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The evolution equation for inhomogeneous and anisotropic temperature fluctuations inside a medium is derived within the ambit of Boltzmann Transport Equation. Also, taking some existing realistic inputs we have analyzed the Fourier space…

High Energy Physics - Phenomenology · Physics 2016-03-17 Trambak Bhattacharya , Prakhar Garg , Raghunath Sahoo , Prasant Samantray

Density-wave instabilities have been observed and studied in a multitude of materials. Most recently, in the context of unconventional superconductors like the iron-based superconductors, they have excited considerable interest. We analyze…

Strongly Correlated Electrons · Physics 2018-08-31 Mareike Hoyer , Jörg Schmalian

The displacement fluctuations of mirrors in optomechanical devices, induced via thermal expansion by temperature fluctuations due either to thermodynamic fluctuations or to fluctuations in the photon absorption, can be made smaller than…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Cerdonio , L. Conti , A. Heidmann , M. Pinard

Magnetic field fluctuations measured in the heliosheath by the Voyager spacecraft are often characterized as compressible, as indicated by a strong fluctuating component parallel to the mean magnetic field. However, the interpretation of…

Space Physics · Physics 2024-08-01 L. -L. Zhao , G. P. Zank , M. Opher , B. Zieger , H. Li , V. Florinski , L. Adhikari , X. Zhu , M. Nakanotani

We consider linear elliptic equations in divergence form with stationary random coefficients of integrable correlations. We characterize the fluctuations of a macroscopic observable of a solution to relative order $\frac{d}{2}$, where $d$…

Analysis of PDEs · Mathematics 2019-10-25 Mitia Duerinckx , Felix Otto

Thermal noise of optical reference cavities sets a fundamental limit to the frequency instability of ultra-stable lasers. Using Levin's formulation of the fluctuation-dissipation theorem we correct the analytical estimate for the spacer…

Optics · Physics 2012-10-10 Thomas Kessler , Thomas Legero , Uwe Sterr

We derive a formula that defines quantum fluctuations of energy in subsystems of a hot relativistic gas. For small subsystem sizes we find substantial increase of fluctuations compared to those known from standard thermodynamic…

High Energy Physics - Phenomenology · Physics 2021-12-15 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski , Rajeev Singh

In the Master's thesis of the author, we investigate certain aspects of gravitational physics that emerge from stochastic toy models of holographic gauge theories. We begin by reviewing field theory thermodynamics, black hole thermodynamics…

High Energy Physics - Theory · Physics 2014-07-16 Connor Behan

Thermal fluctuations of microtubules (MTs) and other cytoskeletal filaments govern to a great extent the complex rheological properties of the cytoskeleton in eukaryotic cells. In recent years, much effort has been put into capturing the…

Soft Condensed Matter · Physics 2011-10-26 Sander L. Poelert , Harrie H. Weinans , Amir A. Zadpoor

A recent study [Annals Phys. 455 (2023) 169394, e-Print: 2204.01901 [gr-qc]] examined the thermodynamic behavior of an axially symmetric black hole within a non-commutative framework that mimics the effect of an angular momentum. However,…

General Relativity and Quantum Cosmology · Physics 2025-12-17 A. A. Araújo Filho , Iarley P. Lobo

In this paper we construct the action describing dynamics of the particle moving in curved spacetime, with a non-trivial momentum space geometry. Curved momentum space is the core feature of theories where relative locality effects are…

High Energy Physics - Theory · Physics 2013-07-11 Jerzy Kowalski-Glikman , Giacomo Rosati

We derive some of the properties of blackbody radiation using thermodynamic identities. A few of the results reported earlier (in Part 1 of the present paper) will be re-derived here from a different perspective. We argue that the…

Optics · Physics 2018-03-02 Masud Mansuripur

We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black…

High Energy Physics - Theory · Physics 2023-05-31 Gabriel Arenas-Henriquez , Felipe Diaz , Yerko Novoa

We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Behnam Pourhassan , Seyed Hossein Hendi , Sudhaker Upadhyay , Izzet Sakalli , Emmanuel N. Saridakis

We present an extension of quantum field theory to the case when the spacetime topology fluctuates (spacetime foam). In this extension the number of bosonic fields becomes a variable and the ground state is characterized by a finite…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Kirillov

Within the framework of macroscopic quantum electrodynamics and scattering theory, we derive the general expressions for the variance of radiative heat transfer between two arbitrarily shaped objects placed in an arbitrary environment in…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 F. Herz , C. Kathmann , S. -A. Biehs

We show that the range of applicability of the change of representation formula derived in J. Math. Phys. \textbf{54}, 033513 (2013) [arXiv:1302.6928] is very narrow and extend it to include all physical applications, particularly,…

Mathematical Physics · Physics 2014-03-21 Mustapha Azreg-Aïnou

An important yet perplexing result from work in the 90s and 00s is the near-unity value of the ratio of fluctuations in the vacuum energy density of quantum fields to the mean in a collection of generic spacetimes. This was done by way of…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Hing-Tong Cho , Jen-Tsung Hsiang , Bei-Lok Hu

We study the corrected entropy due to thermal fluctuation and their effect on the thermodynamics of a conformally dressed black hole in three dimensions. We find that the thermal fluctuation affects the entropy significantly for small black…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Himanshu Kumar Sudhanshu , Sudhaker Upadhyay , Dharm Veer Singh , Sunil Kumar

We study the local disorder in the deformation of amorphous materials by decomposing the particle displacements into a continuous, inhomogeneous field and the corresponding fluctuations. We compare these fields to the commonly used…

Statistical Mechanics · Physics 2007-09-15 C. Goldenberg , A. Tanguy , J. -L. Barrat
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