Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

Percolation flow problems are discussed in many research fields, such as seepage hydraulics, groundwater hydraulics, groundwater dynamics and fluid dynamics in porous media. Many physical processes appear to exhibit fractional-order behavior that may vary with time, or space, or space and time. The theory of pseudodifferential operators and equations has been used to deal with this situation. In this paper we use a fractional Darcys law with variable order Riemann-Liouville fractional derivatives, this leads to a new variable-order fractional percolation equation. In this paper, a new two-dimensional variable-order fractional percolation equation is considered. A new implicit numerical method and an alternating direct method for the two-dimensional variable-order fractional model is proposed. Consistency, stability and convergence of the implicit finite difference method are established. Finally, some numerical examples are given. The numerical results demonstrate the effectiveness of the methods. This technique can be used to simulate a three-dimensional variable-order fractional percolation equation.

Eliciting metacognitive experiences and reflection in a year 11 chemistry classroom : an activity theory perspective

Concerns regarding students' learning and reasoning in chemistry classrooms are well documented. Students' reasoning in chemistry should be characterized by conscious consideration of chemical phenomenon from laboratory work at macroscopic, molecular/sub-micro and symbolic levels. Further, students should develop metacognition in relation to such ways of reasoning about chemistry phenomena. Classroom change eliciting metacognitive experiences and metacognitive reflection is necessary to shift entrenched views of teaching and learning in students. In this study, Activity Theory is used as the framework for intepreting changes to the rules/customs and tools of the activity systems of two different classes of students taught by the same teacher, Frances, who was teaching chemical equilibrium to those classes in consecutive years. An interpretive methodolgy involving multiple data sources was employed. Frances explicitly changed her pedagogy in the second year to direct students attention to increasingly consider chemical phenomena at the molecular/sub-micro level. Additonally, she asked students not to use the textbook until toward the end of the equilibrium unit and sought to engage them in using their prior knowledge of chemistry to understand their observations from experiments. Frances' changed pedagogy elicited metacognitive experiences and reflection in students and challenged them to reconsider their metacognitive beliefs about learning chemistry and how it might be achieved. While teacher change is essential for science education reform, students are not passive players in the change efforts and they need to be convinced of the viability of teacher pedagogical change in the context of their goals, intentions, and beliefs.

Deviance and Crime: Theory, Research and Policy

This book sensitizes the reader to the fact that there is substantial disagreement within the academic community, and among policymakers and the general public, over what behaviors, conditions (e.g., physical attributes), and people should be designated as deviant or criminal. Normative conceptions, the societal reaction/labeling approach, and the critical approach are offered as frameworks within which to study these definitions. A comprehensive explanation of theory and social policy on deviance is constructed.

Advancing Critcal Criminology: Theory and Application

Advancing Critical Criminology constitutes a timely addition to the growing body of knowledge on critical criminology scholarship. DeKeseredy and Perry have assembled a volume that provides scholars with an in-depth review of the extant literature on several major branches of criminology as well as examples of how critical criminologists apply their theoretical perspectives to substantive topics, such as drugs, interpersonal violence, and rural crime. Accordingly, this work is divided into two main sections: overviews of theories and applications. Each chapter provides a summary of work in a specific area, along with suggestions for moving the field forward. This reader is unique in its choice of topics, which have often been overlooked in the past. An expert collection of international scholars, Advancing Critical Criminology is certain to stimulate lively debates and generate further critical social scientific work in this field.

Friedman Economic Policies, Social Exclusion and Crime: Toward a Gendered Left Realist Subcultural Theory.

Left realists contend that people lacking legitimate means of solving the problem of relative deprivation may come into contact with other frustrated disenfranchised people and form subcultures, which in turn, encourage criminal behaviors. Absent from this theory is an attempt to address how, today, subcultural development in North America and elsewhere is heavily shaped simultaneously by the recent destructive consequences of right-wing Friedman or Chicago School economic policies and marginalized men's attempts to live up to the principles of hegemonic masculinity. The purpose of this paper, then, is to offer a new left realist theory that emphasizes the contribution of these two key determinants.

