The archaeology of Byzantium is the archaeology of an empire whose chronological bounds, broadly speaking, spanned the fourth through fifteenth century AD. The authors whose works are collected in this handbook examine methods and practice of Byzantine archaeology as well as the materials typically encountered in artifacts produced within the imperial boundaries. Byzantine archaeology is still a relatively young discipline, and, while vast in its scope and ambition, work in the field tends to be challenging to access. This volume aims to remedy this situation by providing current views of the nature of Byzantine archaeology, exploring crucial studies which elucidate salient features of the empire’s people, as well as offering glimpses of how things may develop in the near future.

Learning Outcomes

After reading this chapter, the reader will be able to

• Learn the basic concept of the theory of probability

• List the assumptions used in the derivation of Maxwell's speed distribution law

• Derive Maxwell's speed distribution law and test its validity experimentally

• Calculate average, root mean square and most probable speed, energy, and momentum in one, two, and three dimensions, respectively

• State and prove the law of equipartition of energy

• Calculate the specific heat of gases

• Solve numerical problems and multiple choice questions on the distribution of molecular speed, energy, and momentum

3.1 Introduction

In Chapter 2, various characteristic features of a gaseous system based on the model of the kinetic theory of gases (KTG) have been discussed elaborately. Macroscopic properties and various relations among the thermodynamic variables have been explained in terms of this kinetic model.

According to the assumptions used in this model, a gaseous system is composed of a large number of particles (atoms or molecules) with practically no volume occupied by them. Most of the times, these molecules move randomly through empty space at temperatures above absolute zero, and such motions remain unaffected by the presence of other particles. This motion of the molecules is extremely chaotic and is characterized by straight-line trajectories interrupted by collisions with other molecules or with a physical boundary. In such a collision, the transfer of kinetic energy with a change in direction takes place depending on the nature of the relative kinetic energies of the particles. Any individual molecule collides with others at a huge rate, typically of the order of a billion times per second. This chapter is focused to present a comprehensive and quantitative discussion on the distributions of velocities, energies, and momenta of these molecules in various dimensions.

Measurement of the velocities of the molecules at a given time leads to a large distribution of values; some molecules may move very slowly and others very quickly. As these molecules move constantly in different directions, the velocity could be momentarily equal to zero

Learning Outcomes

After reading this chapter, the reader will be able to

• Gather knowledge about state function and its properties

• Understand the meaning of internal energy and its significance in formulating the first law of thermodynamics

• Formulate the first law of thermodynamics and apply it to various thermodynamic processes

• Grasp the idea of various thermodynamic processes and the related work done in these processes

• Find a relation between specific heats at constant volume and constant pressure for ideal and real gases

• Find expression for isothermal compressibility and volume expansion coefficient for ideal and real gases

• Understand how the temperature of air varies with height assuming an adiabatic process

• Solve numerical problems and multiple choice questions on the first law of Thermodynamics

8.1 Introduction

Systems, surroundings, and interactions between them play a vital role in the development of the subject—thermodynamics. To extract out the physical properties of a thermodynamic system, it is essential to have knowledge about the fundamental laws and concepts of thermodynamics. For example, heat and work are two interrelated concepts. Heat is the transfer of thermal energy between two bodies that are at different temperatures and are not equal to thermal energy. Work is the external physical parameter used to transfer energy between a system and its surroundings. Further, work is needed to create heat and to transfer the thermal energy. Thus, work and heat together allow systems to exchange energy. The relationship between these two physical quantities, heat and work, can be analyzed through the laws and concepts of thermodynamics. The interaction between heat and other types of energy is primarily focused on the topic of thermodynamics. To understand the relationship between heat and work, it is required to have an idea about a third linking factor, known as the change in internal energy

The archaeology of Byzantium is the archaeology of an empire whose chronological bounds, broadly speaking, spanned the fourth through fifteenth century AD. The authors whose works are collected in this handbook examine methods and practice of Byzantine archaeology as well as the materials typically encountered in artifacts produced within the imperial boundaries. Byzantine archaeology is still a relatively young discipline, and, while vast in its scope and ambition, work in the field tends to be challenging to access. This volume aims to remedy this situation by providing current views of the nature of Byzantine archaeology, exploring crucial studies which elucidate salient features of the empire’s people, as well as offering glimpses of how things may develop in the near future.

Individuals engage in a variety of narcissistic crimes. Scientists such as Stephen Breuning and Erif Poehlman committed serious research misconduct for which they were criminally charged. Actresses Lori Loughlin and Felicity Huffman were involved in the Varsity Blues college admission scandal. Those committing sex offenses include Dr. Robert Hadden, Jeffrey Epstein, Ghislaine Maxwell, and Donald Trump.

In her memoir, Ilina Sen reflects on the political currents that shaped a generation of civil liberties activists in the 1960s and 1970s, including her own journey and that of her partner, Binayak Sen. Both were members of the PUCL, having served as its office-bearers. She describes how Gandhian, democratic-socialist, and communist political traditions in India inspired a generation of young, urban thinkers and activists who sought to reimagine their role in public life. For some, this political commitment demanded a renunciation of middle-class comforts of city life, to move to and live in rural areas, immersing themselves in grassroots social movements and taking on leadership roles within emerging movements. For others, like the members of the PUCL, it meant channelling their energies from the urban centres, supporting various movements using available resources to sustain and amplify movements. Through this, a politics of allyship took shape, through creation of platforms that provided emerging movement groups visibility and voice.

This chapter documents how cultural variation in emotion is not arbitrary, but follows a “cultural logic.” It examines how cultural models of independence and interdependence – along with their associated interpersonal goals and focus – co-occur with the emotions people both value (their ideal affect) and actually experience. For example, people in independent cultures (e.g., the United States) tend to value high arousal positive states like excitement more, and report socially disengaging emotions like anger more than people in interdependent cultures (e.g., East Asia), who tend to place greater value on low arousal positive states like calm and more frequently report socially engaging emotions like shame. These differences emerge across every level of the cultural cycle: in individual behaviors, social interactions, institutional practices, and broader cultural ideas. The chapter highlights how these cultural logics shape various aspects of life, including social judgments, resource sharing, and well-being. and concludes by outlining a roadmap for future research.

As allies, civil liberties activists have often reflected on normative questions and searched for shared, general and internally consistent principles to act upon. G. Haragopal and K. Balagopal, both members of the Andhra Pradesh Civil Liberties Committee (APCLC), raised the questions in the above quote. Others like Smitu Kothari and Harsh Sethi asked similar questions of themselves and their fellow activists. They ask, for instance, ‘How are we to react to the violence that the “revolutionary” groups engage in—be it against the state apparatus, other revolutionary groups, or against a general mass of the population?’ (Kothari and Sethi 1989, 13). A second dilemma emerged from the state being both the ultimate appellate authority and the perpetrator. In the context of communal violence, where the government and the local administration might have been complicit, civil liberties groups wondered who the appropriate appellate authority should be. ‘When communal violence is at its fever pitch, do we have any instrumentality other than the state to appeal to?’ (Kothari and Sethi 1989, 14). As we can see, these questions have both a political dimension (that is, to do with strategy formulation) and an ethical one (that is, to do with developing a code of conduct for themselves). These debates helped allies understand and build their own identity. In this chapter, I analyse two recurring debates within and across civil liberties groups to understand how these debates shaped the organisational identity of ally groups.