The thermodynamic phase space of Gauss-Bonnet (GB) AdS black holes is extended, taking the inverse GB coupling constant as a new pressure $P_{\mathrm{GB}}$. We studied critical behavior associated with $P_{\mathrm{GB}}$ in extended at fixed cosmological and electric charge. result shows that when are neutral, points can only exist five dimensional GB-AdS spherical topology, corresponding exponents identical to those for Van der Waals system. For charged holes, it shown there be one point...

The extended thermodynamics of static charged AdS black holes in conformal gravity is analyzed. $P-V$ criticality these has some unusual features. There exists a single critical point with temperature $T_c$ and pressure $P_c$. At fixed $T>T_c$ (or at $P>P_c$), there are two zeroth order phase transition points but no first points. systems favors large states constant $T$, or high $P$.

Treating the cosmological constant as thermodynamic pressure and its conjugate volume, we investigate critical behavior of third order Lovelock black holes in diverse dimensions. For hole horizons with different normalized sectional curvature $k=0,\pm1$, corresponding behaviors differ drastically. $k=0$, there is no point extended phase space. $k=-1$, a single any dimension $d\geq 7$, for $k=+1$, $7$ two points $8,9,10,11$ We studied structures all possible cases.

Abstract A new formalism for thermodynamics of AdS black holes called the restricted phase space (RPST) is proposed. The construction based on top Visser’s holographic thermodynamics, but with radius fixed as a constant. Thus RPST free ( P , V ) variables inherits central charge and chemical potential pair conjugate thermodynamic variables. In this formalism, Euler relation Gibbs–Duhem equation hold simultaneously first law hole which guarantee appropriate homogeneous behaviors mass...

The thermodynamics for Kerr-AdS black hole in four dimensions is revisited using the recently proposed restricted phase space formalism, which includes central charge $C$ of dual CFT and chemical potential $\mu$, but excludes pressure conjugate volume, as thermodynamic variables. Euler relation holds automatically, first order homogeneity mass zeroth intensive variables are made explicit. Thermodynamic processes involving each pair studied some detail, with emphasis on scaling properties...

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Climate change has had an almost irreversible impact on the distribution patterns of tree species Tibetan Plateau, driving some vulnerable to brink extinction. Therefore, it is important assess vulnerability in climate-sensitive areas under following three IPCC-CMIP6 scenarios: SSP126, SSP370, and SSP585. The MaxEnt model was used predict adaptive for one endangered (Acer wardii W. Smith (A. wardii)) six maple plants Plateau current future conditions. We then evaluated their using landscape...

We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in ($2+1$) dimensions, which the scalar field couples gravity a nonminimal way, it also itself with self-interacting potential solely determined by metric ansatz. A negative cosmological constant naturally emerges as term potential. The is static circularly symmetric contains curvature singularity at origin. conditions for contain 0, 1, 2 horizons are identified, effects of electric charges on size black hole radius...

Inspired by the recent studies on thermodynamics of AdS black holes in restricted phase space formalism, we propose a similar formalism for non-AdS with variable Newton constant. It is shown that, introducing new variables N,μ, where N proportional to inverse constant and μ its conjugate variable, referred as chemical potential, hole can be formulated form which consistent standard extensive open macroscopic systems, first law Euler relation hold simultaneously. This has profound...

The thermodynamics of charged spherically symmetric AdS black holes in conformal gravity is revisited using the recently proposed restricted phase space (RPS) formalism. This formalism avoids all bizarreness that arose extended for this model. It found model may belong to a new universality class which different from previously studied cases under RPS Besides distinguished isocharge $T-S$ and isothermal $\Phi-Q_e$ behaviors, absence Hawking-Page transition another notable feature. On other...

The extensivity for the thermodynamics of general $D$-dimensional rotating black holes with or without a cosmological constant can be proved analytically, provided effective number microscopic degrees freedom and chemical potential are given respectively as $N=L^{D-2}/G, \mu= GTI_D/L^{D-2}$, where $G$ is variable Newton constant, $I_D$ Euclidean action $L$ length scale. In cases i.e. Myers-Perry holes, physical mass intensive variables expressed explicit macro state functions in extensive...

