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We calculate the Lyapunov exponents in a classical molecular dynamics framework. The system is composed of few hundreds particles interacting either through Yukawa (Nuclear) or Slater-Kirkwood (Atomic) forces. The forces are chosen to give…

chao-dyn · Physics 2009-10-28 A. Bonasera , V. Latora , A. Rapisarda

We consider a quantum system with $N$ degrees of freedom which is classically chaotic. When $N$ is large, and both $\hbar$ and the quantum energy uncertainty $\Delta E$ are small, quantum chaos theory can be used to demonstrate the…

chao-dyn · Physics 2009-10-28 Mark Srednicki

Parikh and Wilczek have shown that Hawking radiation's spectrum cannot be strictly thermal. Such a non-strictly thermal character implies that the spectrum is also not strictly continuous and thus generates a natural correspondence between…

General Relativity and Quantum Cosmology · Physics 2012-10-30 Christian Corda

We show that "particle production" by gravitational field, especially the Hawking effect, may be treated as some quantum inertial effect, with the energy of Hawking radiation as some vacuum energy shift. This quantum inertial effect is…

High Energy Physics - Theory · Physics 2015-10-23 Yu-Lei Feng , Yi-Xin Chen

Analog Hawking radiation emitted by a perfectly reflecting mirror in (1+3)-dimensional flat spacetime is investigated. This is accomplished by studying the reflected frequency and momentum based on Einstein's mirror, instead of the…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Kuan-Nan Lin , Pisin Chen

In this work, we investigate the properties of Hawking radiation induced by the quantum atmosphere beyond the event horizon, by considering two detectors in Schwarzschild spacetime with the parameterized Hartle-Hawking temperature.…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Shuai Zhang , Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang

We give a detailed treatment of the back-reaction effects on the Hawking spectrum in the late-time expansion within the semiclassical approach to the Hawking radiation. We find that the boundary value problem defining the action of the…

High Energy Physics - Theory · Physics 2013-05-30 Pietro Menotti

We present an analytic derivation of Hawking radiation for an arbitrary (spatial) dispersion relation $\omega(k)$ as a model for ultra-high energy deviations from general covariance. It turns out that the Hawking temperature is proportional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Schützhold , William G. Unruh

I consider the problem of reconciling "tunneling" approaches to black-hole radiation with the treatment by quantum field theory in curved space-time. It is not possible to do this completely, but using what appears to be the most direct and…

High Energy Physics - Theory · Physics 2019-07-17 Adam D. Helfer

Cosmological first-order phase transitions are a well-motivated source of stochastic gravitational waves (GWs), but most predictions are made based on the highly idealized model of perfectly spherical vacuum bubbles, neglecting thermal…

High Energy Physics - Phenomenology · Physics 2026-01-23 Ligong Bian , Guangshang Chen , Song Li , Hongxin Wang , Yang Xiao , Jin Min Yang , Yang Zhang

Event horizons of astrophysical black holes and gravitational analogues have been predicted to excite the quantum vacuum and give rise to the emission of quanta, known as Hawking radiation. We experimentally create such a gravitational…

General Relativity and Quantum Cosmology · Physics 2010-12-23 F. Belgiorno , S. L. Cacciatori , M. Clerici , V. Gorini , G. Ortenzi , L. Rizzi , E. Rubino , V. G. Sala , D. Faccio

An upper bound on Lyapunov exponent of a thermal many body quantum system has been conjectured recently. In this work, we attempt to achieve a physical understanding of what prevents a system from violating this bound. To this end, we…

High Energy Physics - Theory · Physics 2023-11-27 Swapnamay Mondal

It is shown in a variant of two dimensional dilaton gravity theories that an arbitrary, localized massive source put in an initially regular spacetime gives rise to formation of the wormhole classically, without accompanying the curvature…

High Energy Physics - Theory · Physics 2017-02-01 M. Hotta , M. Yoshimura

Using the analogy between the description of coherent light propagation in a medium with Kerr nonlinearity by means of nonlinear Schr\"odinger equation and that of a dissipationless liquid we propose an optical analogue of the Laval nozzle.…

Optics · Physics 2015-05-14 I. Fouxon , O. V. Farberovich , S. Barad , V. Fleurov

Manifestation of dynamical instability and Hamiltonian chaos in the fundamental near-resonant matter-radiation interaction has been found analitically and in a Monte Carlo simulation in the behavior of atoms moving in a rigid optical…

Quantum Physics · Physics 2008-05-13 V. Yu. Argonov , S. V. Prants

Rotation of non-circular hydraulic jumps is a recent experimental observation that lacks a theory based on first principles. Here we furnish a basic theory of this phenomenon founded on the shallow-water model of the circular hydraulic…

Fluid Dynamics · Physics 2016-08-24 Arnab K. Ray , Niladri Sarkar , Abhik Basu , Jayanta K. Bhattacharjee

The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system of equations describing in terms of ray trajectories a very wide family of wave-like phenomena (including diffraction and interference) going much beyond…

Quantum Physics · Physics 2008-09-16 A. Orefice , R. Giovanelli , D. Ditto

I present a microscopic description of Hawking radiation in sonic black holes. A one-dimensional Fermi-degenerate liquid squeezed by a smooth barrier forms a transonic flow, a sonic analogue of a black hole. The quantum treatment of the…

Atomic Physics · Physics 2009-11-10 S. Giovanazzi

The dynamical scaling of quantum critical systems in thermal equilibrium may be inherited in the driven steady-state, leading to universal out-of-equilibrium behaviour. This attractive notion has been demonstrated in just a few cases. We…

Strongly Correlated Electrons · Physics 2015-06-04 Julian Sonner , Andrew G. Green

The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Tin-Long Chau , Pei-Ming Ho , Hikaru Kawai , Wei-Hsiang Shao , Cheng-Tsung Wang
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