Finite Size Scaling (FSS) is a very powerful tool, particularly useful in extracting numerical estimates from Monte Carlo simulations. Numerical simulations give results on systems of finite size, where phase transitions cannot occur. Thus, a fundamental task in Monte Carlo studies of phase transitions is the extraction of results holding in the thermodynamic limit from data obtained in systems...

Singularities of thermodynamic quantities in equilibrium critical phenomena are characterized by well defined critical exponents. The set of critical exponents determine the universality class of a system in the thermodynamic limit. In numerical simulations, the results are very often limited by the finite system size L. There is rounding and shifting of critical singularities in finite systems...

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the thermodynamic Bethe ansatz. Explicit expressions are given for the one and two-point functions. Typeset using REVTEX 1

Department of Mechanical Engineering, National Institute of Technology Silchar Silchar, Assam, India E-mail:[email protected] or [email protected] ABSTRACT A finite-time thermodynamic modelling and simulation of irreversible Diesel cycle engines has been developed considering non-linear variable specific heats with temperature, heat transfer loss, internal irreversibility effects and engin...

On the basis of introducing the origin and development of finite time thermodynamics (FTT), this paper reviews the progress in FTT optimization for internal combustion engine (ICE) cycles from the following four aspects: the studies on the optimum performances of air standard endoreversible (with only the irreversibility of heat resistance) and irreversible ICE cycles, including Otto, Diesel, A...

The practical untenability of the quasi-static assumption makes any realistic engine intrinsically irreversible and its operating time finite, thus implying friction effects at short cycle times. An important technological goal is thus the design of maximally efficient engines working at the maximum possible power. We show that, by utilising shortcuts to adiabaticity in a quantum engine cycle, ...

1. Approximations of arbitrarily large but finite systems are often mistaken for infinite idealizations in statistical and thermal physics. The problem is illustrated by thermodynamically reversible processes. They are approximations of processes requiring arbitrarily long, but finite times to complete, not processes requiring an actual infinity of time. 2. The present debate over whether phase...

In this paper, a finite-time control scheme is presented for stabilization of the satellite chaotic attitude around its equilibrium point when its attitude is confused by a disturbed torque. Controllers and settling time of stabilizaton are obtained, based on the Lyapunov stability theorem and finite-time control scheme. This method is satisfied for any initial condition. Numerical simulations ...

The possibility of simultaneous opposite running thermodynamic arrows of time has been raised on several occasions, for didactic purposes [1], for general interest [2], and to confound by “obvious” counterexample [2]. A difficulty in these considerations is the absence of a welldefined framework. For example, one might argue against opposing arrows as follows. Let the systems be A and B. An obs...

We derive non-perturbative sum rules in SU(N) lattice gauge theory at finite temperature. They relate the susceptibilities of the trace anomaly and energy-momentum tensor to temperature derivatives of the thermodynamic potentials. Two of them have been derived previously in the continuum and one is new. In all cases, at finite latttice spacing there are important corrections to the continuum su...