Search results for "Universality"
showing 10 items of 107 documents
Universality of Schmidt decomposition and particle identity
2017
Schmidt decomposition is a widely employed tool of quantum theory which plays a key role for distinguishable particles in scenarios such as entanglement characterization, theory of measurement and state purification. Yet, it is held not to exist for identical particles, an open problem forbidding its application to analyze such many-body quantum systems. Here we prove, using a newly developed approach, that the Schmidt decomposition exists for identical particles and is thus universal. We find that it is affected by single-particle measurement localization and state overlap. We study paradigmatic two-particle systems where identical qubits and qutrits are located in the same place or in sep…
Analysis of the Standard Definition of Cosmopolitanism
2021
This chapter investigates the traditional definition of cosmopolitanism which understands cosmopolitanism as moral egalitarianism. It sets out in detail how the three core elements (individualism, universality, and generality) allow so much room for interpretation that the definition hardly provides any information on what moral egalitarianism means. It confirms that cosmopolitanism as moral egalitarianism includes almost all theories of global justice, even such that are commonly seen as opposing positions.
La constitución de la imagen actual del hombre
2013
The article analyses critically three dififerent models about human being: the homo faber, or tecnocratic humanism, dominant along Modernity from Descartes and Bacon to Marx; the homo natura and the homo ludens , which represent antihumanist models of the late Modernity. In front of these models we can find a fourth one: the homo patiens or excentric humanism, openned to God, others and nature. Only this model gives a consistent foundation to the universality of the rights because it identifies the concepts of human being and person.
Do crossover functions depend on the shape of the interaction profile?
1999
We examine the crossover from classical to non-classical critical behaviour in two-dimensional systems with a one-component order parameter. Since the degree of universality of the corresponding crossover functions is still subject to debate, we try to induce non-universal effects by adding interactions with a second length scale. Although the crossover functions clearly depend on the range of the interactions, they turn out to be remarkably robust against further variation of the interaction profile. In particular, we find that the earlier observed non-monotonic crossover of the effective susceptibility exponent occurs for several qualitatively different shapes of this profile.
Adsorption Active Diblock Copolymers as Universal Agents for Unusual Barrier-Free Transitions in Stimuli-Responsive Brushes
2021
We reconsider a recently proposed design for smart responsive brushes, which is based on a conformational transition in very dilutely embedded block copolymers with a surface active block (Qi et al., Macromolecules 53, 5326, 2020). Under certain conditions, the transition acquires an unusual character: it remains very sharp, but the barrier separating the adsorbed and desorbed states disappears completely. We show that these features are very robust with respect to changing almost all system parameters: the lengths of the inert and active blocks of the minority chain, the brush length, its density, and its polydispersity. The only relevant condition is that the inert block of the minority c…
Universality for the breakup of invariant tori in Hamiltonian flows
1998
In this article, we describe a new renormalization-group scheme for analyzing the breakup of invariant tori for Hamiltonian systems with two degrees of freedom. The transformation, which acts on Hamiltonians that are quadratic in the action variables, combines a rescaling of phase space and a partial elimination of irrelevant (non-resonant) frequencies. It is implemented numerically for the case applying to golden invariant tori. We find a nontrivial fixed point and compute the corresponding scaling and critical indices. If one compares flows to maps in the canonical way, our results are consistent with existing data on the breakup of golden invariant circles for area-preserving maps.
Museums as disseminators of niche knowledge: Universality in accessibility for all
2019
Accessibility has faced several challenges within audiovisual translation Studies and gained great opportunities for its establishment as a methodologically and theoretically well-founded discipline. Initially conceived as a set of services and practices that provides access to audiovisual media content for persons with sensory impairment, today accessibility can be viewed as a concept involving more and more universality thanks to its contribution to the dissemination of audiovisual products on the topic of marginalisation. Against this theoretical backdrop, accessibility is scrutinised from the perspective of aesthetics of migration and minorities within the field of the visual arts in mu…
Wait-and-switch relaxation model: Relationship between nonexponential relaxation patterns and random local properties of a complex system
2006
The wait-and-switch stochastic model of relaxation is presented. Using the ``random-variable'' formalism of limit theorems of probability theory we explain the universality of the short- and long-time fractional-power laws in relaxation responses of complex systems. We show that the time evolution of the nonequilibrium state of a macroscopic system depends on two stochastic mechanisms: one, which determines the local statistical properties of the relaxing entities, and the other one, which determines the number (random or deterministic) of the microscopic and mesoscopic relaxation contributions. Within the proposed framework we derive the Havriliak-Negami and Kohlrausch-Williams-Watts funct…
Stochastic Nonlinear Time Series Forecasting Using Time-Delay Reservoir Computers: Performance and Universality
2014
International audience; Reservoir computing is a recently introduced machine learning paradigm that has already shown excellent performances in the processing of empirical data. We study a particular kind of reservoir computers called time-delay reservoirs that are constructed out of the sampling of the solution of a time-delay diFFerential equation and show their good performance in the forecasting of the conditional covariances associated to multivariate discrete-time nonlinear stochastic processes of VEC-GARCH type as well as in the prediction of factual daily market realized volatilities computed with intraday quotes, using as training input daily log-return series of moderate size. We …
Existentially Closed Groups in Specific Classes
1995
This survey article is intended to make the reader familiar with the algebraic structure of existentially closed groups in specific group classes, and with the ideas and methods involved in this area of group theory. We shall try to give a fairly complete account of the theory, but there will be a certain emphasis on classes of nilpotent groups, locally finite groups, and extensions.