Variational Principle for Self-replicating Systems
نویسندگان
چکیده
منابع مشابه
Minimal self-replicating systems.
Minimal self-replicating systems typically consist of three components: a product molecule, and two substrate molecules that become joined to form another product molecule. An important characteristic of self-replicating systems is the ability of the product to catalyze the formation of additional product, resulting in autocatalytic behavior. Recent advances in the area of self-replication have...
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Examples of chemical systems capable of templating and catalysing their own synthesis—self-replicating systems— have begun to appear in the chemical literature over the last 15 years. For the biologist, these systems represent a link with the origin of life—their study can shed light on prebiotic chemical evolution. However, for the synthetic chemist, they represent the ultimate synthetic machi...
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In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm, such that $f + g $ attains its strong minimum on $X. $ This result extends some of the well-known varitional principles as that of Ekeland [On the variational principle, J. Ma...
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An extended variational principle providing the equations of motion for a system consisting of interacting classical, quasiclassical and quantum components is presented, and applied to the model of bilinear coupling. The relevant dynamical variables are expressed in the form of a quantum state vector which includes the action of the classical subsystem in its phase factor. It is shown that the ...
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ژورنال
عنوان ژورنال: Mathematical Modelling of Natural Phenomena
سال: 2015
ISSN: 0973-5348,1760-6101
DOI: 10.1051/mmnp/201510208