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A damped oscillator heat bath model is a modification of the standard heat bath model, wherein each bath oscillator itself has a Markovian coupling to its own heat bath [1]. We modify such a model to one where the resulting damping of the…

Statistical Mechanics · Physics 2026-04-20 Thomas Guff , Andrea Rocco

We study the dynamics of heavy quarks in a thermalized quark-gluon plasma with a time-correlated thermal noise, $\eta$. In this case it is said that $\eta$ has memory. We use an integro-differential Langevin equation in which the memory…

High Energy Physics - Phenomenology · Physics 2022-09-14 Marco Ruggieri , Pooja , Jai Prakash , Santosh K. Das

We study the heavy quark dynamics in the presence of memory within the framework of a generalized Langevin equation. Time correlated thermal noise with power-law decay is generated by a fractional differential equation, formulated using the…

High Energy Physics - Phenomenology · Physics 2026-04-10 Jai Prakash , Ling Hai Li , Ying Shan Zhao , Yifeng Sun

We compute the heavy quark momentum diffusion coefficient using effective kinetic theory for a system going through bottom-up isotropization until approximate hydrodynamization. We find that when comparing the nonthermal diffusion…

High Energy Physics - Phenomenology · Physics 2025-06-25 Kirill Boguslavski , Aleksi Kurkela , Tuomas Lappi , Florian Lindenbauer , Jarkko Peuron

We study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

Statistical Mechanics · Physics 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

Atomic heating is a fundamental phenomenon governed by the thermal spike effect during energetic deposition. This work presented another insight into thermal spike using a coupled classical oscillator model instead of a typical heat…

Computational Physics · Physics 2024-12-05 Jiajian Guan , Yue He , Bin Liao , Xu Zhang

We consider a thermal quantum harmonic oscillator weakly coupled to a heat bath at a different temperature. We analytically study the quantum heat exchange statistics between the two systems using the quantum-optical master equation. We…

Quantum Physics · Physics 2018-11-14 Tobias Denzler , Eric Lutz

We study heavy quark energy loss and thermalization in hot and dense nuclear medium. The diffusion of heavy quarks is calculated via a Langevin equation, both for a static medium as well as for a quark-gluon plasma (QGP) medium generated by…

Nuclear Theory · Physics 2015-06-11 Shanshan Cao , Guang-You Qin , Steffen A. Bass

We study the thermalization process of charm quarks in hot and dense matter. The diffusion of heavy quarks is calculated via a Langevin equation, both for a static medium as well as a QGP medium generated by a (3+1)D hydrodynamic model. We…

Nuclear Theory · Physics 2011-12-06 Shanshan Cao , Steffen A. Bass

We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to…

Statistical Mechanics · Physics 2023-05-23 Andrea Plati , Andrea Puglisi , Alessandro Sarracino

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

High Energy Physics - Theory · Physics 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure…

Quantum Physics · Physics 2014-04-14 O. N. Golubjeva , S. V. Sidorov

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

The time-dependent transmission coefficient for the Kramers problem exhibits different behaviors in different parameter regimes. In the high friction regime it decays monotonically ("non-adiabatic"), and in the low friction regime it decays…

Statistical Mechanics · Physics 2009-10-31 Ramon Reigada , Aldo H. Romero , Katja Lindenberg , Jose M. Sancho

We consider the process of diffusion scattering of a wave function given on the phase space. In this process the heat diffusion is considered only along momenta. We write down the modified Kramers equation describing this situation. In this…

Mathematical Physics · Physics 2016-10-04 E. M. Beniaminov

High-energy heavy ion collider experiments at RHIC and LHC have revealed that relativistic hydrodynamic models describe the hot and dense quark matter quantitatively. In this study, I develop a novel dissipative hydrodynamic model at finite…

Nuclear Theory · Physics 2013-02-11 Akihiko Monnai

In these proceedings, we compute the heavy quark momentum diffusion coefficient using QCD effective kinetic theory for a plasma going through the bottom-up thermalization scenario until approximate hydrodynamization. This transport…

High Energy Physics - Phenomenology · Physics 2025-06-25 Kirill Boguslavski , Aleksi Kurkela , Tuomas Lappi , Florian Lindenbauer , Jarkko Peuron

This preprint contains the English translation of the paper "Relaxation dynamics of a quantum chain of harmonic oscillators", which was published by the author in 1980 in the Ukrainian Physical Journal. Comments describing its motivations,…

Statistical Mechanics · Physics 2012-01-30 S. B. Rutkevich

We study the emergence over time of a universal, uniform distribution of quantum states supported on a finite subsystem, induced by projectively measuring the rest of the system. Dubbed deep thermalization, this phenomenon represents a form…

Quantum Physics · Physics 2023-01-04 Matteo Ippoliti , Wen Wei Ho
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