Threshold-induced phase transitions in perceptrons

Error rates of a Boolean perceptron with threshold and either spherical or Ising constraint on the weight vector are calculated for storing patterns from biased input and output distributions derived within a one-step replica symmetry breaking (RSB) treatment. For unbiased output distribution and non-zero stability of the patterns, we find a critical load, α p, above which two solutions to the saddlepoint equations appear; one with higher free energy and zero threshold and a dominant solution with non-zero threshold. We examine this second-order phase transition and the dependence of α p on the required pattern stability, κ, for both one-step RSB and replica symmetry (RS) in the spherical case and for one-step RSB in the Ising case.

Betwixt spaces: student accounts of turning point experiences in first year transitions

‘Not belonging’ is becoming a prevalent theme within accounts of the first-year student experience at university. In this study the notion of not belonging is extended by assuming a more active role for the idea of liminality in a student’s transition into the university environments of academic and student life. In doing so, the article suggests that the transition between one place (home) and another (university) can result in an ‘in-between-ness’ – a betwixt space. Through an interpretative methodology, the study explores how students begin to move from this betwixt space into feeling like fully-fledged members of university life. It is concluded that there is a wide range of turning points associated with the students’ betwixt transition, which shapes, alters or indeed accentuates the ways in which they make meaningful connections with university life. Moreover, transitional turning point experiences reveal a cast of characters and symbolic objects; capture contrasting motivations and evolving relationships; display multiple trajectories of interpersonal tensions and conflicts; highlight discontinuities as well as continuities; and together, simultaneously liberate and constrain the students’ transition into university life.

Nation, region and history in post-communist transitions:identity politics in Ukraine, 1991-2006

Since independence in 1991, issues of nation and identity have become highly debated topics in Ukraine. This monograph explores not only how national identity is being (re)constructed by the Ukrainian state, but also the processes by which it is negotiated through society. The central argument of this work is that too much attention, concerning identity in Ukraine, has focused on markers of ethnicity and language. Instead, the author advocates a regional approach, engaging with the issue of how Ukraine's regional differences affect nation-building processes. Following the tumultuous events of the 'Orange Revolution', the view of Ukraine as a country inherently 'divided' between 'East' and 'West' has (re)emerged to become a popular explanation for political events. The study outlines the necessity for academics, policymakers and indeed politicians to veer away from this simplistic 'West versus East' divide. The book advocates an analysis of Ukraine's unique brand of regionalism not in terms of divisions, but in terms of regional differences and diversity. The author deconstructs the concept of 'Eastern Ukraine' by focusing on three Ukrainian localities, all adjacent to the Ukrainian-Russian border. The study examines how individuals provide 'their' own understanding of the place of their region within the wider processes of nation building across Ukraine. In doing so, the book develops a 'regional' approach to the study of identity politics in Ukraine.

Phase transitions and memory effects in the dynamics of Boolean networks

The generating functional method is employed to investigate the synchronous dynamics of Boolean networks, providing an exact result for the system dynamics via a set of macroscopic order parameters. The topology of the networks studied and its constituent Boolean functions represent the system's quenched disorder and are sampled from a given distribution. The framework accommodates a variety of topologies and Boolean function distributions and can be used to study both the noisy and noiseless regimes; it enables one to calculate correlation functions at different times that are inaccessible via commonly used approximations. It is also used to determine conditions for the annealed approximation to be valid, explore phases of the system under different levels of noise and obtain results for models with strong memory effects, where existing approximations break down. Links between Boolean networks and general Boolean formulas are identified and results common to both system types are highlighted. © 2012 Copyright Taylor and Francis Group, LLC.

Computing with noise: phase transitions in Boolean formulas

Computing circuits composed of noisy logical gates and their ability to represent arbitrary Boolean functions with a given level of error are investigated within a statistical mechanics setting. Existing bounds on their performance are straightforwardly retrieved, generalized, and identified as the corresponding typical-case phase transitions. Results on error rates, function depth, and sensitivity, and their dependence on the gate-type and noise model used are also obtained.

