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We analyze a thermodynamically consistent model of CMOS-based ring oscillators near the onset of coherent voltage oscillations. For driving voltages close to the critical value, we derive the normal form of the Hopf bifurcation that…

Statistical Mechanics · Physics 2025-12-02 Ashwin Gopal , Massimiliano Esposito , Jan Meibohm

Molecular dynamics simulations of a three dimensional relativistic gas with a soft potential are conducted with different interactions and particle masses. For all cases the velocity distribution agrees numerically with the J\"uttner…

Statistical Mechanics · Physics 2020-10-07 Noah Kubli , Hans J. Herrmann

Diverse physical systems are characterized by their response to small perturbations. Near thermodynamic equilibrium, the fluctuation-dissipation theorem provides a powerful theoretical and experimental tool to determine the nature of…

Statistical Mechanics · Physics 2020-03-25 Jeremy A. Owen , Todd R. Gingrich , Jordan M. Horowitz

The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and…

Statistical Mechanics · Physics 2009-10-31 Gang Su , Masuo Suzuki

The issue of the thermalization of an isolated quantum system is addressed by considering a perfect gas confined by gravity and initially trapped above a certain height. As we are interested in the behavior of truly isolated systems, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Camalet

The author's modified Coulomb damping model has been generalized to accommodate internal friction that derives from several dissipation mechanisms acting simultaneously. Because of its fundamental nonlinear nature, internal friction damping…

Classical Physics · Physics 2007-05-23 Randall D. Peters

We investigate stationary states of the linear damped stochastic oscillator driven by L\'evy noises. In the long time limit kinetic and potential energies of the oscillator do not fulfill the equipartition theorem and their distributions…

Statistical Mechanics · Physics 2017-10-18 Bartlomiej Dybiec , Ewa Gudowska-Nowak , Igor M. Sokolov

Phase transitions impose topological constraints on thermodynamic state variables, masking energetic fluctuations at the phase boundary. This constraint is most apparent in melting systems, where temperature remains pinned despite continued…

Atmospheric and Oceanic Physics · Physics 2026-02-09 Zhiang Xie

The problem of transient hysteresis cycles induced by the pre-sliding kinetic friction is relevant for analyzing the system dynamics e.g. of micro- and nano-positioning instruments and devices and their controlled operation. The associated…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Michael Ruderman

We investigate a stochastic heat engine based on an over-damped particle diffusing on the positive real axis in an externally driven time-periodic log-harmonic potential. The periodic driving is composed of two isothermal and two adiabatic…

Statistical Mechanics · Physics 2014-05-28 Viktor Holubec

We show that a natural realization of the thermostatistics of q-bosons can be built on the formalism of q-calculus and that the entire structure of thermodynamics is preserved if we use an appropriate Jackson derivative in place of the…

Quantum Physics · Physics 2011-08-17 A. Lavagno , P. Narayana Swamy

For thermostatted dissipative systems the Fluctuation Theorem gives an analytical expression for the ratio of probabilities that the time averaged entropy production in a finite system observed for a finite time, takes on a specified value…

Statistical Mechanics · Physics 2009-10-31 Denis J. Evans , Debra J. Searles , Emil Mittag

Despite wide-scale deployment of phasor measurement unit technology, locating the sources of low frequency forced oscillations in power systems is still an open research topic. The dissipating energy flow method is one source location…

Systems and Control · Computer Science 2018-11-12 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn , Bin Wang , Slava Maslennikov

The role of thermodynamics in continuum mechanics and the derivation of the proper constitutive relations is a discussed subject of Rational Mechanics. The classical literature did not use the accumulated knowledge of thermostatics and was…

Statistical Mechanics · Physics 2020-09-02 Peter Ván

Different models are described where non-interacting particles generate dissipative effective forces by the mixing of infinitely many soft normal modes. The effective action is calculated for these models within the Closed Time Path…

High Energy Physics - Theory · Physics 2015-02-16 Janos Polonyi

Foundations of the analysis of scaling in randomly stirred compressible fluid with the aid of stochastic differential equations are discussed in the example of perfect gas. The structure of the stress tensor with nonnegative shear and bulk…

Fluid Dynamics · Physics 2019-04-16 Juha Honkonen

Arguments are presented that the assumption, implicit to traditional statistical thermodynamics, that at zero temperature all erratic motions cease, should be dispensed with. Assuming instead a random ultrarelativistic unobservable motion,…

Quantum Physics · Physics 2007-05-23 Vesselin I. Dimitrov

The Misner and Sharp approach to the study of gravitational collapse is extended to the dissipative case in, both, the streaming out and the diffusion approximations. The role of different terms in the dynamical equation are analyzed in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Herrera , N. O. Santos

Classical-like formulas are given in order to evaluate thermal averages of observables belonging to a quantum nonlinear system with dissipation described by the Caldeira-Leggett model [Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N.Y.) 149,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Andrea Rossi , Valerio Tognetti , Ruggero Vaia

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert