Fibonacci family of dynamical universality classes

Universality is a well-established central concept of equilibrium physics. However, in systems far away from equilibrium a deeper understanding of its underlying principles is still lacking. Up to now, a few classes have been identified. Besides the diffusive universality class with dynamical exponent $z=2$ another prominent example is the superdiffusive Kardar-Parisi-Zhang (KPZ) class with $z=3/2$. It appears e.g. in low-dimensional dynamical phenomena far from thermal equilibrium which exhibit some conservation law. Here we show that both classes are only part of an infinite discrete family of non-equilibrium universality classes. Remarkably their dynamical exponents $z_\alpha$ are given by ratios of neighbouring Fibonacci numbers, starting with either $z_1=3/2$ (if a KPZ mode exist) or $z_1=2$ (if a diffusive mode is present). If neither a diffusive nor a KPZ mode are present, all dynamical modes have the Golden Mean $z=(1+\sqrt{5})/2$ as dynamical exponent. The universal scaling functions of these Fibonacci modes are asymmetric L\'evy distributions which are completely fixed by the macroscopic current-density relation and compressibility matrix of the system and hence accessible to experimental measurement.Comment: 8 pages, 5 Figs (2 Figure revised, one new Figure added), revised introductio

Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension

We obtain the exact solution of the one-loop mode-coupling equations for the dynamical structure function in the framework of non-linear fluctuating hydrodynamics in one space dimension for the strictly hyperbolic case where all characteristic velocities are different. All solutions are characterized by dynamical exponents which are Kepler ratios of consecutive Fibonacci numbers, which includes the golden mean as a limiting case. The scaling form of all higher Fibonacci modes are asymmetric L\'evy-distributions. Thus a hierarchy of new dynamical universality classes is established. We also compute the precise numerical value of the Pr\"ahofer-Spohn scaling constant to which scaling functions obtained from mode coupling theory are sensitive.Comment: PACS classification: \pacs{05.60.Cd, 05.20.Jj, 05.70.Ln, 47.10.-g

About the Measuring of Information Security Awareness: A Systematic Literature Review

To make employees aware of their important role for information security, companies typically carry out security awareness campaigns. The success and effectiveness of those campaigns has to be measured to justify the budget for example. Therefore, we did a systematic literature review in order to learn how information security awareness (ISA) is measured in theory and practice. We covered published literature as well as unpublished information. The unpublished information was retrieved by interviewing experts of small and medium-sized enterprises. The results showed that ISA is mostly measured via questionnaires. Round about 40 % of the questionnaires are based on the Knowledge-Attitude-Behavior-Model which is itself scientifically weak. According to studies measuring knowledge is not sufficient and,behavior has to be measured. Our results show that the answers of participants in questionnaires often differ from the truth due to wrong perception or social desirability bias. Therefore, behavior should be measured through behavior tests

The Forgotten Model – Validating the Integrated Behavioral Model in Context of Information Security Awareness

The behavior of employees has a strong influence on the information security of a company. Whether humans behave information security compliant depends on a large extent on their information security awareness (ISA). Social psychology provides an understanding about factors that influence awareness and thus gives relevant insights on how to increase an employee‘s ISA. A promising theory from health psychology is the Integrated Behavioral Model (IBM). To validate the significance of the IBM for ISA, a structured literature review about models that explain ISA has been conducted. The analysis of the found ISA models and their constructs showed that the IBM indeed includes all found factors. Based on the findings, the paper presents an extended model of the IBM within the ISA context with a higher level of detail. The model can be used to analyze individualized ISA and help companies to enhance ISA in a systematic way

Improving estimations of maximal stand density by combining Reineke's size-density rule and the yield level, using the example of spruce ( Picea abies (L.) Karst.) and European Beech ( Fagus sylvatica L.)

• The Reineke Stand density rule relating stem numbers to the quadratic mean diameter is generally used as a reference for modelling maximal stand density. • The linearity of this relationship after double logarithmic transformation is generally assumed, but it must be questioned for untouched stands and stands with a conventional thinning regime. Curvilinearity is demonstrated for some spruce and beech stands in Switzerland and shown to be statistically representative. This relationship is independent of the site index. It can be interpreted as a change in mortality in young stages mainly due to competition and in older stages more to ageing. • A more accurate estimation of the maximal stand density needs to take into account the important variation around the mean course, known as the yield level. A simple method to assess the yield level of any stand regardless of whether it is thinned or not is presented, based on estimating the effect of a stand opening on the basal are