21-residue peptide's dynamics at and between elementary structural transitions

Elementary conformational changes of the backbone of a 21-residue peptide A5(A3RA)3A are studied using molecular dynamics simulations in explicit water. The processes of the conformational transitions and the regimes of stationary fluctuations between them are investigated using minimal perturbations of the system. The perturbations consist of a few degrees rotation of the velocity of one of the systems' atoms and keep the system on the same energy surface. It is found that (i) the system dynamics is insignificantly changed by the perturbations in the regimes between the transitions; (ii) it is very sensitive to the perturbations just before the transitions that prevents the peptide from making the transitions; and (iii) the perturbation of any atom of the system, including distant water molecules is equally effective in preventing the transition. The latter implies strongly collective dynamics of the peptide and water during the transitions.

Phase transitions in wave turbulence

We consider turbulence within the Gross-Pitaevsky model and look into the creation of a coherent condensate via an inverse cascade originating at small scales. The growth of the condensate leads to a spontaneous breakdown of statistical symmetries of overcondensate fluctuations: First, isotropy is broken, then a series of phase transitions marks the changing symmetry from twofold to threefold to fourfold. We describe respective anisotropic flux flows in the k space. At the highest level reached, we observe a short-range positional and long-range orientational order (as in a hexatic phase). In other words, the more one pumps the system, the more ordered the system becomes. The phase transitions happen when the system is pumped by an instability term and does not occur when pumped by a random force. We thus demonstrate nonuniversality of an inverse-cascade turbulence with respect to the nature of small-scale forcing.

Patients' perceptions and experiences of transitions in diabetes care: a longitudinal qualitative study

Objective To examine patients' perceptions and experiences over time of the devolvement of diabetes care/reviews from secondary to primary health-care settings. Design Repeat in-depth interviews with 20 patients over 4 years. Participants and setting Twenty type 2 diabetes patients recruited from primary- and secondary-care settings across Lothian, Scotland. Results Patients' views about their current diabetes care were informed by their previous service contact. The devolvement of diabetes care/reviews to general practice was presented as a 'mixed blessing'. Patients gained reassurance from their perception that receiving practice-based care/reviews signified that their diabetes was well-controlled. However, they also expressed resentment that, by achieving good control, they received what they saw as inferior care and/or less-frequent reviews to others with poorer control. While patients tended to regard GPs as having adequate expertise to conduct their practice-based reviews, they were more ambivalent about nurses taking on this role. Opportunities to receive holistic care in general practice were not always realized due to patients seeing health-care professionals for diabetes management to whom they would not normally present for other health issues. Conclusions It is important to educate patients about their care pathways, and to reassure them that frequency of reviews depends more on clinical need than location of care and that similar care guidelines are followed in hospital clinics and general practice. A patients' history of service contact may need to be taken into account in future studies of service satisfaction.

Institutional work at field-configuring events:shaping industry change within sustainable transitions

Adopting an institutional approach from organization studies, this paper explores the role of key actors on “purposeful governance for sustainability” (Smith, Voss et al. 2010: 444) through the case of smart metering in the UK. Institutions are enduring patterns in social life, reflected in identities, routines, rules, shared meanings and social relations, which enable, and constrain, the beliefs and behaviours of individual and collective actors within a field (Thornton and Ocasio 2008). Large-scale external initiatives designed to drive regime-level change prompt ‘institutional entrepreneurs’ to perform ‘institutional work’ – “purposive action aimed at creating, maintaining and disrupting institutions” (Lawrence and Suddaby, 2006). Organization scholars are giving increasing attention to ‘field-configuring events’ (FCEs) which provide social spaces for diverse organizational actors to come together to collectively shape socio-technical pathways (Lampel and Meyer 2008). Our starting point for this exploratory study is that FCEs can offer important insights to the dynamics, politics and governance of sustainability transitions. Methodologically, FCEs allow us to observe and “link field evolution at the macro-level with individual action at the micro-level” (Lampel and Meyer, 2008: 1025). We examine the work of actors during a series of smart metering industry forums over a three-year period (industry presentations [n= 77] and panel discussions [n= 16]). The findings reveal new insights about how institutional change unfolds, alongside technological transitions, in ways that are partial and aligned with the interests of powerful incumbents whose voices are frequently heard at FCEs. The paper offers three contributions. First, the study responds to calls for more research examining FCEs and the role they play in transforming institutional fields. Second, the emergent findings extend research on institutional work by advancing our understanding of a specific site of institutional work, namely a face-to-face inter-organizational arena. Finally, in line with the research agenda for innovation studies and sustainability transitions elaborated by Smith et al (2010), the paper illustrates how actors in a social system respond to, translate, and enact interventions designed to promote industrial transformation, ultimately shaping the sustainability transition pathway.

