TRANSITION FROM CHAOTIC TO NONCHAOTIC BEHAVIOR IN RANDOMLY DRIVEN SYSTEMS

被引：85

作者：

FAHY, S ^{[1
]}

HAMANN, DR ^{[1
]}

机构：

[1] AT&T BELL LABS,MURRAY HILL,NJ 07974

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 69卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.69.761

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the explicit dependence of the final trajectory on initial conditions for randomly driven nonlinear dynamical systems which are stopped and restarted with random velocities at regular intervals (a Brownian-type motion). We find a transition from chaotic behavior for long intervals between stops to nonchaotic behavior for short intervals between stops. For short intervals, the Lyapunov exponent is related to the thermal average square force due to the potential. The consequences for ''hybrid molecular-dynamics Monte Carlo'' sampling methods are discussed.

引用

页码：761 / 764

页数：4

共 9 条

[1]

BAKER GL, 1990, CHAOTIC DYNAMICS INT

[2]

BAKER GL, 1990, NOISE CHAOS NONLINEA

[3]

Balescu R., 1975, EQUILIBRIUM NONEQUIL

[4]

BINDER K, 1988, MONTE CARLO METHODS

[5] Stochastic problems in physics and astronomy [J].

Chandrasekhar, S .

REVIEWS OF MODERN PHYSICS, 1943, 15 (01) :0001-0089

[6] HYBRID MONTE-CARLO [J].

DUANE, S ;

KENNEDY, AD ;

PENDLETON, BJ ;

ROWETH, D .

PHYSICS LETTERS B, 1987, 195 (02) :216-222

[7] ENERGY MEASUREMENT IN AUXILIARY-FIELD MANY-ELECTRON CALCULATIONS [J].

HAMANN, DR ;

FAHY, SB .

PHYSICAL REVIEW B, 1990, 41 (16) :11352-11363

[8] NEW ALGORITHM FOR THE NUMERICAL-SIMULATION OF FERMIONS [J].

SCALETTAR, RT ;

SCALAPINO, DJ ;

SUGAR, RL .

PHYSICAL REVIEW B, 1986, 34 (11) :7911-7917

[9] FERMION SIMULATIONS IN SYSTEMS WITH NEGATIVE WEIGHTS [J].

WHITE, SR ;

WILKINS, JW .

PHYSICAL REVIEW B, 1988, 37 (10) :5024-5031

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