9/9/2023 0 Comments Boltzmann entropycan be calculated from macroscopic measurements of a system, and as such is equivalent to Clausius's macroscopic definition of entropy) and there are quite strong qualitative arguments as to why it should 'rea. In fact, by using a novel macroscopic-statistical approach, the entropy variation of a physical system is studied. The point is that the Boltzmann entropy is a different concept from the information theoretic point of view, but it is 'accessible' (i.e. The gained relation, expressed by energy components of the system, is considered with no constraints on the structure of the system but has a common basis with the Boltzmann entropy equation. Dependence of the entropy and rate of the energy components is gained from the novel energy conservation principle. One of the advantages of this novel approach is that the volume of the needed calculations will be decreased mainly in comparison with the Boltzmann entropy equation. Despite the classical mechanics that all particles are studied, in the novel approach, "particular processes" as all processes that have the same active independent energy components are studied at "various conditions" in other words, all conditions that same energy amount is applied to the system. The variation of the "energy structure equation”, as an equation to formulate the performed process using activated energy components of the system and their dependence, is studied in different possible paths by using the energy conservation principle directly. In this paper, an entropy equation is gained by using a new quasi-statistical approach to the physical processes as well as a novel energy conservation principle. In fact, the possible process performing states and their entropy variations will be determined at a specific energy level. The definition of Boltzmanns entropy is quite a lot general and its idea has been used to introduce others notions of entropy in mathematics and computation. On my textbook, it is written that is the number of accessible microstates of the system. Based on the second law of thermodynamics with a glance at the Boltzmann entropy equation, it can be deduced that physical processes are done in a direction that the probability of the system and total entropy increase. The Boltzmann's entropy formula S k b ln is valid both for equilibrium and non-equilibrium systems. Both are a measure for the microstates available to a system, but the Gibbs entropy does not require the system to be in a single, well-defined macrostate. School of Metallurgy and Material Engineering, Iran University of Science and Technology, Tehran, IranĮnergy space, energy conservation principle, entropy, energy structure, statistical mechanics, Boltzmann entropy equation Abstractīoltzmann entropy equation is gained according to the statistical mechanics directly and general dependence between entropy and probability is obtained. The Gibbs entropy is the generalization of the Boltzmann entropy holding for all systems, while the Boltzmann entropy is only the entropy if the system is in global thermodynamical equilibrium. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
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