From dynamical scaling to local scale-invariance: a tutorial
نویسندگان
چکیده
منابع مشابه
Local scale invariance, conformal invariance and dynamical scaling
Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space-time symmetries of certain non-local free field theories. Physical applications include uniaxial Lifshitz points and ageing in simple ferromagnets. Scale invariance is a central notion of moder...
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Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are characterized by an anisotropy exponent θ or a dynamical exponent z. For a given value of θ (or z), we construct local scale transformations, which can be viewed as scale transformations with a space-time-dependent dilatation factor. Two distinct types of local scale transformations are found. The first typ...
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Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space-time symmetries of certain non-local free field theories. The scaling form of two-point functions is completely fixed by the requirement of local scale invariance. These predictions are confirm...
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In a recent Letter [1], Rao et. al. proposed a simple model describing martensites formation. In 2D, the model is defined as follows: (i) Segments grow from seeds that are nucleated in a bounded region; (ii) The tips of these segments move with a constant velocity V until they hit either another segment or the boundary; (iii) Any tip grows in one of two possible orthogonal directions. There are...
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ژورنال
عنوان ژورنال: The European Physical Journal Special Topics
سال: 2017
ISSN: 1951-6355,1951-6401
DOI: 10.1140/epjst/e2016-60336-5