q-calculus and irreversible dynamics on a hierarchical lattice

Ayse ERZAN

Makale detayları

q-calculus and irreversible dynamics on a hierarchical lattice

Yazarlar:

Ayse ERZAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.9-20

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

Türkçe

Document ID (Org No.):

2000763211

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

On a lattice with equal spacing on the logarithmic scale, a  momentum operator that respects the asymmetry of this nonlinear  lattice yields a kinetics that can be understood in terms of diffusion  on an underlying ultrametric space, if one also identifies the  cannonical commutator with the time dilation operator.  The motion to  which this non-conventional kinetics corresponds is irreversible, with  an explicit violation of time reversal symmetry resulting from the  spreading with time of a probability distribution over a larger and  larger volume of the phase space.

 

On a lattice with equal spacing on the logarithmic scale, a  momentum operator that respects the asymmetry of this nonlinear  lattice yields a kinetics that can be understood in terms of diffusion  on an underlying ultrametric space, if one also identifies the  cannonical commutator with the time dilation operator.  The motion to  which this non-conventional kinetics corresponds is irreversible, with  an explicit violation of time reversal symmetry resulting from the  spreading with time of a probability distribution over a larger and  larger volume of the phase space.

Makale detayları

q-calculus and irreversible dynamics on a hierarchical lattice

Yazarlar:

Ayse ERZAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.9-20

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

Türkçe

Document ID (Org No.):

2000763211

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Turk. J. Phys.

23

(1999)

9-20. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.23

iss.1.

Sayı

Makale detayları

q-calculus and irreversible dynamics on a hierarchical lattice

Yazarlar: Ayse ERZAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.9-20

Belge Tipi: Makale

Yayın Tarihi: 12/1998

Belge Dili: Türkçe

Document ID (Org No.): 2000763211

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Turk. J. Phys.

23

(1999)

9-20. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.23

iss.1.

Sayı

Yazarlar:

Ayse ERZAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.9-20

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

Türkçe

Document ID (Org No.):

2000763211

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101