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We investigate the low-temperature dynamics of a simple stochastic model, introduced recently in the context of the physics of glasses. The slowest characteristic time at equilibrium diverges exponentially at low temperature. On smaller…

Statistical Mechanics · Physics 2009-10-30 C Godreche , J M Luck

The Fluctuation Theorem describes the probability ratio of observing trajectories that satisfy or violate the second law of thermodynamics. It has been proved in a number of different ways for thermostatted deterministic nonequilibrium…

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

We demonstrate for the first time a linear-zigzag phase transition induced solely by temperature of the $^{40}$Ca$^{+}$ ion crystals in a surface-electrode trap. In contrast to the previously observed counterparts based on change of the…

Quantum Physics · Physics 2019-10-08 J. Li , L. L. Yan , L. Chen , Z. C. Liu , F. Zhou , J. Q. Zhang , W. L. Yang , M. Feng

We introduce a class of stochastic weakly coupled map lattices, as models for studying heat conduction in solids. Each particle on the lattice evolves according to an internal dynamics that depends on its energy, and exchanges energy with…

Statistical Mechanics · Physics 2013-02-18 François Huveneers

Long-ranged correlations generically exist in non-equilibrium fluid systems. In the case of a non-equilibrium steady state caused by a temperature gradient the correlations are especially long-ranged and strong. The anomalous light…

Statistical Mechanics · Physics 2016-11-23 T. R. Kirkpatrick , J. R. Dorfman , J. V. Sengers

Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system under influence of fluctuations.…

Statistical Mechanics · Physics 2020-03-19 V. V. Ryazanov

We address the equilibrium and out-of-equilibrium behavior of the particle density in many-body systems undergoing quantum transitions driven by the chemical potential $\mu$. They originate from a nontrivial interplay between noncritical…

Statistical Mechanics · Physics 2024-07-22 Davide Rossini , Ettore Vicari

We present experimental observations and numerical simulations of a wrinkling instability that occurs at sufficiently high strain rates in the trembling regime of vesicle dynamics in steady linear flow. Spectral and statistical analysis of…

Soft Condensed Matter · Physics 2014-07-11 Michael Levant , David Abreu , Udo Seifert , Victor Steinberg

In an adiabatically shielded system the total enthalpy is conserved. Enthalpy fluctuations of an arbitrarily chosen subsystem must be buffered by the remainder of the total system which serves as a heat reservoir. The magnitude of these…

Biological Physics · Physics 2015-06-16 Lars D. Mosgaard , Andrew D. Jackson , Thomas Heimburg

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian…

Statistical Mechanics · Physics 2023-08-23 Leonardo Galliano , Michael E. Cates , Ludovic Berthier

We study Langevin dynamics of a driven charged particle in the presence as well as in the absence of magnetic field. We discuss the validity of various work fluctuation theorems using different model potentials and external drives. We also…

Statistical Mechanics · Physics 2007-05-23 A. M. Jayannavar , Mamata Sahoo

Elucidating the energy transfer between a quantum system and a reservoir is a central issue in quantum non-equilibrium thermodynamics, which could provide novel tools to engineer quantum-enhanced heat engines. The lack of information on the…

The Langevin dynamics of a system exhibiting a Fluctuation Induced First Order Phase Transition is solved within the self consistent Hartree Approximation. Competition between interactions at short and long length scales gives rise to…

Soft Condensed Matter · Physics 2013-05-29 Roberto Mulet , Daniel Stariolo

These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibrium phenomena. They show how these methods allow…

Statistical Mechanics · Physics 2009-11-13 B. Derrida

Stochastic thermodynamics has largely succeeded in characterizing both equilibrium and far-from-equilibrium phenomena. Yet many opportunities remain for application to mesoscopic complex systems -- especially biological ones -- whose…

Statistical Mechanics · Physics 2022-11-08 Mikhael T. Semaan , James P. Crutchfield

The physical significance of the stochastic processes associated to the generalized Gibbs ensembles is scrutinized here with special attention to the thermodynamic fluctuations of small systems. The contact with the environment produces an…

Statistical Mechanics · Physics 2024-09-04 Amilcare Porporato , Salvatore Calabrese , Lamberto Rondoni

Fluids cooled to the liquid-vapor critical point develop system-spanning fluctuations in density that transform their visual appearance. Despite the rich phenomenology of this critical point, there is not currently an explanation of the…

Statistical Mechanics · Physics 2020-10-09 Moupriya Das , Jason R. Green

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

Statistical Mechanics · Physics 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

We present in detail a Langevin formalism for constructing stochastic dynamical equations for active-matter systems coupled to a thermal bath. We apply the formalism to clarify issues of principle regarding the sources and signatures of…

Soft Condensed Matter · Physics 2018-12-26 Lokrshi Prawar Dadhichi , Ananyo Maitra , Sriram Ramaswamy

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado
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