Ignorance based inference of optimality in thermodynamic processes

We derive ignorance based prior distribution to quantify incomplete information and show its use to estimate the optimal work characteristics of a heat engine.Comment: Latex, 10 pages, 3 figure

Quantum heat engines and nonequilibrium temperature

A pair of two-level systems initially prepared in different thermal states and coupled to an external reversible work source, do not in general reach a common temperature at the end of a unitary work extraction process. We define an effective temperature for the final nonequilibrium but passive state of the bipartite quantum system and analyse its properties.Comment: Five pages, Accepted for publication in Physical Review

Work extremum principle: Structure and function of quantum heat engines

We consider a class of quantum heat engines consisting of two subsystems interacting via a unitary transformation and coupled to two separate baths at different temperatures $T_h > T_c$. The purpose of the engine is to extract work due to the temperature difference. Its dynamics is not restricted to the near equilibrium regime. The engine structure is determined by maximizing the extracted work under various constraints. When this maximization is carried out at finite power, the engine dynamics is described by well-defined temperatures and satisfies the local version of the second law. In addition, its efficiency is bounded from below by the Curzon-Ahlborn value $1-\sqrt{T_c/T_h}$ and from above by the Carnot value $1-(T_c/T_h)$. The latter is reached|at finite power|for a macroscopic engine, while the former is achieved in the equilibrium limit $T_h\to T_c$. When the work is maximized at a zero power, even a small (few-level) engine extracts work right at the Carnot efficiency.Comment: 16 pages, 5 figure

Onsager coefficients of a Brownian Carnot cycle

We study a Brownian Carnot cycle introduced by T. Schmiedl and U. Seifert [Europhys. Lett. \textbf{81}, 20003 (2008)] from a viewpoint of the linear irreversible thermodynamics. By considering the entropy production rate of this cycle, we can determine thermodynamic forces and fluxes of the cycle and calculate the Onsager coefficients for general protocols, that is, arbitrary schedules to change the potential confining the Brownian particle. We show that these Onsager coefficients contain the information of the protocol shape and they satisfy the tight-coupling condition irrespective of whatever protocol shape we choose. These properties may give an explanation why the Curzon-Ahlborn efficiency often appears in the finite-time heat engines

Autoimmune blistering diseases treated with glucocorticoids: An international study of steroid‐induced myopathy

BACKGROUND: Patients with autoimmune blistering diseases (AIBDs) are often exposed to chronic glucocorticoid (GC) treatment with many side effects. Glucocorticoid-induced myopathy (GIM) is a well-established side effect, which particularly affects the proximal muscles. The Glucocorticoid Toxicity Index (GTI) is a validated global assessment tool which quantifies GC toxicity over time. OBJECTIVES: This study marks the first study which analyses GIM in patients with AIBDs. The objectives of this study were to utilize the GTI to investigate the nature and prevalence of GIM in AIBD patients and explore potential risk factors. METHODS: This international cohort study was conducted in blistering disease clinics across Australia, China, Greece, Iran, Japan, the Philippines, Turkey and the United States of America between February 2019 and July 2023. The GTI tool was completed by a medical practitioner at each patient visit. Data related to glucocorticoid toxicity were entered into the Steritas GTI 2.0 to generate an aggregate improvement and cumulative worsening score at each visit. RESULTS: The study included 139 patients. There were 132 episodes of myopathy, and 47.5% of patients developed muscle weakness at some point during the study period. Cumulative GC dose correlated positively with myopathy risk, while average dose and treatment duration were not significant. Older age, male gender and obesity more than doubled the likelihood of developing GIM. CONCLUSIONS: GIM is a common side effect experienced by AIBD patients on GC treatment. Muscle weakness is less likely to occur if cumulative GC dose is less than 0.75 mg/kg/day. Studies of exercise programs to mitigate myopathy and newer alternative treatments to reduce cumulative GC dose should be considered

Negotiating their right to play: Asian-specific cricket teams and leagues in the UK and Norway

The cultural significance of ‘ethnic-specific’ cricket teams and leagues has received limited scholarly attention, despite increasing evidence of their various social functions. This paper aims to contribute to this under-researched area by drawing upon two individual case studies of Pakistani Muslim cricket teams; the first is based in the UK and the second in Norway. In this paper we argue that leisure and sport are key spaces for the delineation of social identities and hierarchies. We identify how cricket represents a significant social network within both the British and Norwegian Pakistani communities. In particular, we articulate the role of cricket in establishing and maintaining friendships and relationships, bolstering a sense of belonging, initiating diasporic sentiments, as well as being significant in the development of social capital, and resisting institutionalised white privilege

Implications of Form Invariance to the Structure of Nonextensive Entropies

The form invariance of the statement of the maximum entropy principle and the metric structure in quantum density matrix theory, when generalized to nonextensive situations, is shown here to determine the structure of the nonextensive entropies. This limits the range of the nonextensivity parameter to so as to preserve the concavity of the entropies. The Tsallis entropy is thereby found to be appropriately renormalized.Comment: 8 page

Extended gaussian ensemble solution and tricritical points of a system with long-range interactions

The gaussian ensemble and its extended version theoretically play the important role of interpolating ensembles between the microcanonical and the canonical ensembles. Here, the thermodynamic properties yielded by the extended gaussian ensemble (EGE) for the Blume-Capel (BC) model with infinite-range interactions are analyzed. This model presents different predictions for the first-order phase transition line according to the microcanonical and canonical ensembles. From the EGE approach, we explicitly work out the analytical microcanonical solution. Moreover, the general EGE solution allows one to illustrate in details how the stable microcanonical states are continuously recovered as the gaussian parameter $\gamma$ is increased. We found out that it is not necessary to take the theoretically expected limit $\gamma \to \infty$ to recover the microcanonical states in the region between the canonical and microcanonical tricritical points of the phase diagram. By analyzing the entropy as a function of the magnetization we realize the existence of unaccessible magnetic states as the energy is lowered, leading to a treaking of ergodicity.Comment: 8 pages, 5 eps figures. Title modified, sections rewritten, tricritical point calculations added. To appear in EPJ