The extended phase-space thermodynamics and heat engines for static spherically symmetric black hole solutions of four-dimensional conformal gravity are studied in detail. It is argued that the equation states (EOS) such holes always branched, any continuous thermodynamical process cannot drive system from one branch EOS into another branch. Meanwhile, volume bounded above, making super-entropic may also be certain range temperature. Carnot Stirling associated to shown distinct each other....

In this paper, we are mainly concerned with the physically interesting static Schrödinger--Hartree--Maxwell type equations $(-\Delta)^{s}u(x)=(\frac{1}{|x|^{\sigma}}\ast |u|^{p})u^{q}(x) \,\,\ {in} \,\,\, \mathbb{R}^{n}$ involving higher-order or fractional Laplacians, where $n\geq1$, $0<s:=m+\frac{\alpha}{2}<\frac{n}{2}$, $m\geq0$ is an integer, $0<\alpha\leq2$, $0<\sigma<n$, $0<p\leq\frac{2n-\sigma}{n-2s}$, and $0<q\leq\frac{n+2s-\sigma}{n-2s}$. We first prove super poly-harmonic...

The recently proposed restricted phase space thermodynamics is shown to be applicable a large class of higher dimensional curvature gravity models coupled Maxwell field, which are known as black hole scan and labeled by the spacetime dimension d highest order k Lanczos-Lovelock densities appearing in action. Three typical example cases with (d,k)=(5,1),(5,2) (6,2) chosen studied some detail. These representatives Einstein-Hilbert, Chern-Simons Born-Infield like models. Our study indicates...

Using the near-detailed-balance distribution function obtained in our recent work, we present a set of covariant gravito-thermal transport equations (i.e. flow various charges as linear response to thermodynamical forces) for neutral relativistic gases generic stationary spacetime. All relevant tensorial coefficients are worked out and presented using some particular integration functions (α,ζ), where α=−βμ ζ=βm is coldness, with β being inverse temperature μ chemical potential. It shown...

Betula albosinensis serves as an important constructive and afforestation tree species in mountainous areas. Its suitable habitat quality are highly vulnerable to the climate. However, few studies have centered on shrinkage, expansion, fragmentation of B. forests under climate change. In this study, Random Forest model was employed predict current future trends shrinking expanding albosinensis, while a composite landscape index utilized evaluate habitats albosinensis. The results indicated...

In this study, a method for predicting the thermal shock life of coatings is proposed, and model based on high temperature test three-dimensional heat transfer analysis established. Firstly, at different cooling heating cycle temperatures obtained through designed testing device silicide wide-temperature range from 500℃ to 3000℃. Secondly, actual thickness coating continuous oxidation in are taken into consideration. Based finite element method, with carried out obtain average value maximum...

Based on the recently proposed framework of general relativistic stochastic mechanics [J. Stat. Phys. 190, 193 (2023)1572-961310.1007/s10955-023-03204-5; J. 181 (2023)1572-961310.1007/s10955-023-03205-4] and thermodynamics [SciPost Core 7, 082 (2024)2666-936610.21468/SciPostPhysCore.7.4.082] at ensemble level, this work focuses trajectory level. The first law is reformulated, fluctuation theorems are proved with an emphasis maintaining fully covariance choice observers.

As the contradiction between vegetation growth and soil moisture (SM) demand in arid zones gradually expands, accurately obtaining SM data is crucial for ecological construction. Remote sensing products limit small-scale studies due to low resolution, emergence of downscaling solves this problem. This study proposes an improved semi-physical method. The effects environmental factors on different geographical (Windy Sand Hills, Flood Plains, Loess Yuan, Hilly Loess, Earth-rock Hills Rocky...

Zenith Tropospheric Delay (ZTD) is a significant source of atmospheric error in the Global Navigation Satellite System (GNSS). Developing high-accuracy ZTD prediction model essential for both GNSS positioning and meteorology. To address challenges incomplete information extraction gradient explosion present current single combined neural network models that utilize serial ensemble learning, this study proposes VMD-Informer-BiLSTM-EAA hybrid based on parallel learning strategy. Additionally,...