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Generative diffusion models have emerged as powerful tools for sampling high-dimensional distributions, yet they typically rely on white gaussian noise and noise schedules to destroy and reconstruct information. Here, we demonstrate that…

We establish a set of equations for moments of the distribution function. In the relaxation time approximations, these moments obey a coupled set of equations that can be truncated order-by-order. Solving the equations of moments, we are…

Nuclear Theory · Physics 2019-02-20 Jean-Paul Blaizot , Li Yan

Friction is central to the motion of active (self-propelled) objects such as bacteria, animals, and robots. While in a viscous fluid friction is described by Stokes's law, objects in contact with other solid bodies are often governed by…

Soft Condensed Matter · Physics 2024-11-12 Alexander P. Antonov , Lorenzo Caprini , Anton Ldov , Christian Scholz , Hartmut Löwen

Central spin systems, in which a {\it central} spin is singled out and interacts nonlocally with several {\it bath} spins, are paradigmatic models for nitrogen-vacancy centers and quantum dots. They show complex emergent dynamics and…

Statistical Mechanics · Physics 2024-03-05 Federico Carollo

The existence and uniqueness of a steady state for nonequilibrium systems (NESS) is a fundamental subject and a main theme of research in statistical mechanics for decades. For Gaussian systems, such as a chain of harmonic oscillators…

Statistical Mechanics · Physics 2015-10-13 J. -T. Hsiang , B. L. Hu

The presence of symmetries in a closed many-body quantum system results in integrability. For such integrable systems, complete thermalization does not occur. As a result, the system remains non-ergodic. On the other hand, a set of…

Quantum Physics · Physics 2021-04-20 Saptarshi Saha , Rangeet Bhattacharyya

The unavoidable interaction of a quantum system with its surrounding (bath) is not always detrimental for quantum properties. For instance, under some specific conditions (that we identify as indistinguishability), a many-body system can…

Quantum Physics · Physics 2019-05-07 C. L. Latune , I. Sinayskiy , F. Petruccione

Baths produce friction and random forcing on particles suspended in them. The relation between noise and friction in (generalized) Langevin equations is usually referred to as the second fluctuation-dissipation theorem. We show what is the…

Statistical Mechanics · Physics 2015-06-17 Christian Maes

We consider a slow elastic string with Klein-Gordon dynamics coupled to a bath of run-and-tumble particles. We derive and solve the induced Langevin-Klein-Gordon string dynamics with explicit expressions for the streaming term, friction…

Statistical Mechanics · Physics 2026-05-11 Aaron Beyen , Christian Maes , Ji-Hui Pei

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

Statistical Mechanics · Physics 2016-06-29 Kay Brandner , Udo Seifert

We discuss Einstein gravity for a fluid consisting of particles interacting with an unidentified environment of some other particles whose dissipative effect is approximated by a diffusion. The environment is described by a time dependent…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Z. Haba

When a small dynamical system that is initially in contact with a heat bath is detached from this heat bath and then caused to undergo a quasi-static adiabatic processes, the statistical distribution of the system's energy differs from that…

Statistical Mechanics · Physics 2007-05-23 K. Sato , K. Sekimoto , T. Hondou , F. Takagi

Many kinds of active particles, such as bacteria or active colloids, move in a thermostatted fluid by means of self-propulsion. Energy injected by such a non-equilibrium force is eventually dissipated as heat in the thermostat. Since…

Statistical Mechanics · Physics 2017-07-17 Andrea Puglisi , Umberto Marini Bettolo Marconi

Involvement of the environment is indispensable for establishing the statistical distribution of system. We analyze the statistical distribution of a quantum system coupled strongly with a heat bath. This distribution is determined by…

Quantum Physics · Physics 2024-07-23 Yu Su , Zi-Fan Zhu , Yao Wang , Rui-Xue Xu , YiJing Yan

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Active matter describes systems whose constituents convert energy from their surroundings into directed motion, such as bacteria or catalytic colloids. We establish a thermodynamic law for dilute suspensions of interacting active particles…

Statistical Mechanics · Physics 2025-07-22 Lennart Dabelow , Ralf Eichhorn

We study the speed of fluctuation of a quantum system around its thermodynamic equilibrium state, and show that the speed will be extremely small for almost all times in typical thermodynamic cases. The setting considered here is that of a…

Quantum Physics · Physics 2017-08-01 Noah Linden , Sandu Popescu , Anthony J Short , Andreas Winter

A Stirling engine made of a colloidal particle in contact with a nonequilibrium bath is considered and analyzed with the tools of stochastic energetics. We model the bath by non Gaussian persistent noise acting on the colloidal particle.…

Statistical Mechanics · Physics 2017-05-24 Ruben Zakine , Alexandre Solon , Todd Gingrich , Frédéric van Wijland

We study the dynamics of a quantum particle hopping on a simple cubic lattice and driven by a constant external force. It is coupled to an array of identical, independent thermal reservoirs consisting of free, massless Bose fields, one at…

Mathematical Physics · Physics 2015-06-16 Wojciech De Roeck , Juerg Froehlich , Kevin Schnelli