogous
result holds for the Potts model and a number of similar results, for various systems, were
established in [GLM]. In this paper, we will establish such a result for a region of the
Ashkin–Teller models. Specifically, there are multiple limiting Gibbs states precisely at
those temperatures which foster percolation of one of the spin types.
We begin with a description of a general Ashkin–Teller model on an arbitrary graph with
spins at each vertex. There are four possible spin types, labelled: blue, red+, yellow, and
red−. The spins may be regarded as lying equidistant on the unit circle, occurring clockwise
in the order just named, with blue at 12 o’clock. There is complete symmetry around the
circle, so that interactions receive energy assignments based solely on the relative positions
of the spin colours on the circle. Here the model is ‘completely’ ferromagnetic: colours
opposite to each other receive the highest energy assignments; the like–like interactions the
lowest, and the adjacent colours receive an intermediate energy. Without loss of generality,
we may set this intermediate energy level =0. For positive Khi,j i, khi,j i, we set the like–like
interaction between sites i and j along the edge hi, j i = khi,j i−Khi,j i, and the interaction for
spin pairs with colours opposite to each other to khi,j i. Although the Z2 Ashkin–Teller model
in our theorem has uniform couplings (and at most one edge between any two sites), some of
our proofs will use the flexibility of multiple edges between sites and nonuniform coupling
constants. In this paper, we confine attention to the parameter region khi,j i 6 Khi,j i/2 for
all hi, j i.