Contemporary Critical Criminology

The concept of critical criminology – that crime and the present day processes of criminalization are rooted in the core structures of society – is of more relevance today than it has been at any other time. Written by an internationally renowned scholar, Contemporary Critical Criminology introduces the most up-to-date empirical, theoretical, and political contributions made by critical criminologists around the world. In its exploration of this material, the book also challenges the erroneous but widely held notion that the critical criminological project is restricted to mechanically applying theories to substantive topics, or to simple calling for radical political, economic, cultural, and social transformations. This book is an essential source of reference for both undergraduate and postgraduate students of Criminology, Criminal Theory, Social Policy, Research Methodology, and Penology.

Legal Institutions and Collective Memories

In recent decades the debate among scholars, lawyers, politicians and others about how societies deal with their past has been constant and intensive. 'Legal Institutions and Collective Memories' situates the processes of transitional justice at the intersection between legal procedures and the production of collective and shared meanings of the past. Building upon the work of Maurice Halbwachs, this collection of essays emphasises the extended role and active involvement of contemporary law and legal institutions in public discourse about the past, and explores their impact on the shape that collective memories take in the course of time. The authors uncover a complex pattern of searching for truth, negotiating the past and cultivating the art of forgetting. Their contributions explore the ambiguous and intricate links between the production of justice, truth and memory. The essays cover a broad range of legal institutions, countries and topics. These include transitional trials as 'monumental spectacles' as well as constitutional courts, and the restitution of property rights in Central and Eastern Europe and Australia. The authors explore the biographies of victims and how their voices were repressed, as in the case of Korean Comfort Women. They explore the role of law and legal institutions in linking individual and collective memories in the transitional period through processes of lustration, and they analyse divided memories about the past and their impact on future reconciliation in South Africa. The collection offers a genuinely comparative approach, allied to cutting-edge theory.

Introduction: Is a General Theory of Violence Possible?

"There once was a man who aspired to be the author of the general theory of holes. When asked ‘What kind of hole—holes dug by children in the sand for amusement, holes dug by gardeners to plant lettuce seedlings, tank traps, holes made by road makers?’ he would reply indignantly that he wished for a general theory that would explain all of these. He rejected ab initio the—as he saw it—pathetically common-sense view that of the digging of different kinds of holes there are quite different kinds of explanations to be given; why then he would ask do we have the concept of a hole? Lacking the explanations to which he originally aspired, he then fell to discovering statistically significant correlations; he found for example that there is a correlation between the aggregate hole-digging achievement of a society as measured, or at least one day to be measured, by econometric techniques, and its degree of techno- logical development. The United States surpasses both Paraguay and Upper Volta in hole-digging; there are more holes in Vietnam than there were. These observations, he would always insist, were neutral and value-free. This man’s achievement has passed totally unnoticed except by me. Had he however turned his talents to political science, had he concerned himself not with holes, but with modernization, urbanization or violence, I find it difficult to believe that he might not have achieved high office in the APSA." (MacIntyre 1971, 260)

Contemporary State Terrorism: Theory and Practice

This volume aims to 'bring the state back into terrorism studies' and fill the notable gap that currently exists in our understanding of the ways in which states employ terrorism as a political strategy of internal governance or foreign policy. Within this broader context, the volume has a number of specific aims. First, it aims to make the argument that state terrorism is a valid and analytically useful concept which can do much to illuminate our understanding of state repression and governance, and illustrate the varieties of actors, modalities, aims, forms, and outcomes of this form of contemporary political violence. Secondly, by discussing a rich and diverse set of empirical case studies of contemporary state terrorism this volume explores and tests theoretical notions, generates new questions and provides a resource for further research. Thirdly, it contributes to a critical-normative approach to the study of terrorism more broadly and challenges dominant approaches and perspectives which assume that states, particularly Western states, are primarily victims and not perpetrators of terrorism. Given the scarceness of current and past research on state terrorism, this volume will make a genuine contribution to the wider field, particularly in terms of ongoing efforts to generate more critical approaches to the study of political terrorism. This book will be of much interest to students of critical terrorism studies, critical security studies, terrorism and political violence and political theory in general.