Spectral temperature of π− mesons in proton–carbon interactions at 4.2 GeV/c in the framework of UrQMD model

Transverse momentum [Formula: see text] spectra of [Formula: see text] mesons calculated using ultra-relativistic quantum molecular dynamic (UrQMD) model (Latest version 3.3-p2) simulations have been compared with [Formula: see text] spectra of [Formula: see text] mesons, obtained experimentally in interactions of protons beam with carbon nuclei (propane as target) at momentum of 4.2 GeV/c. Spectral temperatures of negative pions obtained in experimental and UrQMD model simulated interactions of protons beam with carbon nuclei have been calculated by fitting both spectra with four different fitting functions, i.e. Hagedorn thermodynamic, Boltzmann distribution, Gaussian and exponential functions. These functions are used commonly for describing hadron spectra and their spectral temperatures. Hagedorn thermodynamic function has been recommended as the most suitable function to extract the temperature of negative pions at above momentum among these four functions.

Study on thermodynamic functions of traditional building windows based on characters

The indoor light environment of the building has an extremely important influence on its own use function, and there are many factors that affect the indoor light environment of the building, such as the surrounding environment of the building, the interior decoration of the building, and the design of the window. The window is used as the building envelope. An important part of the structure is responsible for lighting and ventilation to meet the requirements of the indoor environment. It exists as a lighting device for the building. The lighting performance of the windows not only meets people's requirements for living comfort, but also consumes energy in the building. It will have a very important impact. A variety of window shapes start from different functional needs. The comprehensive use of these window shapes by traditional buildings together creates its unique thermodynamic function. This article analyzes cold regions based on the analysis method of thermodynamic functions. Solar heat gain from traditional building windows.

Concavity, Response Functions and Replica Energy

In nonadditive systems, like small systems or like long-range interacting systems even in the thermodynamic limit, ensemble inequivalence can be related to the occurrence of negative response functions, this in turn being connected with anomalous concavity properties of the thermodynamic potentials associated with the various ensembles. We show how the type and number of negative response functions depend on which of the quantities E, V and N (energy, volume and number of particles) are constrained in the ensemble. In particular, we consider the unconstrained ensemble in which E, V and N fluctuate, which is physically meaningful only for nonadditive systems. In fact, its partition function is associated with the replica energy, a thermodynamic function that identically vanishes when additivity holds, but that contains relevant information in nonadditive systems.