Correlations and Critical Behavior in Lattice Gluodynamics

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the A2 gluon condensate as well as with the longitudinal propagator makes it possible to determine the critical behavior of these quantities. We discuss finitevolume corrections and reveal that they can be reduced by the use of regression analysis. We also analyze the temperature dependence of low-momenta propagators in different Polyakov-loop sectors.

The future of leadership—How is leadership in small and medium-sized enterprises going to change?

This paper in the Journal Gruppe. Interaktion. Organisation. (GIO) addresses changes in leadership through digitalization and their consequences for leaders. For years, digitalization has been heralding changes such as increasing leadership at a distance or use of digital communication media. Small and medium-sized enterprises (SMEs) now face the task of coping with these changes and have to contend with major uncertainties: What are major determining trends for leaders in SMEs? Which changes will shape leadership and how will they change leadership tasks and success-critical behavior? In semi-structured interviews with seven experts from SMEs we have explored these questions. Trends expected by the experts describe changes in the organizational structures and in work within the company. Structurally, companies will become more agile and diverse, hierarchies will play a less strong role and companies will cooperate more closely with each other. Work will become more location-independent, more influenced by Big Data and many tasks will be made easier or taken over by technology. In relation to established models of leadership tasks and behavior, the experts see a clear shift in tasks in favor of managing human resources, including the development of employees through coaching and the transfer of responsibility. In addition to previous tasks, the experts see managing change as a new task area. This area consists of accompanying change, acting flexibly and agilely, communicating openly and transparently and allowing failure. With regard to changes in success-critical behavior, leaders have to show more strategy orientation, communicate clearly and be open to new ideas and further development.

Structure, Magnetocaloric Effect and Critical Behavior of the Fe60Co12Gd4Mo3B21 Amorphous Ribbons

The aim of the paper was to study the structure, magnetic properties and critical behavior of the Fe60Co12Gd4Mo3B21 alloy. The X-ray diffractometry and the Mössbauer spectroscopy studies confirmed amorphous structure. The analysis of temperature evolution of the exponent n (ΔSM = C·(Bmax)n) and the Arrott plots showed the second order phase transition in investigated material. The analysis of critical behavior was carried out in order to reveal the critical exponents and precise TC value. The ascertained critical exponents were used to determine the theoretical value of the exponent n, which corresponded well with experimental results.

Critical behavior in the artificial axon

The Artificial Axon is a unique synthetic system, based on biomolecular components, which supports action potentials. Here we examine, experimentally and theoretically, the properties of the threshold for firing in this system. As in real neurons, this threshold corresponds to the critical point of a saddle-node bifurcation. We measure the delay time for firing as a function of the distance to threshold, recovering the expected scaling exponent of −1/2. We introduce a minimal model of the Morris-Lecar type, validate it on the experiments, and use it to extend analytical results obtained in the limit of ”fast” ion channel dynamics. In particular, we discuss the dependence of the firing threshold on the number of channels. The Artificial Axon is a simplified system, an Ur-neuron, relying on only one ion channel species for functioning. Nonetheless, universal properties such as the action potential behavior near threshold are the same as in real neurons. Thus we may think of the Artificial Axon as a cell-free breadboard for electrophysiology research.

Theory space of one unitary matrix model and its critical behavior associated with Argyres–Douglas theory

The lowest critical point of one unitary matrix model with cosine plus logarithmic potential is known to correspond with the [Formula: see text] Argyres–Douglas (AD) theory and its double scaling limit derives the Painlevé II equation with parameter. Here, we consider the critical points associated with all cosine potentials and determine the scaling operators, their vacuum expectation values (vevs) and their scaling dimensions from perturbed string equations at planar level. These dimensions agree with those of [Formula: see text] AD theory.