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We investigate the stochastic motion of a Brownian particle in the harmonic potential with a time-dependent force constant. It may describe the motion of a colloidal particle in an optical trap where the potential well is formed by a…

统计力学 · 物理学 2014-04-11 Chulan Kwon , Jae Dong Noh , Hyunggyu Park

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

统计力学 · 物理学 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

We investigate the distribution of work performed on a Brownian particle in a time-dependent asymmetric potential well. The potential has a harmonic component with time-dependent force constant and a time-independent logarithmic barrier at…

统计力学 · 物理学 2013-02-06 Artem Ryabov , Marcel Dierl , Petr Chvosta , Mario Einax , Philipp Maass

We investigate the statistics of work performed on a noninteracting electron gas confined into a ring as a threaded magnetic field is turned on. For an electron gas initially prepared in a grand canonical state it is demonstrated that the…

统计力学 · 物理学 2011-07-27 Juyeon Yi , Peter Talkner , Michele Campisi

We perform an analytic study on the stochastic thermodynamics of a small classical particle trapped in a time dependent single-well potential in the highly underdamped limit. It is shown that the nonequilibrium probability density function…

统计力学 · 物理学 2019-06-26 Domingos S. P. Salazar , Sérgio A. Lira

For a Brownian system the evolution of thermodynamic quantities is a stochastic process. In particular, the work performed on a driven colloidal particle held in an optical trap changes for each realization of the experimental manipulation,…

统计力学 · 物理学 2015-05-19 Giuseppe Pesce , Giovanni Volpe , Alberto Imparato , Giulia Rusciano , Antonio Sasso

We derive the distribution function of work performed by a harmonic force acting on a uniformly dragged Brownian particle subjected to a rotational torque. Following the Onsager and Machlup's functional integral approach, we obtain the…

统计力学 · 物理学 2016-01-29 Bappa Saha , Sutapa Mukherji

We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in…

In this work, we numerically verify the Jarzynski equality and Crook fluctuation theorem for a Brownian particle diffusing in a heterogeneous thermal bath and hence having a non-Gaussian position distribution. We use the…

统计力学 · 物理学 2026-03-05 A. Saravanan , I. Iyyappan

We discuss the stochastic thermodynamics of systems that are described by a time-dependent density field, for example simple liquids and colloidal suspensions. For a time-dependent change of external parameters, we show that the Jarzynski…

统计力学 · 物理学 2014-03-18 T. Leonard , B. Lander , U. Seifert , T. Speck

We extend Tooru-Cohen analysis for nonequilirium steady state(NSS) of a Brownian particle to nonequilibrium oscillatory state (NOS) of Brownian particle by considering time dependent external drive protocol. We consider an unbounded charged…

统计力学 · 物理学 2008-04-20 Navinder Singh

We present a diagrammatic formulation of a theory for the time dependence of density fluctuations in equilibrium systems of interacting Brownian particles. To facilitate derivation of the diagrammatic expansion we introduce a basis that…

软凝聚态物质 · 物理学 2009-11-13 Grzegorz Szamel

We have considered the underdamped motion of a Brownian particle in the presence of a correlated external random force. The force is modeled by an Ornstein-Uhlenbeck process. We investigate the fluctuations of the work done by the external…

统计力学 · 物理学 2014-11-19 Arnab Pal , Sanjib Sabhapandit

The system consists of a Brownian particle immersed in a heat bath trapped in optical tweezers with a time-dependent strength acting as an external protocol. In [Phys. Rev. Letts., 98:108301, 2007] the optimal mean work in the overdamped…

统计力学 · 物理学 2023-02-03 Pedro J. Colmenares , Oscar Paredes-Altuve

We argue that the definition of the thermodynamic work done on a charged particle by a time-dependent electromagnetic field is an open problem, because the particle's Hamiltonian is not gauge-invariant. The solution of this problem demands…

统计力学 · 物理学 2016-06-29 A. E. Allahverdyan , S. G. Babajanyan

Brownian dynamics simulations are used to study the detachment of a particle from a substrate. Although the model is simple and generic, we attempt to map its energy, length and time scales onto a specific experimental system, namely a bead…

软凝聚态物质 · 物理学 2021-01-08 Emma Hodges , B. M. Cooke , E. M. Sevick , Debra J. Searles , B. Duenweg , J. Ravi Prakash

Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work…

统计力学 · 物理学 2021-02-12 Christoph Streißnig , Holger Kantz

We consider passive Brownian particles trapped in an "imperfect" harmonic trap. The trap is imperfect because it is randomly turned off and on, and as a result, particles fail to equilibrate. Another way to think about this is to say that a…

统计力学 · 物理学 2024-10-10 Derek Frydel

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

统计力学 · 物理学 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

We investigate the persistence probability of a Brownian particle in a harmonic potential, which decays to zero at long times -- leading to an unbounded motion of the Brownian particle. We consider two functional forms for the decay of the…

统计力学 · 物理学 2012-07-26 D. Chakraborty
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