Hysteresis in the Underdamped Driven Frenkel-Kontorova Model

Journal Article · Sat Nov 01 00:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.3692· OSTI ID:545010

Braun, O M; Bishop, A R; Roeder, J ^[1]; Braun, O M ^[2]

---

1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Institute of Physics, Ukrainian Academy of Sciences, 46 Science Avenue, UA-252022 Kiev (Ukraine)

We study a commensurate chain of atoms subject to a periodic substrate potential, damping, and a thermal bath, and driven by an external dc force. In the underdamped case the average system velocity as a function of adiabatically varying force exhibits hysteresis at nonzero temperatures. The hysteresis exists due to the instability of the driven motion of kinks at high velocities. In the force-decreasing process, the system passes through two regimes: the {open_quotes}cavity-mode{close_quotes} regime (a standing wave superimposed on the state of running atoms) and the {open_quotes}traffic-jam{close_quotes} regime, where the mobility is due to kink-antikink pairs, the kinks being bunched into compact groups. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 545010
• Journal Information: Physical Review Letters, Vol. 79, Issue 19; Other Information: PBD: Nov 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
MASS TRANSFER
DYNAMICS
HYSTERESIS
COMPUTERIZED SIMULATION
DAMPING
CHAINS
KINK INSTABILITY
MOBILITY