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We consider a regular chain of quantum particles with nearest neighbour interactions in a canonical state with temperature $T$. We analyse the conditions under which the state factors into a product of canonical density matrices with…

Quantum Physics · Physics 2007-05-23 Michael Hartmann , Guenter Mahler , Ortwin Hess

My means of extensive Monte Carlo simulations the mean radius of gyration and the end-to-end distance are calculated for a single chain in a solvent over a broad range of volume fractions, pressures and temperatures. Our results indicate…

Statistical Mechanics · Physics 2007-05-23 C. Ortiz-Estrada , G. Luna-Barcenas , G. Ramirez-Santiago , I. C. Sanchez , J. F. Alvarado

We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the…

Statistical Mechanics · Physics 2018-10-24 Dominik Lips , Artem Ryabov , Philipp Maass

We evaluate the exact concurrence between any two spins in a cyclic XX chain of n spins placed in a uniform transverse magnetic field, both at zero and finite temperature, by means of the Jordan-Wigner transformation plus a number parity…

Quantum Physics · Physics 2015-05-13 N. Canosa , R. Rossignoli

An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have random displacements and random velocities corresponding to a…

Statistical Mechanics · Physics 2020-11-04 Anton M. Krivtsov , Andrey S. Murachev

Chiral active matter is a variant of active matter systems in which the motion of the constituent particles violates mirror symmetry. In this letter, we simulate two-dimensional chiral Active Brownian Particles, the simplest chiral model in…

Soft Condensed Matter · Physics 2025-12-03 Kangeun Jeong , Yuta Kuroda , Yuki Asatani , Takeshi Kawasaki , Kunimasa Miyazaki

Employing Monte-Carlo simulation techniques we investigate the statistical properties of equally charged particles confined in a one-dimensional box trap and detect a crossover from a crystalline to a cluster phase with increasing…

Statistical Mechanics · Physics 2013-04-23 A. V. Zampetaki , F. K. Diakonos , P. Schmelcher

We consider a Brownian particle in a ``meandering'' periodic potential when the ambient temperature is a periodically or stochastically varying function of time. Though far from equilibrium, the linear response of the particle to an…

Statistical Mechanics · Physics 2009-11-10 Ralf Eichhorn , Peter Reimann

We investigate the emergent interactions between two active Brownian particles coupled by an attractive harmonic potential and in contact with a thermal reservoir. By analyzing the stationary distribution of their separation, we demonstrate…

Statistical Mechanics · Physics 2025-10-08 Ritwick Sarkar , Sreya Chatterjee , Urna Basu

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

We investigate the non-equilibrium evolution of ideal Brownian particles confined between two walls, following simultaneous quenches of the temperature and a constant external force. We compute (analytically and in numeric simulations) the…

Statistical Mechanics · Physics 2024-04-23 Hamid Khalilian , Mehrana R. Nejad , Ali G. Moghaddam , Christian M. Rohwer

We characterize the zero-temperature limits of minimal free energy states for interacting corpora -- that is, for objects with finitely many degrees of freedom, such as articulated rods. These limits are measures supported on…

Analysis of PDEs · Mathematics 2008-10-16 Peter Constantin , Andrej Zlatos

An isolated spin system that is in internal thermodynamic equilibrium and that has an upper limit to its allowed energy states can possess a negative temperature. We calculate the thermodynamic characteristics and the concurrence in this…

Quantum Physics · Physics 2015-06-15 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

As highly tunable interacting systems, cold atoms in optical lattices are ideal to realize and observe negative absolute temperatures, T < 0. We show theoretically that by reversing the confining potential, stable superfluid condensates at…

Quantum Gases · Physics 2010-11-29 Akos Rapp , Stephan Mandt , Achim Rosch

A well-known result of Arratia shows that one can make rigorous the notion of starting an independent Brownian motion at every point of an arbitrary closed subset of the real line and then building a set-valued process by requiring…

Probability · Mathematics 2012-03-20 Steven N. Evans , Ben Morris , Arnab Sen

We study two correlated electrons in a nearest neighbour tight- binding chain, with both on site and nearest neighbour interaction. Both the cases of parallel and antiparallel spins are considered. In addition to the free electron band for…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. F. Weisz , F. Claro

The high-temperature limit of Standard Model generated by the contractions of gauge groups is discussed. Contraction parameters of gauge group $SU(2)$ of Electroweak Model and gauge group $SU(3)$ of Quantum Chromodynamics are taken…

General Physics · Physics 2016-04-13 Nikolai A. Gromov

Zero temperature limit in (1+1) directed polymers with finite range correlated random potential is studied. In terms of the standard replica technique it is demonstrated that in this limit the considered system reveals the one-step replica…

Statistical Mechanics · Physics 2017-02-01 Victor Dotsenko

We studied the dynamics of a quasi-one-dimensional chain-like system of charged particles at low temperature, interacting through a screened Coulomb potential in the presence of a local constriction. The response of the system when an…

Chaotic Dynamics · Physics 2009-11-11 G. Piacente , F. M. Peeters

The entanglement in a general mixed spin chain with arbitrary spin $S$ and 1/2 is investigated in the thermodynamical limit. The entanglement is witnessed by the magnetic susceptibility which decides a characteristic temperature for an…

Quantum Physics · Physics 2009-11-13 Xiang Hao , Shiqun Zhu