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The 1D Ising model is analytically studied in a spatially periodic and oscillatory external magnetic field using the transfer-matrix method. For low enough magnetic field intensities the correlation between the external magnetic field and…

Statistical Mechanics · Physics 2009-10-31 Z. Neda , A. Rusz , E. Ravasz , P. Lakdawala , P. M. Gade

To probe the connection between the dynamic phase transition and stochastic resonance, we study the mean-field kinetic Ising model and the two-dimensional Josephson-junction array in the presence of appropriate oscillating magnetic fields.…

Statistical Mechanics · Physics 2007-05-23 Beom Jun Kim , Petter Minnhagen , Hyun Jin Kim , M. Y. Choi , Gun Sang Jeon

We study both experimentally and theoretically the statistical properties of the energy exchanged between two electrical conductors, kept at different temperature by two different heat reservoirs, and coupled by the electric thermal noise.…

Statistical Mechanics · Physics 2015-06-17 Sergio Ciliberto , Alberto Imparato , Antoine Naert , Marius Tanase

We analyse the effect of synchronization between noise and periodic signal in a two-state spatially extended system analytically. Resonance features are demonstrated. To have the maximum cooperation between signal and noise, it is shown…

Statistical Mechanics · Physics 2007-05-23 Asish K. Dhara , S. R. Banerjee

We study temperature fluctuations in mesoscopic $N$-body systems undergoing non-equilibrium processes from the perspective of stochastic thermodynamics. By introducing a stochastic differential equation, we describe the evolution of the…

Statistical Mechanics · Physics 2026-05-19 Zhaoyu Fei , Yu-Han Ma

We adopt a stochastic approach to study the charge transport in transistors. In this approach, the hole and electron densities are ruled by diffusion-reaction stochastic partial differential equations satisfying local detailed balance…

Statistical Mechanics · Physics 2025-06-17 Jiayin Gu

We review two recent results on the ground state properties of bosonic systems trapped by a double well external potential. In the limit of large population and large separation between the wells we prove that fluctuations in the number of…

Mathematical Physics · Physics 2022-07-13 Alessandro Olgiati

We discuss the effect of stochastic resonance in a simple model of magnetic reversals. The model exhibits statistically stationary solutions and bimodal distribution of the large scale magnetic field. We observe a non trivial amplification…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Jean-Francois Pinton

We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which…

Statistical Mechanics · Physics 2009-11-13 A. Baule , E. G. D. Cohen

A fluctuation theory is presented for the nonequilibrium second order phase transition in a quasi-two-dimensional electron gas. A transverse (with respect to the current through the sample) spontaneous electric field as an order parameter…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. M. Shmelev , E. M. Epshtein , A. S. Matveev

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

Recent results on the stationary state Fluctuation Theorems for work and heat fluctuations of Langevin systems are presented. The relevance of finite time corrections in understanding experimental and simulation results is explained in the…

Statistical Mechanics · Physics 2007-07-31 E. G. D. Cohen , Ramses van Zon

We study the thermodynamics of two-stroke heat engines where two bosonic modes $a$ and $b$ are coupled by the general nonlinear interaction $V_{\theta} = \exp {(\theta a^{\dagger n}b^m -\theta^* a^n b^{\dagger m})}$. By adopting the…

Quantum Physics · Physics 2025-05-21 Giovanni Chesi , Chiara Macchiavello , Massimiliano Federico Sacchi

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to…

Statistical Mechanics · Physics 2022-12-07 Deepak Gupta , Carlos A. Plata

We discuss the transient and steady state fluctuation relation for a mechanical system in contact with two deterministic thermostats at different temperatures. The system is a modified Lorentz gas in which the fixed scatterers exchange…

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

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

Amorphous dielectric materials have been known to host two-level systems (TLSs) for more than four decades. Recent developments on superconducting resonators and qubits enable detailed studies on the physics of TLSs. In particular,…

Quantum Physics · Physics 2021-09-23 J. H. Béjanin , C. T. Earnest , A. S. Sharafeldin , M. Mariantoni

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

The fluctuations of the work done by an external Gaussian random force on a harmonic oscillator that is also in contact with a thermal bath is studied. We have obtained the exact large deviation function as well as the complete asymptotic…

Statistical Mechanics · Physics 2011-11-08 Sanjib Sabhapandit

The measurement of thermal fluctuations provides information about the microscopic state of a thermodynamic system and can be used in order to extract work from a single heat bath in a suitable cyclic process. We present a minimal framework…

Statistical Mechanics · Physics 2015-06-03 Léo Granger , Holger Kantz