Water-peptide dynamics during conformational transitions

Transitions between metastable conformations of a dipeptide are investigated using classical molecular dynamics simulation with explicit water molecules. The distribution of the surrounding water at different moments before the transitions and the dynamical correlations of water with the peptide's configurational motions indicate that the water molecules represent an integral part of the molecular system during the conformational changes, in contrast to the metastable periods when water and peptide dynamics are essentially decoupled.

Postcolonial transitions in Africa:Decolonization in West Africa and present day South Africa

Black Economic Empowerment is a highly debated issue in contemporary South Africa. Yet few South Africans realize that they are following a postcolonial trajectory already experienced by other countries. This paper presents a case study of British firms during decolonization in Ghana and Nigeria in the 1950s and 1960s, which saw a parallel development in business and society to that which occurred in South Africa in the 1990s and 2000s. Despite fundamental differences between these states, all have had to empower a majority of black citizens who had previously suffered discrimination on the basis of race. The paper employs concepts from social capital theory to show that the process of postcolonial transition in African economies has been more politically and socially disruptive than empowerment in Western countries. Historical research contributes to our understanding of the nature of institutional shocks in emerging economies.

Language independent on-off voice over IP source model with lognormal transitions

The recent explosive growth of voice over IP (VoIP) solutions calls for accurate modelling of VoIP traffic. This study presents measurements of ON and OFF periods of VoIP activity from a significantly large database of VoIP call recordings consisting of native speakers speaking in some of the world's most widely spoken languages. The impact of the languages and the varying dynamics of caller interaction on the ON and OFF period statistics are assessed. It is observed that speaker interactions dominate over language dependence which makes monologue-based data unreliable for traffic modelling. The authors derive a semi-Markov model which accurately reproduces the statistics of composite dialogue measurements. © The Institution of Engineering and Technology 2013.

Autonomous volume transitions of a polybase triblock copolymer gel in a chemically driven pH-oscillator

A pH-responsive ABA triblock copolymer, comprising poly(methyl methacrylate)-b/ock-poly(2-(diethylamino)ethyl methacrylate)-block-poly(methyl methacrylate) [PMMA-b-PDEA-b-PMMA], has been cast Into thin films with a well-defined microstructure. Small Angle X-ray Scattering (SAXS) and Atomic Force Microscopy (AFM) studies confirm that this copolymer forms a hydrogel consisting of PMMA spheres embedded within a polybase PDEA matrix, with the PMMA domains acting as physical cross-links. The hydrogel has a pH-reversible coil-globule transition at around pH 4.5. This responsive physical property was exploited by immersing a sample of copolymer hydrogel in an aqueous solution containing a cyclic pH-oscillating reaction, whereby the pH was continuously oscillated above and below the transition pH so as to induce autonomous volume transitions. The changes in microscopic and macroscopic length scales correlate closely during (de)swelling cycles, with affine behaviour occurring over five orders of magnitude. Copyright © 2007 WILEY-VCH Verlag GmbH & Co. KGaA,.

Dynamic complexity of chaotic transitions in high-dimensional classical dynamics:Leu-Enkephalin folding

Leu-Enkephalin in explicit water is simulated using classical molecular dynamics. A ß-turn transition is investigated by calculating the topological complexity (in the "computational mechanics" framework [J. P. Crutchfield and K. Young, Phys. Rev. Lett., 63, 105 (1989)]) of the dynamics of both the peptide and the neighbouring water molecules. The complexity of the atomic trajectories of the (relatively short) simulations used in this study reflect the degree of phase space mixing in the system. It is demonstrated that the dynamic complexity of the hydrogen atoms of the peptide and almost all of the hydrogens of the neighbouring waters exhibit a minimum precisely at the moment of the ß-turn transition. This indicates the appearance of simplified periodic patterns in the atomic motion, which could correspond to high-dimensional tori in the phase space. It is hypothesized that this behaviour is the manifestation of the effect described in the approach to molecular transitions by Komatsuzaki and Berry [T. Komatsuzaki and R.S. Berry, Adv. Chem. Phys., 123, 79 (2002)], where a "quasi-regular" dynamics at the transition is suggested. Therefore, for the first time, the less chaotic character of the folding transition in a realistic molecular system is demonstrated. © Springer-Verlag Berlin Heidelberg 2006.